---
_id: '32101'
author:
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: Yannick
  full_name: Guedes Bonthonneau, Yannick
  last_name: Guedes Bonthonneau
- first_name: Colin
  full_name: Guillarmou, Colin
  last_name: Guillarmou
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonances
    of Anosov actions. <i>J Europ Math Soc</i>. 2024;27(8):3085–3147. doi:<a href="https://doi.org/10.4171/JEMS/1428">https://doi.org/10.4171/JEMS/1428</a>
  apa: Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., &#38; Hilgert, J. (2024).
    Ruelle-Taylor resonances of Anosov actions. <i>J. Europ. Math. Soc.</i>, <i>27</i>(8),
    3085–3147. <a href="https://doi.org/10.4171/JEMS/1428">https://doi.org/10.4171/JEMS/1428</a>
  bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor
    resonances of Anosov actions}, volume={27}, DOI={<a href="https://doi.org/10.4171/JEMS/1428">https://doi.org/10.4171/JEMS/1428</a>},
    number={8}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias and Guedes Bonthonneau,
    Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024}, pages={3085–3147}
    }'
  chicago: 'Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim
    Hilgert. “Ruelle-Taylor Resonances of Anosov Actions.” <i>J. Europ. Math. Soc.</i>
    27, no. 8 (2024): 3085–3147. <a href="https://doi.org/10.4171/JEMS/1428">https://doi.org/10.4171/JEMS/1428</a>.'
  ieee: 'T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor
    resonances of Anosov actions,” <i>J. Europ. Math. Soc.</i>, vol. 27, no. 8, pp.
    3085–3147, 2024, doi: <a href="https://doi.org/10.4171/JEMS/1428">https://doi.org/10.4171/JEMS/1428</a>.'
  mla: Weich, Tobias, et al. “Ruelle-Taylor Resonances of Anosov Actions.” <i>J. Europ.
    Math. Soc.</i>, vol. 27, no. 8, 2024, pp. 3085–3147, doi:<a href="https://doi.org/10.4171/JEMS/1428">https://doi.org/10.4171/JEMS/1428</a>.
  short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math.
    Soc. 27 (2024) 3085–3147.
date_created: 2022-06-22T09:56:51Z
date_updated: 2026-02-18T10:33:34Z
ddc:
- '510'
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: https://doi.org/10.4171/JEMS/1428
file:
- access_level: open_access
  content_type: application/pdf
  creator: weich
  date_created: 2022-06-22T09:56:47Z
  date_updated: 2022-06-22T09:56:47Z
  file_id: '32102'
  file_name: 2007.14275.pdf
  file_size: 796410
  relation: main_file
file_date_updated: 2022-06-22T09:56:47Z
has_accepted_license: '1'
intvolume: '        27'
issue: '8'
language:
- iso: eng
oa: '1'
page: 3085–3147
publication: J. Europ. Math. Soc.
publication_status: published
status: public
title: Ruelle-Taylor resonances of Anosov actions
type: journal_article
user_id: '49178'
volume: 27
year: '2024'
...
---
_id: '31210'
abstract:
- lang: eng
  text: "In this paper we complete the program of relating the Laplace spectrum for\r\nrank
    one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances
    of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio
    and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou
    for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral
    rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset
    of exceptional spectral parameters always left untreated since the\r\ncorresponding
    Poisson transforms are neither injective nor surjective. We use\r\nvector valued
    Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces
    the exceptional spectral parameters lead to discrete\r\nseries representations
    of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more
    complicated, but can be described completely."
author:
- first_name: Christian
  full_name: Arends, Christian
  id: '43994'
  last_name: Arends
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric
    spaces: the case of exceptional parameters. <i>Journal de l’École polytechnique
    — Mathématiques</i>. 2023;10:335-403. doi:<a href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>'
  apa: 'Arends, C., &#38; Hilgert, J. (2023). Spectral correspondences for rank one
    locally symmetric spaces: the case of exceptional parameters. <i>Journal de l’École
    Polytechnique — Mathématiques</i>, <i>10</i>, 335–403. <a href="https://doi.org/10.5802/jep.220">https://doi.org/10.5802/jep.220</a>'
  bibtex: '@article{Arends_Hilgert_2023, title={Spectral correspondences for rank
    one locally symmetric spaces: the case of exceptional parameters}, volume={10},
    DOI={<a href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>}, journal={Journal
    de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert,
    Joachim}, year={2023}, pages={335–403} }'
  chicago: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for
    Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal
    de l’École Polytechnique — Mathématiques</i> 10 (2023): 335–403. <a href="https://doi.org/10.5802/jep.220">https://doi.org/10.5802/jep.220</a>.'
  ieee: 'C. Arends and J. Hilgert, “Spectral correspondences for rank one locally
    symmetric spaces: the case of exceptional parameters,” <i>Journal de l’École polytechnique
    — Mathématiques</i>, vol. 10, pp. 335–403, 2023, doi: <a href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>.'
  mla: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank
    One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal
    de l’École Polytechnique — Mathématiques</i>, vol. 10, 2023, pp. 335–403, doi:<a
    href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>.'
  short: C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10
    (2023) 335–403.
date_created: 2022-05-11T12:27:00Z
date_updated: 2024-02-19T06:30:26Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
doi: 10.5802/jep.220
external_id:
  arxiv:
  - '2112.11073'
intvolume: '        10'
keyword:
- Ruelle resonances
- Poisson transforms
- locally symmetric spaces
- principal series representations
language:
- iso: eng
page: 335-403
publication: Journal de l’École polytechnique — Mathématiques
publication_identifier:
  eissn:
  - 2270-518X
  issn:
  - 2429-7100
publication_status: published
status: public
title: 'Spectral correspondences for rank one locally symmetric spaces: the case of
  exceptional parameters'
type: journal_article
user_id: '49063'
volume: 10
year: '2023'
...
---
_id: '34793'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie
    groups and G-manifolds. <i>Journal of Differential Equations</i>. 2023;343:186–232.
    doi:<a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>
  apa: Glöckner, H., &#38; Hilgert, J. (2023). Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds. <i>Journal of Differential Equations</i>, <i>343</i>,
    186–232. <a href="https://doi.org/10.1016/j.jde.2022.10.001">https://doi.org/10.1016/j.jde.2022.10.001</a>
  bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds}, volume={343}, DOI={<a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>},
    journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert,
    Joachim}, year={2023}, pages={186–232} }'
  chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
    Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i> 343 (2023):
    186–232. <a href="https://doi.org/10.1016/j.jde.2022.10.001">https://doi.org/10.1016/j.jde.2022.10.001</a>.'
  ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds,” <i>Journal of Differential Equations</i>, vol. 343,
    pp. 186–232, 2023, doi: <a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>.'
  mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
    Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i>, vol. 343,
    2023, pp. 186–232, doi:<a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>.
  short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
date_created: 2022-12-21T19:31:13Z
date_updated: 2024-03-22T16:02:32Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
- _id: '91'
doi: 10.1016/j.jde.2022.10.001
external_id:
  arxiv:
  - '2007.11277'
intvolume: '       343'
keyword:
- '22E65'
- 28B05
- 34A12
- 34H05
- '46E30'
- '46E40'
language:
- iso: eng
page: 186–232
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
quality_controlled: '1'
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '178'
volume: 343
year: '2023'
...
---
_id: '31190'
abstract:
- lang: eng
  text: "For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$
    of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor
    the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting
    function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich
    is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved
    by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between
    horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions
    of the algebra of invariant differential\r\noperators on $G/K$."
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
  full_name: Wolf, Lasse Lennart
  id: '45027'
  last_name: Wolf
  orcid: 0000-0001-8893-2045
citation:
  ama: Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence.
    <i>Analysis &#38; PDE</i>. 2023;16(10):2241–2265. doi:<a href="https://doi.org/10.2140/apde.2023.16.2241">https://doi.org/10.2140/apde.2023.16.2241</a>
  apa: Hilgert, J., Weich, T., &#38; Wolf, L. L. (2023). Higher rank quantum-classical
    correspondence. <i>Analysis &#38; PDE</i>, <i>16</i>(10), 2241–2265. <a href="https://doi.org/10.2140/apde.2023.16.2241">https://doi.org/10.2140/apde.2023.16.2241</a>
  bibtex: '@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical
    correspondence}, volume={16}, DOI={<a href="https://doi.org/10.2140/apde.2023.16.2241">https://doi.org/10.2140/apde.2023.16.2241</a>},
    number={10}, journal={Analysis &#38; PDE}, publisher={MSP}, author={Hilgert, Joachim
    and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }'
  chicago: 'Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical
    Correspondence.” <i>Analysis &#38; PDE</i> 16, no. 10 (2023): 2241–2265. <a href="https://doi.org/10.2140/apde.2023.16.2241">https://doi.org/10.2140/apde.2023.16.2241</a>.'
  ieee: 'J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,”
    <i>Analysis &#38; PDE</i>, vol. 16, no. 10, pp. 2241–2265, 2023, doi: <a href="https://doi.org/10.2140/apde.2023.16.2241">https://doi.org/10.2140/apde.2023.16.2241</a>.'
  mla: Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” <i>Analysis
    &#38; PDE</i>, vol. 16, no. 10, MSP, 2023, pp. 2241–2265, doi:<a href="https://doi.org/10.2140/apde.2023.16.2241">https://doi.org/10.2140/apde.2023.16.2241</a>.
  short: J. Hilgert, T. Weich, L.L. Wolf, Analysis &#38; PDE 16 (2023) 2241–2265.
date_created: 2022-05-11T10:41:35Z
date_updated: 2026-02-18T10:39:36Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
doi: https://doi.org/10.2140/apde.2023.16.2241
external_id:
  arxiv:
  - '2103.05667'
intvolume: '        16'
issue: '10'
language:
- iso: eng
page: 2241–2265
publication: Analysis & PDE
publisher: MSP
status: public
title: Higher rank quantum-classical correspondence
type: journal_article
user_id: '49178'
volume: 16
year: '2023'
...
---
_id: '51383'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: C.
  full_name: Arends, C.
  last_name: Arends
citation:
  ama: Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric
    spaces - The case of exceptional parameters. <i>J de l’École polytechnique — Mathématiques</i>.
    2023;10:335-403.
  apa: Hilgert, J., &#38; Arends, C. (2023). Spectral correspondences for rank one
    locally symmetric spaces - The case of exceptional parameters. <i>J. de l’École
    Polytechnique — Mathématiques</i>, <i>10</i>, 335–403.
  bibtex: '@article{Hilgert_Arends_2023, title={Spectral correspondences for rank
    one locally symmetric spaces - The case of exceptional parameters}, volume={10},
    journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim
    and Arends, C.}, year={2023}, pages={335–403} }'
  chicago: 'Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One
    Locally Symmetric Spaces - The Case of Exceptional Parameters.” <i>J. de l’École
    Polytechnique — Mathématiques</i> 10 (2023): 335–403.'
  ieee: J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric
    spaces - The case of exceptional parameters,” <i>J. de l’École polytechnique —
    Mathématiques</i>, vol. 10, pp. 335–403, 2023.
  mla: Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally
    Symmetric Spaces - The Case of Exceptional Parameters.” <i>J. de l’École Polytechnique
    — Mathématiques</i>, vol. 10, 2023, pp. 335–403.
  short: J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023)
    335–403.
date_created: 2024-02-19T06:34:11Z
date_updated: 2026-03-31T08:26:09Z
department:
- _id: '91'
intvolume: '        10'
language:
- iso: eng
page: 335-403
publication: J. de l'École polytechnique — Mathématiques
publication_status: published
status: public
title: Spectral correspondences for rank one locally symmetric spaces - The case of
  exceptional parameters
type: journal_article
user_id: '220'
volume: 10
year: '2023'
...
---
_id: '51384'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: H.
  full_name: Glöckner, H.
  last_name: Glöckner
citation:
  ama: Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie
    groups and G-manifolds. <i>J Diff Equations</i>. 2023;343:186-232.
  apa: Hilgert, J., &#38; Glöckner, H. (2023). Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds. <i>J. Diff. Equations</i>, <i>343</i>, 186–232.
  bibtex: '@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert,
    Joachim and Glöckner, H.}, year={2023}, pages={186–232} }'
  chicago: 'Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
    Lie Groups and G-Manifolds.” <i>J. Diff. Equations</i> 343 (2023): 186–232.'
  ieee: J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds,” <i>J. Diff. Equations</i>, vol. 343, pp. 186–232,
    2023.
  mla: Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
    Lie Groups and G-Manifolds.” <i>J. Diff. Equations</i>, vol. 343, 2023, pp. 186–232.
  short: J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
date_created: 2024-02-19T06:35:08Z
date_updated: 2026-03-31T08:25:53Z
department:
- _id: '91'
intvolume: '       343'
language:
- iso: eng
page: 186-232
publication: J. Diff. Equations
publication_status: published
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '220'
volume: 343
year: '2023'
...
---
_id: '35322'
author:
- first_name: Kai-Uwe
  full_name: Bux, Kai-Uwe
  last_name: Bux
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree.
    <i>Journal of Spectral Theory</i>. 2022;12(2):659-681. doi:<a href="https://doi.org/10.4171/jst/414">10.4171/jst/414</a>
  apa: Bux, K.-U., Hilgert, J., &#38; Weich, T. (2022). Poisson transforms for trees
    of bounded degree. <i>Journal of Spectral Theory</i>, <i>12</i>(2), 659–681. <a
    href="https://doi.org/10.4171/jst/414">https://doi.org/10.4171/jst/414</a>
  bibtex: '@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of
    bounded degree}, volume={12}, DOI={<a href="https://doi.org/10.4171/jst/414">10.4171/jst/414</a>},
    number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical
    Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim
    and Weich, Tobias}, year={2022}, pages={659–681} }'
  chicago: 'Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for
    Trees of Bounded Degree.” <i>Journal of Spectral Theory</i> 12, no. 2 (2022):
    659–81. <a href="https://doi.org/10.4171/jst/414">https://doi.org/10.4171/jst/414</a>.'
  ieee: 'K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded
    degree,” <i>Journal of Spectral Theory</i>, vol. 12, no. 2, pp. 659–681, 2022,
    doi: <a href="https://doi.org/10.4171/jst/414">10.4171/jst/414</a>.'
  mla: Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” <i>Journal
    of Spectral Theory</i>, vol. 12, no. 2, European Mathematical Society - EMS -
    Publishing House GmbH, 2022, pp. 659–81, doi:<a href="https://doi.org/10.4171/jst/414">10.4171/jst/414</a>.
  short: K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
date_created: 2023-01-06T08:49:06Z
date_updated: 2024-02-19T06:28:12Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.4171/jst/414
intvolume: '        12'
issue: '2'
keyword:
- Geometry and Topology
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 659-681
publication: Journal of Spectral Theory
publication_identifier:
  issn:
  - 1664-039X
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '49063'
volume: 12
year: '2022'
...
---
_id: '51554'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second
    Edition. AMS/MAA Press 2021. <i>Mathematische Semesterberichte</i>. 2022;69:151–153.
    doi:<a href="https://doi.org/10.1007/s00591-021-00314-7">10.1007/s00591-021-00314-7</a>'
  apa: 'Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics,
    Second Edition. AMS/MAA Press 2021. In <i>Mathematische Semesterberichte</i> (Vol.
    69, pp. 151–153). <a href="https://doi.org/10.1007/s00591-021-00314-7">https://doi.org/10.1007/s00591-021-00314-7</a>'
  bibtex: '@article{Hilgert_2022, title={Ethan D. Bolker und Maura B. Mast: Common
    Sense Mathematics, Second Edition. AMS/MAA Press 2021}, volume={69}, DOI={<a href="https://doi.org/10.1007/s00591-021-00314-7">10.1007/s00591-021-00314-7</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2022},
    pages={151–153} }'
  chicago: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics,
    Second Edition. AMS/MAA Press 2021.” <i>Mathematische Semesterberichte</i>, 2022.
    <a href="https://doi.org/10.1007/s00591-021-00314-7">https://doi.org/10.1007/s00591-021-00314-7</a>.'
  ieee: 'J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics,
    Second Edition. AMS/MAA Press 2021,” <i>Mathematische Semesterberichte</i>, vol.
    69. pp. 151–153, 2022, doi: <a href="https://doi.org/10.1007/s00591-021-00314-7">10.1007/s00591-021-00314-7</a>.'
  mla: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics,
    Second Edition. AMS/MAA Press 2021.” <i>Mathematische Semesterberichte</i>, vol.
    69, 2022, pp. 151–153, doi:<a href="https://doi.org/10.1007/s00591-021-00314-7">10.1007/s00591-021-00314-7</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.
date_created: 2024-02-20T09:49:04Z
date_updated: 2024-02-20T09:52:53Z
department:
- _id: '91'
doi: 10.1007/s00591-021-00314-7
intvolume: '        69'
language:
- iso: eng
page: 151–153
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition.
  AMS/MAA Press 2021'
type: review
user_id: '49063'
volume: 69
year: '2022'
...
---
_id: '51385'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: K.-U.
  full_name: Bux, K.-U.
  last_name: Bux
citation:
  ama: Hilgert J, Weich T, Bux K-U. Poisson transforms for trees of bounded degree.
    <i>J of Spectral Theory</i>. 2022;12:659-681.
  apa: Hilgert, J., Weich, T., &#38; Bux, K.-U. (2022). Poisson transforms for trees
    of bounded degree. <i>J. of Spectral Theory</i>, <i>12</i>, 659–681.
  bibtex: '@article{Hilgert_Weich_Bux_2022, title={Poisson transforms for trees of
    bounded degree}, volume={12}, journal={J. of Spectral Theory}, author={Hilgert,
    Joachim and Weich, Tobias and Bux, K.-U.}, year={2022}, pages={659–681} }'
  chicago: 'Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for
    Trees of Bounded Degree.” <i>J. of Spectral Theory</i> 12 (2022): 659–81.'
  ieee: J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded
    degree,” <i>J. of Spectral Theory</i>, vol. 12, pp. 659–681, 2022.
  mla: Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.”
    <i>J. of Spectral Theory</i>, vol. 12, 2022, pp. 659–81.
  short: J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.
date_created: 2024-02-19T06:36:17Z
date_updated: 2026-03-31T08:25:35Z
department:
- _id: '91'
intvolume: '        12'
language:
- iso: eng
page: 659-681
publication: J. of Spectral Theory
publication_status: published
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '220'
volume: 12
year: '2022'
...
---
_id: '31263'
author:
- first_name: Colin
  full_name: Guillarmou, Colin
  last_name: Guillarmou
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle
    densities. <i>Annales Henri Lebesgue</i>. 2021;4:81-119. doi:<a href="https://doi.org/10.5802/ahl.67">10.5802/ahl.67</a>
  apa: Guillarmou, C., Hilgert, J., &#38; Weich, T. (2021). High frequency limits
    for invariant Ruelle densities. <i>Annales Henri Lebesgue</i>, <i>4</i>, 81–119.
    <a href="https://doi.org/10.5802/ahl.67">https://doi.org/10.5802/ahl.67</a>
  bibtex: '@article{Guillarmou_Hilgert_Weich_2021, title={High frequency limits for
    invariant Ruelle densities}, volume={4}, DOI={<a href="https://doi.org/10.5802/ahl.67">10.5802/ahl.67</a>},
    journal={Annales Henri Lebesgue}, publisher={Cellule MathDoc/CEDRAM}, author={Guillarmou,
    Colin and Hilgert, Joachim and Weich, Tobias}, year={2021}, pages={81–119} }'
  chicago: 'Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency
    Limits for Invariant Ruelle Densities.” <i>Annales Henri Lebesgue</i> 4 (2021):
    81–119. <a href="https://doi.org/10.5802/ahl.67">https://doi.org/10.5802/ahl.67</a>.'
  ieee: 'C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant
    Ruelle densities,” <i>Annales Henri Lebesgue</i>, vol. 4, pp. 81–119, 2021, doi:
    <a href="https://doi.org/10.5802/ahl.67">10.5802/ahl.67</a>.'
  mla: Guillarmou, Colin, et al. “High Frequency Limits for Invariant Ruelle Densities.”
    <i>Annales Henri Lebesgue</i>, vol. 4, Cellule MathDoc/CEDRAM, 2021, pp. 81–119,
    doi:<a href="https://doi.org/10.5802/ahl.67">10.5802/ahl.67</a>.
  short: C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
date_created: 2022-05-17T12:05:17Z
date_updated: 2024-02-19T06:27:43Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.5802/ahl.67
external_id:
  arxiv:
  - '1803.06717'
intvolume: '         4'
language:
- iso: eng
page: 81-119
publication: Annales Henri Lebesgue
publication_identifier:
  issn:
  - 2644-9463
publication_status: published
publisher: Cellule MathDoc/CEDRAM
status: public
title: High frequency limits for invariant Ruelle densities
type: journal_article
user_id: '49063'
volume: 4
year: '2021'
...
---
_id: '36271'
author:
- first_name: Dominik
  full_name: Brennecken, Dominik
  id: '55911'
  last_name: Brennecken
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Lorenzo
  full_name: Ciardo, Lorenzo
  last_name: Ciardo
citation:
  ama: Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for
    the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). <i>Journal of
    Lie Theory</i>. 2021;31(2):459--468. doi:<a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>
  apa: Brennecken, D., Hilgert, J., &#38; Ciardo, L. (2021). Algebraically Independent
    Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).
    <i>Journal of Lie Theory</i>, <i>31</i>(2), 459--468. <a href="https://doi.org/10.48550/arXiv.2008.07479">https://doi.org/10.48550/arXiv.2008.07479</a>
  bibtex: '@article{Brennecken_Hilgert_Ciardo_2021, title={Algebraically Independent
    Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)},
    volume={31}, DOI={<a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>},
    number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken,
    Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468}
    }'
  chicago: 'Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically
    Independent Generators for the Algebra of Invariant Differential Operators on
    SLn(R)/SOn(R).” <i>Journal of Lie Theory</i> 31, no. 2 (2021): 459--468. <a href="https://doi.org/10.48550/arXiv.2008.07479">https://doi.org/10.48550/arXiv.2008.07479</a>.'
  ieee: 'D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators
    for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” <i>Journal
    of Lie Theory</i>, vol. 31, no. 2, pp. 459--468, 2021, doi: <a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>.'
  mla: Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra
    of Invariant Differential Operators on SLn(R)/SOn(R).” <i>Journal of Lie Theory</i>,
    vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi:<a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>.
  short: D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
date_created: 2023-01-12T08:23:28Z
date_updated: 2024-02-19T06:27:09Z
department:
- _id: '555'
- _id: '91'
doi: 10.48550/arXiv.2008.07479
intvolume: '        31'
issue: '2'
language:
- iso: eng
page: 459--468
publication: Journal of Lie Theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: Algebraically Independent Generators for the Algebra of Invariant Differential
  Operators on SLn(R)/SOn(R)
type: journal_article
user_id: '49063'
volume: 31
year: '2021'
...
---
_id: '51556'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Philip Ording: 99 Variations on a Proof. Princeton University Press
    2019. <i>Mathematische Semesterberichte</i>. 2021;68:171–173. doi:<a href="https://doi.org/10.1007/s00591-021-00295-7">10.1007/s00591-021-00295-7</a>'
  apa: 'Hilgert, J. (2021). Philip Ording: 99 Variations on a Proof. Princeton University
    Press 2019. In <i>Mathematische Semesterberichte</i> (Vol. 68, pp. 171–173). <a
    href="https://doi.org/10.1007/s00591-021-00295-7">https://doi.org/10.1007/s00591-021-00295-7</a>'
  bibtex: '@article{Hilgert_2021, title={Philip Ording: 99 Variations on a Proof.
    Princeton University Press 2019}, volume={68}, DOI={<a href="https://doi.org/10.1007/s00591-021-00295-7">10.1007/s00591-021-00295-7</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021},
    pages={171–173} }'
  chicago: 'Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton
    University Press 2019.” <i>Mathematische Semesterberichte</i>, 2021. <a href="https://doi.org/10.1007/s00591-021-00295-7">https://doi.org/10.1007/s00591-021-00295-7</a>.'
  ieee: 'J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University
    Press 2019,” <i>Mathematische Semesterberichte</i>, vol. 68. pp. 171–173, 2021,
    doi: <a href="https://doi.org/10.1007/s00591-021-00295-7">10.1007/s00591-021-00295-7</a>.'
  mla: 'Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University
    Press 2019.” <i>Mathematische Semesterberichte</i>, vol. 68, 2021, pp. 171–173,
    doi:<a href="https://doi.org/10.1007/s00591-021-00295-7">10.1007/s00591-021-00295-7</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.
date_created: 2024-02-20T09:52:08Z
date_updated: 2024-02-20T10:03:43Z
department:
- _id: '91'
doi: 10.1007/s00591-021-00295-7
intvolume: '        68'
language:
- iso: eng
page: 171–173
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Philip Ording: 99 Variations on a Proof. Princeton University Press 2019'
type: review
user_id: '49063'
volume: 68
year: '2021'
...
---
_id: '51555'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame
    Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. <i>Mathematische
    Semesterberichte</i>. 2021;68:175–177. doi:<a href="https://doi.org/10.1007/s00591-021-00296-6">10.1007/s00591-021-00296-6</a>'
  apa: 'Hilgert, J. (2021). Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch
    – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.
    In <i>Mathematische Semesterberichte</i> (Vol. 68, pp. 175–177). <a href="https://doi.org/10.1007/s00591-021-00296-6">https://doi.org/10.1007/s00591-021-00296-6</a>'
  bibtex: '@article{Hilgert_2021, title={Georg Glaeser (Hrsg.): 77-mal Mathematik
    für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer
    Spektrum 2020}, volume={68}, DOI={<a href="https://doi.org/10.1007/s00591-021-00296-6">10.1007/s00591-021-00296-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021},
    pages={175–177} }'
  chicago: 'Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch
    – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.”
    <i>Mathematische Semesterberichte</i>, 2021. <a href="https://doi.org/10.1007/s00591-021-00296-6">https://doi.org/10.1007/s00591-021-00296-6</a>.'
  ieee: 'J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch –
    Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,”
    <i>Mathematische Semesterberichte</i>, vol. 68. pp. 175–177, 2021, doi: <a href="https://doi.org/10.1007/s00591-021-00296-6">10.1007/s00591-021-00296-6</a>.'
  mla: 'Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch
    – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.”
    <i>Mathematische Semesterberichte</i>, vol. 68, 2021, pp. 175–177, doi:<a href="https://doi.org/10.1007/s00591-021-00296-6">10.1007/s00591-021-00296-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.
date_created: 2024-02-20T09:50:31Z
date_updated: 2024-02-20T10:14:56Z
department:
- _id: '91'
doi: 10.1007/s00591-021-00296-6
intvolume: '        68'
language:
- iso: ger
page: 175–177
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame
  Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020'
type: review
user_id: '49063'
volume: 68
year: '2021'
...
---
_id: '35702'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Mathematics Learning Support Centres
    are becoming more and more common in higher education both internationally and
    in Germany. Whereas it is clear that their quality largely depends on a functioning
    interaction in consultations, little is known about how such consultations proceed
    in detail. On the basis of models from the literature and recorded support sessions
    (N = 36), we constructed a process model that divides consultations into four
    ideal–typical phases. In the individual consultations, forward or backward leaps
    occur, but overall the model seems to describe the data well. A high intercoder
    reliability shows that it can be applied consistently on real data by different
    researchers. An analysis of the consultations between students and tutors shows
    that both mainly work on past attempts or thoughts of the students to solve the
    exercise or problems and on concrete strategies to solve a problem within the
    session. In contrast, very little time is dedicated to summarizing and reflecting
    the solution. The data allows for a more in-depth discussion of what constitutes
    quality in advising processes and how it might be further explored. Practically,
    the model may structure support sessions and help in focussing on different goals
    in different phases.</jats:p>
author:
- first_name: Mirko
  full_name: Schürmann, Mirko
  id: '59707'
  last_name: Schürmann
  orcid: 0000-0003-2646-085X
- first_name: Anja
  full_name: Panse, Anja
  last_name: Panse
- first_name: Zain
  full_name: Shaikh, Zain
  last_name: Shaikh
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Niclas
  full_name: Schaper, Niclas
  last_name: Schaper
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Schürmann M, Panse A, Shaikh Z, et al. Consultation Phases in Mathematics Learning
    and Support Centres. <i>International Journal of Research in Undergraduate Mathematics
    Education</i>. 2021;8(1):94-120. doi:<a href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>
  apa: Schürmann, M., Panse, A., Shaikh, Z., Biehler, R., Schaper, N., Liebendörfer,
    M., &#38; Hilgert, J. (2021). Consultation Phases in Mathematics Learning and
    Support Centres. <i>International Journal of Research in Undergraduate Mathematics
    Education</i>, <i>8</i>(1), 94–120. <a href="https://doi.org/10.1007/s40753-021-00154-9">https://doi.org/10.1007/s40753-021-00154-9</a>
  bibtex: '@article{Schürmann_Panse_Shaikh_Biehler_Schaper_Liebendörfer_Hilgert_2021,
    title={Consultation Phases in Mathematics Learning and Support Centres}, volume={8},
    DOI={<a href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>},
    number={1}, journal={International Journal of Research in Undergraduate Mathematics
    Education}, publisher={Springer Science and Business Media LLC}, author={Schürmann,
    Mirko and Panse, Anja and Shaikh, Zain and Biehler, Rolf and Schaper, Niclas and
    Liebendörfer, Michael and Hilgert, Joachim}, year={2021}, pages={94–120} }'
  chicago: 'Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper,
    Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics
    Learning and Support Centres.” <i>International Journal of Research in Undergraduate
    Mathematics Education</i> 8, no. 1 (2021): 94–120. <a href="https://doi.org/10.1007/s40753-021-00154-9">https://doi.org/10.1007/s40753-021-00154-9</a>.'
  ieee: 'M. Schürmann <i>et al.</i>, “Consultation Phases in Mathematics Learning
    and Support Centres,” <i>International Journal of Research in Undergraduate Mathematics
    Education</i>, vol. 8, no. 1, pp. 94–120, 2021, doi: <a href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>.'
  mla: Schürmann, Mirko, et al. “Consultation Phases in Mathematics Learning and Support
    Centres.” <i>International Journal of Research in Undergraduate Mathematics Education</i>,
    vol. 8, no. 1, Springer Science and Business Media LLC, 2021, pp. 94–120, doi:<a
    href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>.
  short: M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer,
    J. Hilgert, International Journal of Research in Undergraduate Mathematics Education
    8 (2021) 94–120.
date_created: 2023-01-10T09:09:23Z
date_updated: 2024-04-18T10:09:08Z
department:
- _id: '363'
- _id: '423'
- _id: '91'
- _id: '625'
doi: 10.1007/s40753-021-00154-9
intvolume: '         8'
issue: '1'
keyword:
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 94-120
publication: International Journal of Research in Undergraduate Mathematics Education
publication_identifier:
  issn:
  - 2198-9745
  - 2198-9753
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Consultation Phases in Mathematics Learning and Support Centres
type: journal_article
user_id: '37888'
volume: 8
year: '2021'
...
---
_id: '51493'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Ingrid
  full_name: Hilgert, Ingrid
  last_name: Hilgert
citation:
  ama: Hilgert J, Hilgert I. <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer
    Spektrum; 2021.
  apa: Hilgert, J., &#38; Hilgert, I. (2021). <i>Mathematik - Ein Reiseführer 2. Auflage</i>.
    Springer Spektrum.
  bibtex: '@book{Hilgert_Hilgert_2021, title={Mathematik - Ein Reiseführer 2. Auflage},
    publisher={Springer Spektrum}, author={Hilgert, Joachim and Hilgert, Ingrid},
    year={2021} }'
  chicago: Hilgert, Joachim, and Ingrid Hilgert. <i>Mathematik - Ein Reiseführer 2.
    Auflage</i>. Springer Spektrum, 2021.
  ieee: J. Hilgert and I. Hilgert, <i>Mathematik - Ein Reiseführer 2. Auflage</i>.
    Springer Spektrum, 2021.
  mla: Hilgert, Joachim, and Ingrid Hilgert. <i>Mathematik - Ein Reiseführer 2. Auflage</i>.
    Springer Spektrum, 2021.
  short: J. Hilgert, I. Hilgert, Mathematik - Ein Reiseführer 2. Auflage, Springer
    Spektrum, 2021.
date_created: 2024-02-19T10:21:25Z
date_updated: 2024-08-08T07:49:11Z
department:
- _id: '91'
language:
- iso: ger
publication_status: published
publisher: Springer Spektrum
status: public
title: Mathematik - Ein Reiseführer 2. Auflage
type: book
user_id: '220'
year: '2021'
...
---
_id: '51386'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: H.
  full_name: Barnum, H.
  last_name: Barnum
citation:
  ama: Hilgert J, Barnum H. Spectral Properties of Convex Bodies. <i>J of Lie Theory</i>.
    2020;30:315-344.
  apa: Hilgert, J., &#38; Barnum, H. (2020). Spectral Properties of Convex Bodies.
    <i>J. of Lie Theory</i>, <i>30</i>, 315–344.
  bibtex: '@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies},
    volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum,
    H.}, year={2020}, pages={315–344} }'
  chicago: 'Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.”
    <i>J. of Lie Theory</i> 30 (2020): 315–44.'
  ieee: J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” <i>J. of
    Lie Theory</i>, vol. 30, pp. 315–344, 2020.
  mla: Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J.
    of Lie Theory</i>, vol. 30, 2020, pp. 315–44.
  short: J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
date_created: 2024-02-19T06:37:21Z
date_updated: 2024-02-19T06:39:48Z
department:
- _id: '91'
intvolume: '        30'
language:
- iso: eng
page: 315-344
publication: J. of Lie Theory
publication_status: published
status: public
title: Spectral Properties of Convex Bodies
type: journal_article
user_id: '49063'
volume: 30
year: '2020'
...
---
_id: '51559'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
    and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
    Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. <i>Mathematische
    Semesterberichte</i>. 2020;67:301–305. doi:<a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>'
  apa: 'Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction
    – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk:
    Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum
    2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 301–305). <a href="https://doi.org/10.1007/s00591-020-00282-4">https://doi.org/10.1007/s00591-020-00282-4</a>'
  bibtex: '@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical
    Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian
    André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen.
    Springer Spektrum 2019}, volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={301–305} }'
  chicago: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
    – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
    Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
    2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-020-00282-4">https://doi.org/10.1007/s00591-020-00282-4</a>.'
  ieee: 'J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
    and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
    Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,”
    <i>Mathematische Semesterberichte</i>, vol. 67. pp. 301–305, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>.'
  mla: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
    – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
    Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
    2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 301–305, doi:<a
    href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.
date_created: 2024-02-20T10:01:02Z
date_updated: 2024-02-20T10:03:50Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00282-4
intvolume: '        67'
language:
- iso: eng
page: 301–305
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant
  method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion
  – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51557'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed
    Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press
    2020. <i>Mathematische Semesterberichte</i>. 2020;67:307–309. doi:<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>'
  apa: 'Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 307–309). <a
    href="https://doi.org/10.1007/s00591-020-00283-3">https://doi.org/10.1007/s00591-020-00283-3</a>'
  bibtex: '@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a
    Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation.
    Princeton University Press 2020}, volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={307–309} }'
  chicago: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020.” <i>Mathematische Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-020-00283-3">https://doi.org/10.1007/s00591-020-00283-3</a>.'
  ieee: 'J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel
    Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 307–309, 2020,
    doi: <a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>.'
  mla: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 307–309,
    doi:<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.
date_created: 2024-02-20T09:53:55Z
date_updated: 2024-02-20T10:03:46Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00283-3
intvolume: '        67'
language:
- iso: eng
page: 307–309
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance
  Italy and Uncovered the Cubic Equation. Princeton University Press 2020'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51561'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual
    Design. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>.
    2020;67:123–124. doi:<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>'
  apa: 'Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 123–124). <a href="https://doi.org/10.1007/s00591-020-00272-6">https://doi.org/10.1007/s00591-020-00272-6</a>'
  bibtex: '@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical
    Optimization to Visual Design. Princeton University Press 2019}, volume={67},
    DOI={<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={123–124} }'
  chicago: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-020-00272-6">https://doi.org/10.1007/s00591-020-00272-6</a>.'
  ieee: 'J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual
    Design. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>,
    vol. 67. pp. 123–124, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>.'
  mla: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    vol. 67, 2020, pp. 123–124, doi:<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.
date_created: 2024-02-20T10:03:14Z
date_updated: 2024-02-20T10:04:02Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00272-6
intvolume: '        67'
language:
- iso: eng
page: 123–124
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton
  University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51560'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas.
    Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2020;67:297–299.
    doi:<a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>'
  apa: 'Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of
    the Big Ideas. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 297–299). <a href="https://doi.org/10.1007/s00591-020-00280-6">https://doi.org/10.1007/s00591-020-00280-6</a>'
  bibtex: '@article{Hilgert_2020, title={David M. Bressoud: Calculus Reordered --
    A History of the Big Ideas. Princeton University Press 2019}, volume={67}, DOI={<a
    href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={297–299} }'
  chicago: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History
    of the Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-020-00280-6">https://doi.org/10.1007/s00591-020-00280-6</a>.'
  ieee: 'J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big
    Ideas. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>,
    vol. 67. pp. 297–299, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>.'
  mla: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the
    Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    vol. 67, 2020, pp. 297–299, doi:<a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299.
date_created: 2024-02-20T10:02:16Z
date_updated: 2024-02-20T10:03:56Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00280-6
intvolume: '        67'
language:
- iso: eng
page: 297–299
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton
  University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...