---
_id: '52665'
author:
- first_name: Michael
  full_name: Hillebrand, Michael
  id: '83856'
  last_name: Hillebrand
citation:
  ama: Hillebrand M. <i>Entwicklungssystematik Zur Integration von Eigenschaften Der
    Selbstheilung in Intelligente Technische Systeme </i>. Vol Band 403.; 2021.
  apa: 'Hillebrand, M. (2021). <i>Entwicklungssystematik zur Integration von Eigenschaften
    der Selbstheilung in Intelligente Technische Systeme : Vol. Band 403</i>.'
  bibtex: '@book{Hillebrand_2021, series={HNI-Verlagsschriftreihe}, title={Entwicklungssystematik
    zur Integration von Eigenschaften der Selbstheilung in Intelligente Technische
    Systeme }, volume={Band 403}, author={Hillebrand, Michael}, year={2021}, collection={HNI-Verlagsschriftreihe}
    }'
  chicago: Hillebrand, Michael. <i>Entwicklungssystematik Zur Integration von Eigenschaften
    Der Selbstheilung in Intelligente Technische Systeme </i>. Vol. Band 403. HNI-Verlagsschriftreihe,
    2021.
  ieee: M. Hillebrand, <i>Entwicklungssystematik zur Integration von Eigenschaften
    der Selbstheilung in Intelligente Technische Systeme </i>, vol. Band 403. 2021.
  mla: Hillebrand, Michael. <i>Entwicklungssystematik Zur Integration von Eigenschaften
    Der Selbstheilung in Intelligente Technische Systeme </i>. 2021.
  short: M. Hillebrand, Entwicklungssystematik Zur Integration von Eigenschaften Der
    Selbstheilung in Intelligente Technische Systeme , 2021.
date_created: 2024-03-20T10:07:10Z
date_updated: 2024-04-02T09:47:42Z
department:
- _id: '26'
language:
- iso: eng
publication_identifier:
  isbn:
  - 978-3-947647-22-4
series_title: HNI-Verlagsschriftreihe
status: public
title: 'Entwicklungssystematik zur Integration von Eigenschaften der Selbstheilung
  in Intelligente Technische Systeme '
type: dissertation
user_id: '5786'
volume: Band 403
year: '2021'
...
---
_id: '52664'
author:
- first_name: Liang
  full_name: Wu, Liang
  id: '30401'
  last_name: Wu
citation:
  ama: Wu L. <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für Analog-Digital-Wandler
    Mit Zeitversetzter Abtastung</i>. Vol 402.; 2021.
  apa: Wu, L. (2021). <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie für
    Analog-Digital-Wandler mit zeitversetzter Abtastung</i> (Vol. 402).
  bibtex: '@book{Wu_2021, series={HNI-Verlagsschriftreihe}, title={Ultrabreitbandige
    Sampler in SiGe-BiCMOS-Technologie für Analog-Digital-Wandler mit zeitversetzter
    Abtastung}, volume={402}, author={Wu, Liang}, year={2021}, collection={HNI-Verlagsschriftreihe}
    }'
  chicago: Wu, Liang. <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für
    Analog-Digital-Wandler Mit Zeitversetzter Abtastung</i>. Vol. 402. HNI-Verlagsschriftreihe,
    2021.
  ieee: L. Wu, <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie für Analog-Digital-Wandler
    mit zeitversetzter Abtastung</i>, vol. 402. 2021.
  mla: Wu, Liang. <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für Analog-Digital-Wandler
    Mit Zeitversetzter Abtastung</i>. 2021.
  short: L. Wu, Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für Analog-Digital-Wandler
    Mit Zeitversetzter Abtastung, 2021.
date_created: 2024-03-20T09:53:23Z
date_updated: 2024-04-02T09:47:49Z
department:
- _id: '26'
intvolume: '       402'
language:
- iso: eng
publication_identifier:
  isbn:
  - 978-3-947647-21-7
series_title: HNI-Verlagsschriftreihe
status: public
title: Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie für Analog-Digital-Wandler
  mit zeitversetzter Abtastung
type: dissertation
user_id: '5786'
volume: 402
year: '2021'
...
---
_id: '52814'
author:
- first_name: Denise
  full_name: Büttner, Denise
  id: '100819'
  last_name: Büttner
- first_name: Heike
  full_name: Roll , Heike
  last_name: 'Roll '
citation:
  ama: 'Büttner D, Roll  H. „Zunge: Sprache“ Literarische Mehrsprachigkeit im Deutschunterricht
    am Beispiel der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar. In: Hinzmann
    F, Storz C, Hülsmann A, Rosner U, Dupke B, eds. <i>Vermitteln - verbinden - verstehen.
    46. Jahrestagung des Fachverbandes Deutsch als Fremd- und Zweitsprache an der
    Technischen Universität Chemnitz </i>. Universitätsverlag Göttingen; 2021:85-103.'
  apa: 'Büttner, D., &#38; Roll , H. (2021). „Zunge: Sprache“ Literarische Mehrsprachigkeit
    im Deutschunterricht am Beispiel der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar.
    In F. Hinzmann, C. Storz, A. Hülsmann, U. Rosner, &#38; B. Dupke (Eds.), <i>Vermitteln
    - verbinden - verstehen. 46. Jahrestagung des Fachverbandes Deutsch als Fremd-
    und Zweitsprache an der Technischen Universität Chemnitz </i> (pp. 85–103). Universitätsverlag
    Göttingen.'
  bibtex: '@inbook{Büttner_Roll _2021, place={Göttingen}, title={„Zunge: Sprache“
    Literarische Mehrsprachigkeit im Deutschunterricht am Beispiel der Erzählung „Mutterzunge“
    von Emine Sevgi Özdamar}, booktitle={Vermitteln - verbinden - verstehen. 46. Jahrestagung
    des Fachverbandes Deutsch als Fremd- und Zweitsprache an der Technischen Universität
    Chemnitz }, publisher={Universitätsverlag Göttingen}, author={Büttner, Denise
    and Roll , Heike}, editor={Hinzmann, Friederike and Storz, Coretta  and Hülsmann,
    Annemarie  and Rosner, Ulrike  and Dupke, Benjamin }, year={2021}, pages={85–103}
    }'
  chicago: 'Büttner, Denise, and Heike Roll . “„Zunge: Sprache“ Literarische Mehrsprachigkeit
    im Deutschunterricht am Beispiel der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar.”
    In <i>Vermitteln - verbinden - verstehen. 46. Jahrestagung des Fachverbandes Deutsch
    als Fremd- und Zweitsprache an der Technischen Universität Chemnitz </i>, edited
    by Friederike Hinzmann, Coretta  Storz, Annemarie  Hülsmann, Ulrike  Rosner, and
    Benjamin  Dupke, 85–103. Göttingen: Universitätsverlag Göttingen, 2021.'
  ieee: 'D. Büttner and H. Roll , “„Zunge: Sprache“ Literarische Mehrsprachigkeit
    im Deutschunterricht am Beispiel der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar,”
    in <i>Vermitteln - verbinden - verstehen. 46. Jahrestagung des Fachverbandes Deutsch
    als Fremd- und Zweitsprache an der Technischen Universität Chemnitz </i>, F. Hinzmann,
    C. Storz, A. Hülsmann, U. Rosner, and B. Dupke, Eds. Göttingen: Universitätsverlag
    Göttingen, 2021, pp. 85–103.'
  mla: 'Büttner, Denise, and Heike Roll . “„Zunge: Sprache“ Literarische Mehrsprachigkeit
    im Deutschunterricht am Beispiel der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar.”
    <i>Vermitteln - verbinden - verstehen. 46. Jahrestagung des Fachverbandes Deutsch
    als Fremd- und Zweitsprache an der Technischen Universität Chemnitz </i>, edited
    by Friederike Hinzmann et al., Universitätsverlag Göttingen, 2021, pp. 85–103.'
  short: 'D. Büttner, H. Roll , in: F. Hinzmann, C. Storz, A. Hülsmann, U. Rosner,
    B. Dupke (Eds.), Vermitteln - verbinden - verstehen. 46. Jahrestagung des Fachverbandes
    Deutsch als Fremd- und Zweitsprache an der Technischen Universität Chemnitz ,
    Universitätsverlag Göttingen, Göttingen, 2021, pp. 85–103.'
date_created: 2024-03-25T10:11:41Z
date_updated: 2024-04-02T13:03:32Z
department:
- _id: '468'
editor:
- first_name: Friederike
  full_name: Hinzmann, Friederike
  last_name: Hinzmann
- first_name: 'Coretta '
  full_name: 'Storz, Coretta '
  last_name: Storz
- first_name: 'Annemarie '
  full_name: 'Hülsmann, Annemarie '
  last_name: Hülsmann
- first_name: 'Ulrike '
  full_name: 'Rosner, Ulrike '
  last_name: Rosner
- first_name: 'Benjamin '
  full_name: 'Dupke, Benjamin '
  last_name: Dupke
language:
- iso: ger
page: 85-103
place: Göttingen
publication: 'Vermitteln - verbinden - verstehen. 46. Jahrestagung des Fachverbandes
  Deutsch als Fremd- und Zweitsprache an der Technischen Universität Chemnitz '
publication_status: published
publisher: Universitätsverlag Göttingen
status: public
title: '„Zunge: Sprache“ Literarische Mehrsprachigkeit im Deutschunterricht am Beispiel
  der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar'
type: book_chapter
user_id: '80828'
year: '2021'
...
---
_id: '45967'
author:
- first_name: Tim
  full_name: Binz, Tim
  last_name: Binz
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Binz T, Kovács B. A convergent finite element algorithm for mean curvature
    flow in higher codimension. <i>arXiv</i>. Published online 2021.
  apa: Binz, T., &#38; Kovács, B. (2021). A convergent finite element algorithm for
    mean curvature flow in higher codimension. <i>ArXiv</i>.
  bibtex: '@article{Binz_Kovács_2021, title={A convergent finite element algorithm
    for mean curvature flow in higher codimension}, journal={arXiv}, author={Binz,
    Tim and Kovács, Balázs}, year={2021} }'
  chicago: Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for
    Mean Curvature Flow in Higher Codimension.” <i>ArXiv</i>, 2021.
  ieee: T. Binz and B. Kovács, “A convergent finite element algorithm for mean curvature
    flow in higher codimension,” <i>arXiv</i>, 2021.
  mla: Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Mean
    Curvature Flow in Higher Codimension.” <i>ArXiv</i>, 2021.
  short: T. Binz, B. Kovács, ArXiv (2021).
date_created: 2023-07-10T11:46:16Z
date_updated: 2024-04-03T09:16:19Z
department:
- _id: '841'
language:
- iso: eng
publication: arXiv
status: public
title: A convergent finite element algorithm for mean curvature flow in higher codimension
type: journal_article
user_id: '100441'
year: '2021'
...
---
_id: '45962'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>An algorithm
    is proposed for generalized mean curvature flow of closed two-dimensional surfaces,
    which include inverse mean curvature flow and powers of mean and inverse mean
    curvature flow. Error estimates are proved for semidiscretizations and full discretizations
    for the generalized flow. The algorithm proposed and studied here combines evolving
    surface finite elements, whose nodes determine the discrete surface, and linearly
    implicit backward difference formulae for time integration. The numerical method
    is based on a system coupling the surface evolution to nonlinear second-order
    parabolic evolution equations for the normal velocity and normal vector. A convergence
    proof is presented in the case of finite elements of polynomial degree at least
    2 and backward difference formulae of orders 2 to 5. The error analysis combines
    stability estimates and consistency estimates to yield optimal-order $H^1$-norm
    error bounds for the computed surface position, velocity, normal vector, normal
    velocity and therefore for the mean curvature. The stability analysis is performed
    in the matrix–vector formulation and is independent of geometric arguments, which
    only enter the consistency analysis. Numerical experiments are presented to illustrate
    the convergence results and also to report on monotone quantities, e.g. Hawking
    mass for inverse mean curvature flow, and complemented by experiments for nonconvex
    surfaces.</jats:p>"
author:
- first_name: Tim
  full_name: Binz, Tim
  last_name: Binz
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Binz T, Kovács B. A convergent finite element algorithm for generalized mean
    curvature flows of closed surfaces. <i>IMA Journal of Numerical Analysis</i>.
    2021;42(3):2545-2588. doi:<a href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>
  apa: Binz, T., &#38; Kovács, B. (2021). A convergent finite element algorithm for
    generalized mean curvature flows of closed surfaces. <i>IMA Journal of Numerical
    Analysis</i>, <i>42</i>(3), 2545–2588. <a href="https://doi.org/10.1093/imanum/drab043">https://doi.org/10.1093/imanum/drab043</a>
  bibtex: '@article{Binz_Kovács_2021, title={A convergent finite element algorithm
    for generalized mean curvature flows of closed surfaces}, volume={42}, DOI={<a
    href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>}, number={3},
    journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
    (OUP)}, author={Binz, Tim and Kovács, Balázs}, year={2021}, pages={2545–2588}
    }'
  chicago: 'Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for
    Generalized Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical
    Analysis</i> 42, no. 3 (2021): 2545–88. <a href="https://doi.org/10.1093/imanum/drab043">https://doi.org/10.1093/imanum/drab043</a>.'
  ieee: 'T. Binz and B. Kovács, “A convergent finite element algorithm for generalized
    mean curvature flows of closed surfaces,” <i>IMA Journal of Numerical Analysis</i>,
    vol. 42, no. 3, pp. 2545–2588, 2021, doi: <a href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>.'
  mla: Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized
    Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical Analysis</i>,
    vol. 42, no. 3, Oxford University Press (OUP), 2021, pp. 2545–88, doi:<a href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>.
  short: T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.
date_created: 2023-07-10T11:44:41Z
date_updated: 2024-04-03T09:18:40Z
department:
- _id: '841'
doi: 10.1093/imanum/drab043
intvolume: '        42'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 2545-2588
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: A convergent finite element algorithm for generalized mean curvature flows
  of closed surfaces
type: journal_article
user_id: '100441'
volume: 42
year: '2021'
...
---
_id: '45957'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>A proof of convergence is given for
    a bulk–surface finite element semidiscretisation of the Cahn–Hilliard equation
    with Cahn–Hilliard-type dynamic boundary conditions in a smooth domain. The semidiscretisation
    is studied in an abstract weak formulation as a second-order system. Optimal-order
    uniform-in-time error estimates are shown in the $L^2$- and $H^1$-norms. The error
    estimates are based on a consistency and stability analysis. The proof of stability
    is performed in an abstract framework, based on energy estimates exploiting the
    anti-symmetric structure of the second-order system. Numerical experiments illustrate
    the theoretical results.</jats:p>
author:
- first_name: Paula
  full_name: Harder, Paula
  last_name: Harder
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Harder P, Kovács B. Error estimates for the Cahn–Hilliard equation with dynamic
    boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2021;42(3):2589-2620.
    doi:<a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>
  apa: Harder, P., &#38; Kovács, B. (2021). Error estimates for the Cahn–Hilliard
    equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>,
    <i>42</i>(3), 2589–2620. <a href="https://doi.org/10.1093/imanum/drab045">https://doi.org/10.1093/imanum/drab045</a>
  bibtex: '@article{Harder_Kovács_2021, title={Error estimates for the Cahn–Hilliard
    equation with dynamic boundary conditions}, volume={42}, DOI={<a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>},
    number={3}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Harder, Paula and Kovács, Balázs}, year={2021}, pages={2589–2620}
    }'
  chicago: 'Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard
    Equation with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>
    42, no. 3 (2021): 2589–2620. <a href="https://doi.org/10.1093/imanum/drab045">https://doi.org/10.1093/imanum/drab045</a>.'
  ieee: 'P. Harder and B. Kovács, “Error estimates for the Cahn–Hilliard equation
    with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol.
    42, no. 3, pp. 2589–2620, 2021, doi: <a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>.'
  mla: Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation
    with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol.
    42, no. 3, Oxford University Press (OUP), 2021, pp. 2589–620, doi:<a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>.
  short: P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.
date_created: 2023-07-10T11:43:28Z
date_updated: 2024-04-03T09:20:15Z
department:
- _id: '841'
doi: 10.1093/imanum/drab045
intvolume: '        42'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 2589-2620
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions
type: journal_article
user_id: '100441'
volume: 42
year: '2021'
...
---
_id: '45961'
author:
- first_name: Jörg
  full_name: Nick, Jörg
  last_name: Nick
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: 'Nick J, Kovács B, Lubich C. Correction to: Stable and convergent fully discrete
    interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>.
    2021;147(4):997-1000. doi:<a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>'
  apa: 'Nick, J., Kovács, B., &#38; Lubich, C. (2021). Correction to: Stable and convergent
    fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische
    Mathematik</i>, <i>147</i>(4), 997–1000. <a href="https://doi.org/10.1007/s00211-021-01196-6">https://doi.org/10.1007/s00211-021-01196-6</a>'
  bibtex: '@article{Nick_Kovács_Lubich_2021, title={Correction to: Stable and convergent
    fully discrete interior–exterior coupling of Maxwell’s equations}, volume={147},
    DOI={<a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>},
    number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2021},
    pages={997–1000} }'
  chicago: 'Nick, Jörg, Balázs Kovács, and Christian Lubich. “Correction to: Stable
    and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.”
    <i>Numerische Mathematik</i> 147, no. 4 (2021): 997–1000. <a href="https://doi.org/10.1007/s00211-021-01196-6">https://doi.org/10.1007/s00211-021-01196-6</a>.'
  ieee: 'J. Nick, B. Kovács, and C. Lubich, “Correction to: Stable and convergent
    fully discrete interior–exterior coupling of Maxwell’s equations,” <i>Numerische
    Mathematik</i>, vol. 147, no. 4, pp. 997–1000, 2021, doi: <a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>.'
  mla: 'Nick, Jörg, et al. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior
    Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i>, vol. 147, no.
    4, Springer Science and Business Media LLC, 2021, pp. 997–1000, doi:<a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>.'
  short: J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.
date_created: 2023-07-10T11:44:25Z
date_updated: 2024-04-03T09:18:52Z
department:
- _id: '841'
doi: 10.1007/s00211-021-01196-6
intvolume: '       147'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 997-1000
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Correction to: Stable and convergent fully discrete interior–exterior coupling
  of Maxwell’s equations'
type: journal_article
user_id: '100441'
volume: 147
year: '2021'
...
---
_id: '45959'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  last_name: Kovács
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for
    Willmore flow of closed surfaces. <i>Numerische Mathematik</i>. 2021;149(3):595-643.
    doi:<a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>
  apa: Kovács, B., Li, B., &#38; Lubich, C. (2021). A convergent evolving finite element
    algorithm for Willmore flow of closed surfaces. <i>Numerische Mathematik</i>,
    <i>149</i>(3), 595–643. <a href="https://doi.org/10.1007/s00211-021-01238-z">https://doi.org/10.1007/s00211-021-01238-z</a>
  bibtex: '@article{Kovács_Li_Lubich_2021, title={A convergent evolving finite element
    algorithm for Willmore flow of closed surfaces}, volume={149}, DOI={<a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>},
    number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2021},
    pages={595–643} }'
  chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving
    Finite Element Algorithm for Willmore Flow of Closed Surfaces.” <i>Numerische
    Mathematik</i> 149, no. 3 (2021): 595–643. <a href="https://doi.org/10.1007/s00211-021-01238-z">https://doi.org/10.1007/s00211-021-01238-z</a>.'
  ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm
    for Willmore flow of closed surfaces,” <i>Numerische Mathematik</i>, vol. 149,
    no. 3, pp. 595–643, 2021, doi: <a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>.'
  mla: Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for
    Willmore Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 149, no.
    3, Springer Science and Business Media LLC, 2021, pp. 595–643, doi:<a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>.
  short: B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.
date_created: 2023-07-10T11:43:59Z
date_updated: 2024-04-03T09:19:20Z
department:
- _id: '841'
doi: 10.1007/s00211-021-01238-z
intvolume: '       149'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 595-643
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A convergent evolving finite element algorithm for Willmore flow of closed
  surfaces
type: journal_article
user_id: '100441'
volume: 149
year: '2021'
...
---
_id: '34629'
article_number: '113061'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian H.
  full_name: Sloan, Ian H.
  last_name: Sloan
- first_name: Robert S.
  full_name: Womersley, Robert S.
  last_name: Womersley
citation:
  ama: Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation
    on the sphere with noisy scattered data. <i>Journal of Computational and Applied
    Mathematics</i>. 2021;382. doi:<a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>
  apa: Hesse, K., Sloan, I. H., &#38; Womersley, R. S. (2021). Local RBF-based penalized
    least-squares approximation on the sphere with noisy scattered data. <i>Journal
    of Computational and Applied Mathematics</i>, <i>382</i>, Article 113061. <a href="https://doi.org/10.1016/j.cam.2020.113061">https://doi.org/10.1016/j.cam.2020.113061</a>
  bibtex: '@article{Hesse_Sloan_Womersley_2021, title={Local RBF-based penalized least-squares
    approximation on the sphere with noisy scattered data}, volume={382}, DOI={<a
    href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>},
    number={113061}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
    BV}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}, year={2021}
    }'
  chicago: Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Local RBF-Based
    Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.”
    <i>Journal of Computational and Applied Mathematics</i> 382 (2021). <a href="https://doi.org/10.1016/j.cam.2020.113061">https://doi.org/10.1016/j.cam.2020.113061</a>.
  ieee: 'K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares
    approximation on the sphere with noisy scattered data,” <i>Journal of Computational
    and Applied Mathematics</i>, vol. 382, Art. no. 113061, 2021, doi: <a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>.'
  mla: Hesse, Kerstin, et al. “Local RBF-Based Penalized Least-Squares Approximation
    on the Sphere with Noisy Scattered Data.” <i>Journal of Computational and Applied
    Mathematics</i>, vol. 382, 113061, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>.
  short: K. Hesse, I.H. Sloan, R.S. Womersley, Journal of Computational and Applied
    Mathematics 382 (2021).
date_created: 2022-12-20T17:26:44Z
date_updated: 2024-04-03T11:04:23Z
department:
- _id: '10'
doi: 10.1016/j.cam.2020.113061
intvolume: '       382'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: Local RBF-based penalized least-squares approximation on the sphere with noisy
  scattered data
type: journal_article
user_id: '49063'
volume: 382
year: '2021'
...
---
_id: '53176'
author:
- first_name: Ina
  full_name: Krause, Ina
  id: '105654'
  last_name: Krause
  orcid: 0000-0003-0170-7713
- first_name: Christian
  full_name: Gerhards, Christian
  last_name: Gerhards
citation:
  ama: 'Krause I, Gerhards C. Betriebliche Weiterbildungskulturen in Zeiten der Digitalisierung
    – Eine Analyse mit Daten des BIBB-Qualifizierungspanels. . In: Schemmann M, ed.
    <i>Internationales Jahrbuch Für Erwachsenenbildung 2022: Optimierung in Der Weiterbildung</i>.
    ; 2021.'
  apa: 'Krause, I., &#38; Gerhards, C. (2021). Betriebliche Weiterbildungskulturen
    in Zeiten der Digitalisierung – Eine Analyse mit Daten des BIBB-Qualifizierungspanels.
    . In M. Schemmann (Ed.), <i>Internationales Jahrbuch für Erwachsenenbildung 2022:
    Optimierung in der Weiterbildung</i>.'
  bibtex: '@inbook{Krause_Gerhards_2021, title={Betriebliche Weiterbildungskulturen
    in Zeiten der Digitalisierung – Eine Analyse mit Daten des BIBB-Qualifizierungspanels.
    }, booktitle={Internationales Jahrbuch für Erwachsenenbildung 2022: Optimierung
    in der Weiterbildung}, author={Krause, Ina and Gerhards, Christian}, editor={Schemmann,
    Michael }, year={2021} }'
  chicago: 'Krause, Ina, and Christian Gerhards. “Betriebliche Weiterbildungskulturen
    in Zeiten Der Digitalisierung – Eine Analyse Mit Daten Des BIBB-Qualifizierungspanels.
    .” In <i>Internationales Jahrbuch Für Erwachsenenbildung 2022: Optimierung in
    Der Weiterbildung</i>, edited by Michael  Schemmann, 2021.'
  ieee: 'I. Krause and C. Gerhards, “Betriebliche Weiterbildungskulturen in Zeiten
    der Digitalisierung – Eine Analyse mit Daten des BIBB-Qualifizierungspanels. ,”
    in <i>Internationales Jahrbuch für Erwachsenenbildung 2022: Optimierung in der
    Weiterbildung</i>, M. Schemmann, Ed. 2021.'
  mla: 'Krause, Ina, and Christian Gerhards. “Betriebliche Weiterbildungskulturen
    in Zeiten Der Digitalisierung – Eine Analyse Mit Daten Des BIBB-Qualifizierungspanels.
    .” <i>Internationales Jahrbuch Für Erwachsenenbildung 2022: Optimierung in Der
    Weiterbildung</i>, edited by Michael  Schemmann, 2021.'
  short: 'I. Krause, C. Gerhards, in: M. Schemmann (Ed.), Internationales Jahrbuch
    Für Erwachsenenbildung 2022: Optimierung in Der Weiterbildung, 2021.'
date_created: 2024-04-03T11:38:54Z
date_updated: 2024-04-03T11:39:37Z
editor:
- first_name: 'Michael '
  full_name: 'Schemmann, Michael '
  last_name: Schemmann
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.wbv.de/shop/openaccess-download/6004675w006
oa: '1'
publication: 'Internationales Jahrbuch für Erwachsenenbildung 2022: Optimierung in
  der Weiterbildung'
status: public
title: 'Betriebliche Weiterbildungskulturen in Zeiten der Digitalisierung – Eine Analyse
  mit Daten des BIBB-Qualifizierungspanels. '
type: book_chapter
user_id: '105654'
year: '2021'
...
---
_id: '53192'
abstract:
- lang: eng
  text: <jats:p>The principal aim of this article is to attach and study <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline4.png"
    /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-adic
    <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline5.png" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-functions
    to cohomological cuspidal automorphic representations <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline6.png"
    /><jats:tex-math>$\Pi$</jats:tex-math></jats:alternatives></jats:inline-formula>
    of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline7.png" /><jats:tex-math>$\operatorname
    {GL}_{2n}$</jats:tex-math></jats:alternatives></jats:inline-formula> over a totally
    real field <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline8.png" /><jats:tex-math>$F$</jats:tex-math></jats:alternatives></jats:inline-formula>
    admitting a Shalika model. We use a modular symbol approach, along the global
    lines of the work of Ash and Ginzburg, but our results are more definitive because
    we draw heavily upon the methods used in the recent and separate works of all
    three authors. By construction, our <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline9.png"
    /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-adic
    <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline10.png" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-functions
    are distributions on the Galois group of the maximal abelian extension of <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline11.png"
    /><jats:tex-math>$F$</jats:tex-math></jats:alternatives></jats:inline-formula>
    unramified outside <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline12.png"
    /><jats:tex-math>$p\infty$</jats:tex-math></jats:alternatives></jats:inline-formula>.
    Moreover, we work under a weaker Panchishkine-type condition on <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline13.png"
    /><jats:tex-math>$\Pi _p$</jats:tex-math></jats:alternatives></jats:inline-formula>
    rather than the full ordinariness condition. Finally, we prove the so-called Manin
    relations between the <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline14.png"
    /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-adic
    <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline15.png" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-functions
    at <jats:italic>all</jats:italic> critical points. This has the striking consequence
    that, given a unitary <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline16.png"
    /><jats:tex-math>$\Pi$</jats:tex-math></jats:alternatives></jats:inline-formula>
    whose standard <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline17.png" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-function
    admits at least two critical points, and given a prime <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline18.png"
    /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>
    such that <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline19.png" /><jats:tex-math>$\Pi
    _p$</jats:tex-math></jats:alternatives></jats:inline-formula> is ordinary, the
    central critical value <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline20.png"
    /><jats:tex-math>$L(\frac {1}{2}, \Pi \otimes \chi )$</jats:tex-math></jats:alternatives></jats:inline-formula>
    is non-zero for all except finitely many Dirichlet characters <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007551_inline21.png"
    /><jats:tex-math>$\chi$</jats:tex-math></jats:alternatives></jats:inline-formula>
    of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="png" xlink:href="S0010437X20007551_inline22.png" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-power
    conductor.</jats:p>
article_type: original
author:
- first_name: Mladen
  full_name: Dimitrov, Mladen
  last_name: Dimitrov
- first_name: Fabian
  full_name: Januszewski, Fabian
  id: '81636'
  last_name: Januszewski
- first_name: A.
  full_name: Raghuram, A.
  last_name: Raghuram
citation:
  ama: 'Dimitrov M, Januszewski F, Raghuram A. L-functions of GL(2n): p-adic properties
    and non-vanishing of twists. <i>Compositio Mathematica</i>. 2021;156(12):2437-2468.
    doi:<a href="https://doi.org/10.1112/s0010437x20007551">10.1112/s0010437x20007551</a>'
  apa: 'Dimitrov, M., Januszewski, F., &#38; Raghuram, A. (2021). L-functions of GL(2n):
    p-adic properties and non-vanishing of twists. <i>Compositio Mathematica</i>,
    <i>156</i>(12), 2437–2468. <a href="https://doi.org/10.1112/s0010437x20007551">https://doi.org/10.1112/s0010437x20007551</a>'
  bibtex: '@article{Dimitrov_Januszewski_Raghuram_2021, title={L-functions of GL(2n):
    p-adic properties and non-vanishing of twists}, volume={156}, DOI={<a href="https://doi.org/10.1112/s0010437x20007551">10.1112/s0010437x20007551</a>},
    number={12}, journal={Compositio Mathematica}, publisher={Wiley}, author={Dimitrov,
    Mladen and Januszewski, Fabian and Raghuram, A.}, year={2021}, pages={2437–2468}
    }'
  chicago: 'Dimitrov, Mladen, Fabian Januszewski, and A. Raghuram. “L-Functions of
    GL(2n): P-Adic Properties and Non-Vanishing of Twists.” <i>Compositio Mathematica</i>
    156, no. 12 (2021): 2437–68. <a href="https://doi.org/10.1112/s0010437x20007551">https://doi.org/10.1112/s0010437x20007551</a>.'
  ieee: 'M. Dimitrov, F. Januszewski, and A. Raghuram, “L-functions of GL(2n): p-adic
    properties and non-vanishing of twists,” <i>Compositio Mathematica</i>, vol. 156,
    no. 12, pp. 2437–2468, 2021, doi: <a href="https://doi.org/10.1112/s0010437x20007551">10.1112/s0010437x20007551</a>.'
  mla: 'Dimitrov, Mladen, et al. “L-Functions of GL(2n): P-Adic Properties and Non-Vanishing
    of Twists.” <i>Compositio Mathematica</i>, vol. 156, no. 12, Wiley, 2021, pp.
    2437–68, doi:<a href="https://doi.org/10.1112/s0010437x20007551">10.1112/s0010437x20007551</a>.'
  short: M. Dimitrov, F. Januszewski, A. Raghuram, Compositio Mathematica 156 (2021)
    2437–2468.
date_created: 2024-04-03T16:58:55Z
date_updated: 2024-04-03T17:13:25Z
doi: 10.1112/s0010437x20007551
intvolume: '       156'
issue: '12'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 2437-2468
publication: Compositio Mathematica
publication_identifier:
  issn:
  - 0010-437X
  - 1570-5846
publication_status: published
publisher: Wiley
status: public
title: 'L-functions of GL(2n): p-adic properties and non-vanishing of twists'
type: journal_article
user_id: '81636'
volume: 156
year: '2021'
...
---
_id: '53199'
article_type: review
author:
- first_name: Fabian
  full_name: Januszewski, Fabian
  id: '81636'
  last_name: Januszewski
  orcid: 0000-0002-3184-237X
citation:
  ama: Januszewski F. Von ganzen Zahlen zu L-Funktionen. <i>Mitteilungen der Deutschen
    Mathematiker-Vereinigung</i>. 2021;29(2):68-72. doi:<a href="https://doi.org/10.1515/dmvm-2021-0027">10.1515/dmvm-2021-0027</a>
  apa: Januszewski, F. (2021). Von ganzen Zahlen zu L-Funktionen. <i>Mitteilungen
    der Deutschen Mathematiker-Vereinigung</i>, <i>29</i>(2), 68–72. <a href="https://doi.org/10.1515/dmvm-2021-0027">https://doi.org/10.1515/dmvm-2021-0027</a>
  bibtex: '@article{Januszewski_2021, title={Von ganzen Zahlen zu L-Funktionen}, volume={29},
    DOI={<a href="https://doi.org/10.1515/dmvm-2021-0027">10.1515/dmvm-2021-0027</a>},
    number={2}, journal={Mitteilungen der Deutschen Mathematiker-Vereinigung}, publisher={Walter
    de Gruyter GmbH}, author={Januszewski, Fabian}, year={2021}, pages={68–72} }'
  chicago: 'Januszewski, Fabian. “Von ganzen Zahlen zu L-Funktionen.” <i>Mitteilungen
    der Deutschen Mathematiker-Vereinigung</i> 29, no. 2 (2021): 68–72. <a href="https://doi.org/10.1515/dmvm-2021-0027">https://doi.org/10.1515/dmvm-2021-0027</a>.'
  ieee: 'F. Januszewski, “Von ganzen Zahlen zu L-Funktionen,” <i>Mitteilungen der
    Deutschen Mathematiker-Vereinigung</i>, vol. 29, no. 2, pp. 68–72, 2021, doi:
    <a href="https://doi.org/10.1515/dmvm-2021-0027">10.1515/dmvm-2021-0027</a>.'
  mla: Januszewski, Fabian. “Von ganzen Zahlen zu L-Funktionen.” <i>Mitteilungen der
    Deutschen Mathematiker-Vereinigung</i>, vol. 29, no. 2, Walter de Gruyter GmbH,
    2021, pp. 68–72, doi:<a href="https://doi.org/10.1515/dmvm-2021-0027">10.1515/dmvm-2021-0027</a>.
  short: F. Januszewski, Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (2021)
    68–72.
date_created: 2024-04-03T17:21:35Z
date_updated: 2024-04-03T17:22:10Z
doi: 10.1515/dmvm-2021-0027
intvolume: '        29'
issue: '2'
keyword:
- Earth-Surface Processes
language:
- iso: ger
page: 68-72
publication: Mitteilungen der Deutschen Mathematiker-Vereinigung
publication_identifier:
  issn:
  - 0942-5977
  - 0947-4471
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Von ganzen Zahlen zu L-Funktionen
type: journal_article
user_id: '81636'
volume: 29
year: '2021'
...
---
_id: '53290'
abstract:
- lang: eng
  text: In this report, we consider a semiconductor nanostructure in an optical cavity
    that is coupled to quantum light. We describe the semiconductor nanostructure
    with a parabolic band structure in a 1D k-space, while we assume a single-mode
    quantum field. The 1D<br> system is chosen for simplicity in both the analytical
    and the numerical treatment and paves the way for the description of 2D structures
    in the future. Therefore, instead of using parameters which are realistic for
    1D systems, we rather use parameters which qualitatively correspond to 2D GaAs
    structures.
author:
- first_name: H.
  full_name: Rose, H.
  last_name: Rose
- first_name: A.N.
  full_name: Vasil'ev, A.N.
  last_name: Vasil'ev
- first_name: O.V.
  full_name: Tikhonova, O.V.
  last_name: Tikhonova
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
citation:
  ama: Rose H, Vasil’ev AN, Tikhonova OV, Meier T, Sharapova PR. <i>Excitation of
    an Electronic Band Structure by a Single-Photon Fock State</i>. LibreCat University;
    2021. doi:<a href="https://doi.org/10.5281/ZENODO.5774985">10.5281/ZENODO.5774985</a>
  apa: Rose, H., Vasil’ev, A. N., Tikhonova, O. V., Meier, T., &#38; Sharapova, P.
    R. (2021). <i>Excitation of an electronic band structure by a single-photon Fock
    state</i>. LibreCat University. <a href="https://doi.org/10.5281/ZENODO.5774985">https://doi.org/10.5281/ZENODO.5774985</a>
  bibtex: '@book{Rose_Vasil’ev_Tikhonova_Meier_Sharapova_2021, title={Excitation of
    an electronic band structure by a single-photon Fock state}, DOI={<a href="https://doi.org/10.5281/ZENODO.5774985">10.5281/ZENODO.5774985</a>},
    publisher={LibreCat University}, author={Rose, H. and Vasil’ev, A.N. and Tikhonova,
    O.V. and Meier, Torsten and Sharapova, Polina R.}, year={2021} }'
  chicago: Rose, H., A.N. Vasil’ev, O.V. Tikhonova, Torsten Meier, and Polina R. Sharapova.
    <i>Excitation of an Electronic Band Structure by a Single-Photon Fock State</i>.
    LibreCat University, 2021. <a href="https://doi.org/10.5281/ZENODO.5774985">https://doi.org/10.5281/ZENODO.5774985</a>.
  ieee: H. Rose, A. N. Vasil’ev, O. V. Tikhonova, T. Meier, and P. R. Sharapova, <i>Excitation
    of an electronic band structure by a single-photon Fock state</i>. LibreCat University,
    2021.
  mla: Rose, H., et al. <i>Excitation of an Electronic Band Structure by a Single-Photon
    Fock State</i>. LibreCat University, 2021, doi:<a href="https://doi.org/10.5281/ZENODO.5774985">10.5281/ZENODO.5774985</a>.
  short: H. Rose, A.N. Vasil’ev, O.V. Tikhonova, T. Meier, P.R. Sharapova, Excitation
    of an Electronic Band Structure by a Single-Photon Fock State, LibreCat University,
    2021.
date_created: 2024-04-05T09:27:22Z
date_updated: 2024-04-05T09:58:46Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '230'
doi: 10.5281/ZENODO.5774985
language:
- iso: eng
publisher: LibreCat University
status: public
title: Excitation of an electronic band structure by a single-photon Fock state
type: report
user_id: '16199'
year: '2021'
...
---
_id: '53268'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Peter J.
  full_name: Schreier, Peter J.
  last_name: Schreier
citation:
  ama: Soleymani M, Santamaria I, Schreier PJ. Distributed Algorithms for Spectral
    and Energy-Efficiency Maximization of <i>K</i>-User Interference Channels. <i>IEEE
    Access</i>. 2021;9:96948-96963. doi:<a href="https://doi.org/10.1109/access.2021.3094976">10.1109/access.2021.3094976</a>
  apa: Soleymani, M., Santamaria, I., &#38; Schreier, P. J. (2021). Distributed Algorithms
    for Spectral and Energy-Efficiency Maximization of <i>K</i>-User Interference
    Channels. <i>IEEE Access</i>, <i>9</i>, 96948–96963. <a href="https://doi.org/10.1109/access.2021.3094976">https://doi.org/10.1109/access.2021.3094976</a>
  bibtex: '@article{Soleymani_Santamaria_Schreier_2021, title={Distributed Algorithms
    for Spectral and Energy-Efficiency Maximization of <i>K</i>-User Interference
    Channels}, volume={9}, DOI={<a href="https://doi.org/10.1109/access.2021.3094976">10.1109/access.2021.3094976</a>},
    journal={IEEE Access}, publisher={Institute of Electrical and Electronics Engineers
    (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Schreier, Peter
    J.}, year={2021}, pages={96948–96963} }'
  chicago: 'Soleymani, Mohammad, Ignacio Santamaria, and Peter J. Schreier. “Distributed
    Algorithms for Spectral and Energy-Efficiency Maximization of <i>K</i>-User Interference
    Channels.” <i>IEEE Access</i> 9 (2021): 96948–63. <a href="https://doi.org/10.1109/access.2021.3094976">https://doi.org/10.1109/access.2021.3094976</a>.'
  ieee: 'M. Soleymani, I. Santamaria, and P. J. Schreier, “Distributed Algorithms
    for Spectral and Energy-Efficiency Maximization of <i>K</i>-User Interference
    Channels,” <i>IEEE Access</i>, vol. 9, pp. 96948–96963, 2021, doi: <a href="https://doi.org/10.1109/access.2021.3094976">10.1109/access.2021.3094976</a>.'
  mla: Soleymani, Mohammad, et al. “Distributed Algorithms for Spectral and Energy-Efficiency
    Maximization of <i>K</i>-User Interference Channels.” <i>IEEE Access</i>, vol.
    9, Institute of Electrical and Electronics Engineers (IEEE), 2021, pp. 96948–63,
    doi:<a href="https://doi.org/10.1109/access.2021.3094976">10.1109/access.2021.3094976</a>.
  short: M. Soleymani, I. Santamaria, P.J. Schreier, IEEE Access 9 (2021) 96948–96963.
date_created: 2024-04-05T09:04:50Z
date_updated: 2024-04-05T13:20:18Z
department:
- _id: '263'
doi: 10.1109/access.2021.3094976
intvolume: '         9'
keyword:
- General Engineering
- General Materials Science
- General Computer Science
language:
- iso: eng
page: 96948-96963
publication: IEEE Access
publication_identifier:
  issn:
  - 2169-3536
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Distributed Algorithms for Spectral and Energy-Efficiency Maximization of <i>K</i>-User
  Interference Channels
type: journal_article
user_id: '67076'
volume: 9
year: '2021'
...
---
_id: '17514'
abstract:
- lang: eng
  text: This paper introduces an index that captures the complexity of countries’
    corporate income tax systems faced by multinational corporations. It is based
    on surveys of highly experienced tax consultants of the largest international
    tax services networks. The index, called the Tax Complexity Index (TCI), is composed
    of a tax code subindex covering tax regulations and a tax framework subindex covering
    tax processes and features. For a sample of 100 countries for the year 2016, we
    find that the level of tax complexity varies considerably across countries, while
    tax code and framework complexity also vary within countries. From a global perspective,
    tax complexity is strongly driven by the complexity of both transfer pricing regulations
    in the tax code and tax audits in the tax framework. When analyzing the associations
    with other country characteristics, we identify different correlation patterns.
    For example, tax framework complexity is negatively associated with countries’
    governance, suggesting that strongly governed countries tend to have less complex
    tax frameworks, while tax code complexity is positively associated with the statutory
    tax rate, indicating that high-tax countries tend to have more complex tax codes.
    However, none of the observed associa-tions are very strong. We conclude that
    tax complexity represents a distinct country charac-teristic and propose the use
    of our TCI and its subindices in future research.
author:
- first_name: Thomas
  full_name: Hoppe, Thomas
  id: '22671'
  last_name: Hoppe
- first_name: Debora
  full_name: Schanz, Debora
  last_name: Schanz
- first_name: Susann
  full_name: Sturm, Susann
  last_name: Sturm
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: Hoppe T, Schanz D, Sturm S, Sureth-Sloane C. <i>The Tax Complexity Index –
    A Survey-Based Country Measure of Tax Code and Framework Complexity</i>.; 2021.
    doi:<a href="https://doi.org/10.2139/ssrn.3469663">10.2139/ssrn.3469663</a>
  apa: Hoppe, T., Schanz, D., Sturm, S., &#38; Sureth-Sloane, C. (2021). <i>The Tax
    Complexity Index – A Survey-Based Country Measure of Tax Code and Framework Complexity</i>.
    <a href="https://doi.org/10.2139/ssrn.3469663">https://doi.org/10.2139/ssrn.3469663</a>
  bibtex: '@book{Hoppe_Schanz_Sturm_Sureth-Sloane_2021, series={TRR 266 Accounting
    for Transparency Working Paper Series No. 5}, title={The Tax Complexity Index
    – A Survey-Based Country Measure of Tax Code and Framework Complexity}, DOI={<a
    href="https://doi.org/10.2139/ssrn.3469663">10.2139/ssrn.3469663</a>}, author={Hoppe,
    Thomas and Schanz, Debora and Sturm, Susann and Sureth-Sloane, Caren}, year={2021},
    collection={TRR 266 Accounting for Transparency Working Paper Series No. 5} }'
  chicago: Hoppe, Thomas, Debora Schanz, Susann Sturm, and Caren Sureth-Sloane. <i>The
    Tax Complexity Index – A Survey-Based Country Measure of Tax Code and Framework
    Complexity</i>. TRR 266 Accounting for Transparency Working Paper Series No. 5,
    2021. <a href="https://doi.org/10.2139/ssrn.3469663">https://doi.org/10.2139/ssrn.3469663</a>.
  ieee: T. Hoppe, D. Schanz, S. Sturm, and C. Sureth-Sloane, <i>The Tax Complexity
    Index – A Survey-Based Country Measure of Tax Code and Framework Complexity</i>.
    2021.
  mla: Hoppe, Thomas, et al. <i>The Tax Complexity Index – A Survey-Based Country
    Measure of Tax Code and Framework Complexity</i>. 2021, doi:<a href="https://doi.org/10.2139/ssrn.3469663">10.2139/ssrn.3469663</a>.
  short: T. Hoppe, D. Schanz, S. Sturm, C. Sureth-Sloane, The Tax Complexity Index
    – A Survey-Based Country Measure of Tax Code and Framework Complexity, 2021.
date_created: 2020-07-31T10:58:34Z
date_updated: 2024-04-08T11:28:56Z
department:
- _id: '635'
doi: 10.2139/ssrn.3469663
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3469663
oa: '1'
series_title: TRR 266 Accounting for Transparency Working Paper Series No. 5
status: public
title: The Tax Complexity Index – A Survey-Based Country Measure of Tax Code and Framework
  Complexity
type: working_paper
user_id: '530'
year: '2021'
...
---
_id: '24676'
abstract:
- lang: eng
  text: 'This study investigates the effect of mandatory public Country-by-Country
    Reporting (CbCR) for European banks on their presence in tax and regulatory havens.
    We find that the number of subsidiaries of European banks in tax havens declines
    significantly after the introduction of mandatory public CbCR in contrast to insurance
    firms that need not disclose. We document that this decline is mainly driven by
    a reduction of subsidiaries in small countries with little economic substance
    (“dot havens”) and in tax havens that are regulatory havens at the same time,
    i.e., with high financial secrecy. Further, we find that high exposure to reputational
    risk is a major amplifier of reorganizational activities. Our results explain
    prior mixed evidence and document that CbCR effectively curbs tax haven presence
    only under specific circumstances, i.e., in countries offering both tax shelter
    and financial secrecy, and more strongly for banks with high reputational risk.
    These findings suggest that increased tax disclosure on banks does not effectively
    attenuate tax haven presence per se, but only for a subset of havens and banks.
    Policymakers need to be aware of these limitations, especially in light of the
    current decision of extending public CbCR to all large multinationals. '
author:
- first_name: Eva
  full_name: Eberhartinger, Eva
  last_name: Eberhartinger
- first_name: Raffael
  full_name: Speitmann, Raffael
  last_name: Speitmann
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: Eberhartinger E, Speitmann R, Sureth-Sloane C. <i>Banks’ Tax Disclosure, Financial
    Secrecy, and Tax Haven Heterogeneitys</i>.; 2021. doi:<a href="https://doi.org/10.2139/ssrn.3523909">10.2139/ssrn.3523909</a>
  apa: Eberhartinger, E., Speitmann, R., &#38; Sureth-Sloane, C. (2021). <i>Banks’
    tax disclosure, financial secrecy, and tax haven heterogeneitys</i>. <a href="https://doi.org/10.2139/ssrn.3523909">https://doi.org/10.2139/ssrn.3523909</a>
  bibtex: '@book{Eberhartinger_Speitmann_Sureth-Sloane_2021, series={WU International
    Taxation Research Paper Series No. #2020-01 }, title={Banks’ tax disclosure, financial
    secrecy, and tax haven heterogeneitys}, DOI={<a href="https://doi.org/10.2139/ssrn.3523909">10.2139/ssrn.3523909</a>},
    author={Eberhartinger, Eva and Speitmann, Raffael and Sureth-Sloane, Caren}, year={2021},
    collection={WU International Taxation Research Paper Series No. #2020-01 } }'
  chicago: 'Eberhartinger, Eva, Raffael Speitmann, and Caren Sureth-Sloane. <i>Banks’
    Tax Disclosure, Financial Secrecy, and Tax Haven Heterogeneitys</i>. WU International
    Taxation Research Paper Series No. #2020-01 , 2021. <a href="https://doi.org/10.2139/ssrn.3523909">https://doi.org/10.2139/ssrn.3523909</a>.'
  ieee: E. Eberhartinger, R. Speitmann, and C. Sureth-Sloane, <i>Banks’ tax disclosure,
    financial secrecy, and tax haven heterogeneitys</i>. 2021.
  mla: Eberhartinger, Eva, et al. <i>Banks’ Tax Disclosure, Financial Secrecy, and
    Tax Haven Heterogeneitys</i>. 2021, doi:<a href="https://doi.org/10.2139/ssrn.3523909">10.2139/ssrn.3523909</a>.
  short: E. Eberhartinger, R. Speitmann, C. Sureth-Sloane, Banks’ Tax Disclosure,
    Financial Secrecy, and Tax Haven Heterogeneitys, 2021.
date_created: 2021-09-17T13:37:32Z
date_updated: 2024-04-08T11:31:02Z
doi: 10.2139/ssrn.3523909
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ssrn.com/abstract=3523909
oa: '1'
publication_status: published
series_title: 'WU International Taxation Research Paper Series No. #2020-01 '
status: public
title: Banks’ tax disclosure, financial secrecy, and tax haven heterogeneitys
type: working_paper
user_id: '530'
year: '2021'
...
---
_id: '24674'
author:
- first_name: Markus
  full_name: Diller, Markus
  last_name: Diller
- first_name: Johannes
  full_name: Lorenz, Johannes
  last_name: Lorenz
- first_name: Georg Thomas
  full_name: Schneider, Georg Thomas
  last_name: Schneider
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: Diller M, Lorenz J, Schneider GT, Sureth-Sloane C. <i>Is Transfer Pricing Harmonization
    the Panacea? Reporting Transparency, Standards Consistency, and Tax Avoidance</i>.;
    2021. doi:<a href="https://doi.org/10.2139/ssrn.3895611">10.2139/ssrn.3895611</a>
  apa: Diller, M., Lorenz, J., Schneider, G. T., &#38; Sureth-Sloane, C. (2021). <i>Is
    Transfer Pricing Harmonization the Panacea? Reporting Transparency, Standards
    Consistency, and Tax Avoidance</i>. <a href="https://doi.org/10.2139/ssrn.3895611">https://doi.org/10.2139/ssrn.3895611</a>
  bibtex: '@book{Diller_Lorenz_Schneider_Sureth-Sloane_2021, title={Is Transfer Pricing
    Harmonization the Panacea? Reporting Transparency, Standards Consistency, and
    Tax Avoidance}, DOI={<a href="https://doi.org/10.2139/ssrn.3895611">10.2139/ssrn.3895611</a>},
    author={Diller, Markus and Lorenz, Johannes and Schneider, Georg Thomas and Sureth-Sloane,
    Caren}, year={2021} }'
  chicago: Diller, Markus, Johannes Lorenz, Georg Thomas Schneider, and Caren Sureth-Sloane.
    <i>Is Transfer Pricing Harmonization the Panacea? Reporting Transparency, Standards
    Consistency, and Tax Avoidance</i>, 2021. <a href="https://doi.org/10.2139/ssrn.3895611">https://doi.org/10.2139/ssrn.3895611</a>.
  ieee: M. Diller, J. Lorenz, G. T. Schneider, and C. Sureth-Sloane, <i>Is Transfer
    Pricing Harmonization the Panacea? Reporting Transparency, Standards Consistency,
    and Tax Avoidance</i>. 2021.
  mla: Diller, Markus, et al. <i>Is Transfer Pricing Harmonization the Panacea? Reporting
    Transparency, Standards Consistency, and Tax Avoidance</i>. 2021, doi:<a href="https://doi.org/10.2139/ssrn.3895611">10.2139/ssrn.3895611</a>.
  short: M. Diller, J. Lorenz, G.T. Schneider, C. Sureth-Sloane, Is Transfer Pricing
    Harmonization the Panacea? Reporting Transparency, Standards Consistency, and
    Tax Avoidance, 2021.
date_created: 2021-09-17T13:34:03Z
date_updated: 2024-04-08T11:34:37Z
doi: 10.2139/ssrn.3895611
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: 'http://dx.doi.org/10.2139/ssrn.3895611 '
oa: '1'
publication_identifier:
  issn:
  - 1556-5068
publication_status: published
status: public
title: Is Transfer Pricing Harmonization the Panacea? Reporting Transparency, Standards
  Consistency, and Tax Avoidance
type: working_paper
user_id: '530'
year: '2021'
...
---
_id: '24661'
author:
- first_name: Johannes
  full_name: Lorenz, Johannes
  last_name: Lorenz
- first_name: Markus
  full_name: Diller, Markus
  last_name: Diller
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: Lorenz J, Diller M, Sureth-Sloane C. <i>The Epidemiology of Tax Avoidance Narratives</i>.;
    2021. doi:<a href="https://doi.org/10.2139/ssrn.2992732">10.2139/ssrn.2992732</a>
  apa: Lorenz, J., Diller, M., &#38; Sureth-Sloane, C. (2021). <i>The Epidemiology
    of Tax Avoidance Narratives</i>. <a href="https://doi.org/10.2139/ssrn.2992732">https://doi.org/10.2139/ssrn.2992732</a>
  bibtex: '@book{Lorenz_Diller_Sureth-Sloane_2021, title={The Epidemiology of Tax
    Avoidance Narratives}, DOI={<a href="https://doi.org/10.2139/ssrn.2992732">10.2139/ssrn.2992732</a>},
    author={Lorenz, Johannes and Diller, Markus and Sureth-Sloane, Caren}, year={2021}
    }'
  chicago: Lorenz, Johannes, Markus Diller, and Caren Sureth-Sloane. <i>The Epidemiology
    of Tax Avoidance Narratives</i>, 2021. <a href="https://doi.org/10.2139/ssrn.2992732">https://doi.org/10.2139/ssrn.2992732</a>.
  ieee: J. Lorenz, M. Diller, and C. Sureth-Sloane, <i>The Epidemiology of Tax Avoidance
    Narratives</i>. 2021.
  mla: Lorenz, Johannes, et al. <i>The Epidemiology of Tax Avoidance Narratives</i>.
    2021, doi:<a href="https://doi.org/10.2139/ssrn.2992732">10.2139/ssrn.2992732</a>.
  short: J. Lorenz, M. Diller, C. Sureth-Sloane, The Epidemiology of Tax Avoidance
    Narratives, 2021.
date_created: 2021-09-17T11:27:20Z
date_updated: 2024-04-08T11:33:34Z
doi: 10.2139/ssrn.2992732
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
publication_identifier:
  issn:
  - 1556-5068
publication_status: published
status: public
title: The Epidemiology of Tax Avoidance Narratives
type: working_paper
user_id: '530'
year: '2021'
...
---
_id: '32006'
author:
- first_name: Colin
  full_name: Guillarmou, Colin
  last_name: Guillarmou
- first_name: Benjamin
  full_name: Küster, Benjamin
  last_name: Küster
citation:
  ama: Guillarmou C, Küster B. Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.
    <i>Annales Henri Poincaré</i>. 2021;22(11):3565-3617. doi:<a href="https://doi.org/10.1007/s00023-021-01068-7">10.1007/s00023-021-01068-7</a>
  apa: Guillarmou, C., &#38; Küster, B. (2021). Spectral Theory of the Frame Flow
    on Hyperbolic 3-Manifolds. <i>Annales Henri Poincaré</i>, <i>22</i>(11), 3565–3617.
    <a href="https://doi.org/10.1007/s00023-021-01068-7">https://doi.org/10.1007/s00023-021-01068-7</a>
  bibtex: '@article{Guillarmou_Küster_2021, title={Spectral Theory of the Frame Flow
    on Hyperbolic 3-Manifolds}, volume={22}, DOI={<a href="https://doi.org/10.1007/s00023-021-01068-7">10.1007/s00023-021-01068-7</a>},
    number={11}, journal={Annales Henri Poincaré}, publisher={Springer Science and
    Business Media LLC}, author={Guillarmou, Colin and Küster, Benjamin}, year={2021},
    pages={3565–3617} }'
  chicago: 'Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame
    Flow on Hyperbolic 3-Manifolds.” <i>Annales Henri Poincaré</i> 22, no. 11 (2021):
    3565–3617. <a href="https://doi.org/10.1007/s00023-021-01068-7">https://doi.org/10.1007/s00023-021-01068-7</a>.'
  ieee: 'C. Guillarmou and B. Küster, “Spectral Theory of the Frame Flow on Hyperbolic
    3-Manifolds,” <i>Annales Henri Poincaré</i>, vol. 22, no. 11, pp. 3565–3617, 2021,
    doi: <a href="https://doi.org/10.1007/s00023-021-01068-7">10.1007/s00023-021-01068-7</a>.'
  mla: Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow
    on Hyperbolic 3-Manifolds.” <i>Annales Henri Poincaré</i>, vol. 22, no. 11, Springer
    Science and Business Media LLC, 2021, pp. 3565–617, doi:<a href="https://doi.org/10.1007/s00023-021-01068-7">10.1007/s00023-021-01068-7</a>.
  short: C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617.
date_created: 2022-06-20T08:37:52Z
date_updated: 2024-04-11T12:39:23Z
department:
- _id: '548'
doi: 10.1007/s00023-021-01068-7
intvolume: '        22'
issue: '11'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 3565-3617
publication: Annales Henri Poincaré
publication_identifier:
  issn:
  - 1424-0637
  - 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds
type: journal_article
user_id: '70575'
volume: 22
year: '2021'
...
---
_id: '53420'
abstract:
- lang: eng
  text: "Let $P$ be a bounded convex subset of $\\mathbb R^n$ of positive volume.\r\nDenote
    the smallest degree of a polynomial $p(X_1,\\dots,X_n)$ vanishing on\r\n$P\\cap\\mathbb
    Z^n$ by $r_P$ and denote the smallest number $u\\geq0$ such that\r\nevery function
    on $P\\cap\\mathbb Z^n$ can be interpolated by a polynomial of\r\ndegree at most
    $u$ by $s_P$. We show that the values $(r_{d\\cdot P}-1)/d$ and\r\n$s_{d\\cdot
    P}/d$ for dilates $d\\cdot P$ converge from below to some numbers\r\n$v_P,w_P>0$
    as $d$ goes to infinity. The limits satisfy $v_P^{n-1}w_P \\leq\r\nn!\\cdot\\operatorname{vol}(P)$.
    When $P$ is a triangle in the plane, we show\r\nequality: $v_Pw_P = 2\\operatorname{vol}(P)$.
    These results are obtained by\r\nlooking at the set of standard monomials of the
    vanishing ideal of $d\\cdot\r\nP\\cap\\mathbb Z^n$ and by applying the Bernstein--Kushnirenko
    theorem. Finally,\r\nwe study irreducible Laurent polynomials that vanish with
    large multiplicity at\r\na point. This work is inspired by questions about Seshadri
    constants."
author:
- first_name: Fabian
  full_name: Gundlach, Fabian
  id: '100450'
  last_name: Gundlach
citation:
  ama: Gundlach F. Polynomials vanishing at lattice points in a convex set. <i>arXiv:210705353</i>.
    Published online 2021.
  apa: Gundlach, F. (2021). Polynomials vanishing at lattice points in a convex set.
    In <i>arXiv:2107.05353</i>.
  bibtex: '@article{Gundlach_2021, title={Polynomials vanishing at lattice points
    in a convex set}, journal={arXiv:2107.05353}, author={Gundlach, Fabian}, year={2021}
    }'
  chicago: Gundlach, Fabian. “Polynomials Vanishing at Lattice Points in a Convex
    Set.” <i>ArXiv:2107.05353</i>, 2021.
  ieee: F. Gundlach, “Polynomials vanishing at lattice points in a convex set,” <i>arXiv:2107.05353</i>.
    2021.
  mla: Gundlach, Fabian. “Polynomials Vanishing at Lattice Points in a Convex Set.”
    <i>ArXiv:2107.05353</i>, 2021.
  short: F. Gundlach, ArXiv:2107.05353 (2021).
date_created: 2024-04-11T12:43:04Z
date_updated: 2024-04-11T12:50:48Z
extern: '1'
external_id:
  arxiv:
  - '2107.05353'
language:
- iso: eng
publication: arXiv:2107.05353
status: public
title: Polynomials vanishing at lattice points in a convex set
type: preprint
user_id: '100450'
year: '2021'
...