[{"volume":"Band 403","user_id":"5786","language":[{"iso":"eng"}],"_id":"52665","series_title":"HNI-Verlagsschriftreihe","date_updated":"2024-04-02T09:47:42Z","publication_identifier":{"isbn":["978-3-947647-22-4"]},"author":[{"id":"83856","last_name":"Hillebrand","first_name":"Michael","full_name":"Hillebrand, Michael"}],"year":"2021","status":"public","title":"Entwicklungssystematik zur Integration von Eigenschaften der Selbstheilung in Intelligente Technische Systeme ","department":[{"_id":"26"}],"type":"dissertation","date_created":"2024-03-20T10:07:10Z","citation":{"chicago":"Hillebrand, Michael. <i>Entwicklungssystematik Zur Integration von Eigenschaften Der Selbstheilung in Intelligente Technische Systeme </i>. Vol. Band 403. HNI-Verlagsschriftreihe, 2021.","short":"M. Hillebrand, Entwicklungssystematik Zur Integration von Eigenschaften Der Selbstheilung in Intelligente Technische Systeme , 2021.","ieee":"M. Hillebrand, <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} }","ama":"Hillebrand M. <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."}},{"citation":{"ama":"Wu L. <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für Analog-Digital-Wandler Mit Zeitversetzter Abtastung</i>. Vol 402.; 2021.","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} }","mla":"Wu, Liang. <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für Analog-Digital-Wandler Mit Zeitversetzter Abtastung</i>. 2021.","chicago":"Wu, Liang. <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für Analog-Digital-Wandler Mit Zeitversetzter Abtastung</i>. Vol. 402. HNI-Verlagsschriftreihe, 2021.","short":"L. Wu, Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie Für Analog-Digital-Wandler Mit Zeitversetzter Abtastung, 2021.","apa":"Wu, L. (2021). <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie für Analog-Digital-Wandler mit zeitversetzter Abtastung</i> (Vol. 402).","ieee":"L. Wu, <i>Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie für Analog-Digital-Wandler mit zeitversetzter Abtastung</i>, vol. 402. 2021."},"date_created":"2024-03-20T09:53:23Z","type":"dissertation","department":[{"_id":"26"}],"title":"Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie für Analog-Digital-Wandler mit zeitversetzter Abtastung","year":"2021","status":"public","author":[{"id":"30401","first_name":"Liang","last_name":"Wu","full_name":"Wu, Liang"}],"publication_identifier":{"isbn":["978-3-947647-21-7"]},"date_updated":"2024-04-02T09:47:49Z","intvolume":"       402","language":[{"iso":"eng"}],"_id":"52664","series_title":"HNI-Verlagsschriftreihe","user_id":"5786","volume":402},{"language":[{"iso":"ger"}],"_id":"52814","publisher":"Universitätsverlag Göttingen","page":"85-103","editor":[{"full_name":"Hinzmann, Friederike","last_name":"Hinzmann","first_name":"Friederike"},{"last_name":"Storz","first_name":"Coretta ","full_name":"Storz, Coretta "},{"first_name":"Annemarie ","last_name":"Hülsmann","full_name":"Hülsmann, Annemarie "},{"first_name":"Ulrike ","last_name":"Rosner","full_name":"Rosner, Ulrike "},{"full_name":"Dupke, Benjamin ","last_name":"Dupke","first_name":"Benjamin "}],"user_id":"80828","author":[{"last_name":"Büttner","first_name":"Denise","full_name":"Büttner, Denise","id":"100819"},{"full_name":"Roll , Heike","first_name":"Heike","last_name":"Roll "}],"year":"2021","title":"„Zunge: Sprache“ Literarische Mehrsprachigkeit im Deutschunterricht am Beispiel der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar","status":"public","publication_status":"published","date_updated":"2024-04-02T13:03:32Z","date_created":"2024-03-25T10:11:41Z","place":"Göttingen","department":[{"_id":"468"}],"type":"book_chapter","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.","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} }","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.","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.","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.","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.","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."},"publication":"Vermitteln - verbinden - verstehen. 46. Jahrestagung des Fachverbandes Deutsch als Fremd- und Zweitsprache an der Technischen Universität Chemnitz "},{"date_updated":"2024-04-03T09:16:19Z","author":[{"first_name":"Tim","last_name":"Binz","full_name":"Binz, Tim"},{"full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441"}],"year":"2021","status":"public","title":"A convergent finite element algorithm for mean curvature flow in higher codimension","user_id":"100441","_id":"45967","language":[{"iso":"eng"}],"citation":{"mla":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Mean Curvature Flow in Higher Codimension.” <i>ArXiv</i>, 2021.","ama":"Binz T, Kovács B. A convergent finite element algorithm for mean curvature flow in higher codimension. <i>arXiv</i>. Published online 2021.","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} }","apa":"Binz, T., &#38; Kovács, B. (2021). A convergent finite element algorithm for mean curvature flow in higher codimension. <i>ArXiv</i>.","ieee":"T. Binz and B. Kovács, “A convergent finite element algorithm for mean curvature flow in higher codimension,” <i>arXiv</i>, 2021.","short":"T. Binz, B. Kovács, ArXiv (2021).","chicago":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Mean Curvature Flow in Higher Codimension.” <i>ArXiv</i>, 2021."},"publication":"arXiv","department":[{"_id":"841"}],"type":"journal_article","date_created":"2023-07-10T11:46:16Z"},{"title":"A convergent finite element algorithm for generalized mean curvature flows of closed surfaces","year":"2021","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"full_name":"Binz, Tim","last_name":"Binz","first_name":"Tim"},{"full_name":"Kovács, Balázs","first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441"}],"date_updated":"2024-04-03T09:18:40Z","publication_status":"published","intvolume":"        42","language":[{"iso":"eng"}],"doi":"10.1093/imanum/drab043","publication":"IMA Journal of Numerical Analysis","issue":"3","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>"}],"date_created":"2023-07-10T11:44:41Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"department":[{"_id":"841"}],"status":"public","page":"2545-2588","_id":"45962","publisher":"Oxford University Press (OUP)","user_id":"100441","volume":42,"citation":{"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>.","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} }","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>","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>.","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>","short":"T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 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>."}},{"publication_status":"published","date_updated":"2024-04-03T09:20:15Z","intvolume":"        42","year":"2021","title":"Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions","author":[{"full_name":"Harder, Paula","first_name":"Paula","last_name":"Harder"},{"id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","first_name":"Balázs","last_name":"Kovács"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"doi":"10.1093/imanum/drab045","language":[{"iso":"eng"}],"abstract":[{"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>","lang":"eng"}],"issue":"3","publication":"IMA Journal of Numerical Analysis","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:43:28Z","status":"public","user_id":"100441","volume":42,"page":"2589-2620","_id":"45957","publisher":"Oxford University Press (OUP)","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>","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} }","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.","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>.","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>","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>."}},{"publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"full_name":"Nick, Jörg","first_name":"Jörg","last_name":"Nick"},{"last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"}],"year":"2021","title":"Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations","intvolume":"       147","date_updated":"2024-04-03T09:18:52Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s00211-021-01196-6","publication":"Numerische Mathematik","issue":"4","date_created":"2023-07-10T11:44:25Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","status":"public","_id":"45961","publisher":"Springer Science and Business Media LLC","page":"997-1000","volume":147,"user_id":"100441","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>","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} }","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>.","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>.","short":"J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.","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>","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>."}},{"issue":"3","publication":"Numerische Mathematik","keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:43:59Z","date_updated":"2024-04-03T09:19:20Z","publication_status":"published","intvolume":"       149","year":"2021","title":"A convergent evolving finite element algorithm for Willmore flow of closed surfaces","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"full_name":"Kovács, Balázs","last_name":"Kovács","first_name":"Balázs"},{"last_name":"Li","first_name":"Buyang","full_name":"Li, Buyang"},{"full_name":"Lubich, Christian","first_name":"Christian","last_name":"Lubich"}],"doi":"10.1007/s00211-021-01238-z","language":[{"iso":"eng"}],"citation":{"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>","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>.","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>.","short":"B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.","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>.","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>","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} }"},"status":"public","user_id":"100441","volume":149,"page":"595-643","publisher":"Springer Science and Business Media LLC","_id":"45959"},{"language":[{"iso":"eng"}],"article_number":"113061","doi":"10.1016/j.cam.2020.113061","author":[{"id":"42608","full_name":"Hesse, Kerstin","last_name":"Hesse","orcid":"0000-0003-4125-1941","first_name":"Kerstin"},{"last_name":"Sloan","first_name":"Ian H.","full_name":"Sloan, Ian H."},{"first_name":"Robert S.","last_name":"Womersley","full_name":"Womersley, Robert S."}],"publication_identifier":{"issn":["0377-0427"]},"title":"Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data","year":"2021","intvolume":"       382","date_updated":"2024-04-03T11:04:23Z","publication_status":"published","date_created":"2022-12-20T17:26:44Z","department":[{"_id":"10"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"publication":"Journal of Computational and Applied Mathematics","publisher":"Elsevier BV","_id":"34629","volume":382,"user_id":"49063","status":"public","citation":{"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} }","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>","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>.","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>.","short":"K. Hesse, I.H. Sloan, R.S. Womersley, Journal of Computational and Applied Mathematics 382 (2021).","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>.","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>"}},{"date_updated":"2024-04-03T11:39:37Z","status":"public","year":"2021","title":"Betriebliche Weiterbildungskulturen in Zeiten der Digitalisierung – Eine Analyse mit Daten des BIBB-Qualifizierungspanels. ","author":[{"id":"105654","orcid":"0000-0003-0170-7713","last_name":"Krause","first_name":"Ina","full_name":"Krause, Ina"},{"last_name":"Gerhards","first_name":"Christian","full_name":"Gerhards, Christian"}],"user_id":"105654","editor":[{"full_name":"Schemmann, Michael ","last_name":"Schemmann","first_name":"Michael "}],"main_file_link":[{"open_access":"1","url":"https://www.wbv.de/shop/openaccess-download/6004675w006"}],"language":[{"iso":"eng"}],"_id":"53176","publication":"Internationales Jahrbuch für Erwachsenenbildung 2022: Optimierung in der Weiterbildung","citation":{"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.","short":"I. Krause, C. Gerhards, in: M. Schemmann (Ed.), Internationales Jahrbuch Für Erwachsenenbildung 2022: Optimierung in Der Weiterbildung, 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>.","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.","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.","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} }","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."},"type":"book_chapter","oa":"1","date_created":"2024-04-03T11:38:54Z"},{"publication":"Compositio Mathematica","issue":"12","abstract":[{"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>","lang":"eng"}],"date_created":"2024-04-03T16:58:55Z","keyword":["Algebra and Number Theory"],"type":"journal_article","author":[{"full_name":"Dimitrov, Mladen","last_name":"Dimitrov","first_name":"Mladen"},{"full_name":"Januszewski, Fabian","last_name":"Januszewski","first_name":"Fabian","id":"81636"},{"last_name":"Raghuram","first_name":"A.","full_name":"Raghuram, A."}],"publication_identifier":{"issn":["0010-437X","1570-5846"]},"year":"2021","title":"L-functions of GL(2n): p-adic properties and non-vanishing of twists","article_type":"original","intvolume":"       156","publication_status":"published","date_updated":"2024-04-03T17:13:25Z","language":[{"iso":"eng"}],"doi":"10.1112/s0010437x20007551","citation":{"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>.","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>","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>.","short":"M. Dimitrov, F. Januszewski, A. Raghuram, Compositio Mathematica 156 (2021) 2437–2468.","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>.","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} }","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>"},"status":"public","publisher":"Wiley","_id":"53192","page":"2437-2468","volume":156,"user_id":"81636"},{"citation":{"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>.","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>","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} }","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>","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>.","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>.","short":"F. Januszewski, Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (2021) 68–72."},"status":"public","publisher":"Walter de Gruyter GmbH","_id":"53199","page":"68-72","volume":29,"user_id":"81636","issue":"2","publication":"Mitteilungen der Deutschen Mathematiker-Vereinigung","date_created":"2024-04-03T17:21:35Z","type":"journal_article","keyword":["Earth-Surface Processes"],"author":[{"id":"81636","full_name":"Januszewski, Fabian","orcid":"0000-0002-3184-237X","last_name":"Januszewski","first_name":"Fabian"}],"publication_identifier":{"issn":["0942-5977","0947-4471"]},"year":"2021","title":"Von ganzen Zahlen zu L-Funktionen","article_type":"review","intvolume":"        29","publication_status":"published","date_updated":"2024-04-03T17:22:10Z","language":[{"iso":"ger"}],"doi":"10.1515/dmvm-2021-0027"},{"date_created":"2024-04-05T09:27:22Z","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"230"}],"type":"report","citation":{"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>","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.","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>.","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.","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>.","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>","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} }"},"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."}],"_id":"53290","publisher":"LibreCat University","language":[{"iso":"eng"}],"doi":"10.5281/ZENODO.5774985","user_id":"16199","author":[{"full_name":"Rose, H.","first_name":"H.","last_name":"Rose"},{"full_name":"Vasil'ev, A.N.","last_name":"Vasil'ev","first_name":"A.N."},{"full_name":"Tikhonova, O.V.","first_name":"O.V.","last_name":"Tikhonova"},{"id":"344","full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten"},{"id":"60286","first_name":"Polina R.","last_name":"Sharapova","full_name":"Sharapova, Polina R."}],"title":"Excitation of an electronic band structure by a single-photon Fock state","year":"2021","status":"public","date_updated":"2024-04-05T09:58:46Z"},{"publication_identifier":{"issn":["2169-3536"]},"author":[{"full_name":"Soleymani, Mohammad","first_name":"Mohammad","last_name":"Soleymani"},{"full_name":"Santamaria, Ignacio","first_name":"Ignacio","last_name":"Santamaria"},{"last_name":"Schreier","first_name":"Peter J.","full_name":"Schreier, Peter J."}],"title":"Distributed Algorithms for Spectral and Energy-Efficiency Maximization of <i>K</i>-User Interference Channels","year":"2021","intvolume":"         9","date_updated":"2024-04-05T13:20:18Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1109/access.2021.3094976","publication":"IEEE Access","date_created":"2024-04-05T09:04:50Z","department":[{"_id":"263"}],"type":"journal_article","keyword":["General Engineering","General Materials Science","General Computer Science"],"status":"public","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","_id":"53268","page":"96948-96963","volume":9,"user_id":"67076","citation":{"short":"M. Soleymani, I. Santamaria, P.J. Schreier, IEEE Access 9 (2021) 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>.","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} }","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>","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>."}},{"author":[{"id":"22671","full_name":"Hoppe, Thomas","last_name":"Hoppe","first_name":"Thomas"},{"full_name":"Schanz, Debora","last_name":"Schanz","first_name":"Debora"},{"full_name":"Sturm, Susann","first_name":"Susann","last_name":"Sturm"},{"id":"530","last_name":"Sureth-Sloane","first_name":"Caren","orcid":" 0000-0002-8183-5901","full_name":"Sureth-Sloane, Caren"}],"year":"2021","status":"public","title":"The Tax Complexity Index – A Survey-Based Country Measure of Tax Code and Framework Complexity","date_updated":"2024-04-08T11:28:56Z","language":[{"iso":"eng"}],"_id":"17514","series_title":"TRR 266 Accounting for Transparency Working Paper Series No. 5","main_file_link":[{"open_access":"1","url":"https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3469663"}],"doi":"10.2139/ssrn.3469663","user_id":"530","citation":{"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>.","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} }","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>","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.","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>","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.","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>."},"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."}],"date_created":"2020-07-31T10:58:34Z","oa":"1","department":[{"_id":"635"}],"type":"working_paper"},{"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. "}],"citation":{"short":"E. Eberhartinger, R. Speitmann, C. Sureth-Sloane, Banks’ Tax Disclosure, Financial Secrecy, and Tax Haven Heterogeneitys, 2021.","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.","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 } }","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>","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>."},"type":"working_paper","oa":"1","date_created":"2021-09-17T13:37:32Z","publication_status":"published","date_updated":"2024-04-08T11:31:02Z","status":"public","title":"Banks’ tax disclosure, financial secrecy, and tax haven heterogeneitys","year":"2021","author":[{"first_name":"Eva","last_name":"Eberhartinger","full_name":"Eberhartinger, Eva"},{"full_name":"Speitmann, Raffael","last_name":"Speitmann","first_name":"Raffael"},{"id":"530","full_name":"Sureth-Sloane, Caren","first_name":"Caren","last_name":"Sureth-Sloane","orcid":" 0000-0002-8183-5901"}],"user_id":"530","doi":"10.2139/ssrn.3523909","main_file_link":[{"open_access":"1","url":"https://ssrn.com/abstract=3523909"}],"series_title":"WU International Taxation Research Paper Series No. #2020-01 ","_id":"24676","language":[{"iso":"eng"}]},{"citation":{"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.","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>","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.","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>.","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>.","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} }","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>"},"date_created":"2021-09-17T13:34:03Z","oa":"1","type":"working_paper","publication_identifier":{"issn":["1556-5068"]},"author":[{"full_name":"Diller, Markus","last_name":"Diller","first_name":"Markus"},{"last_name":"Lorenz","first_name":"Johannes","full_name":"Lorenz, Johannes"},{"full_name":"Schneider, Georg Thomas","last_name":"Schneider","first_name":"Georg Thomas"},{"full_name":"Sureth-Sloane, Caren","first_name":"Caren","orcid":" 0000-0002-8183-5901","last_name":"Sureth-Sloane","id":"530"}],"title":"Is Transfer Pricing Harmonization the Panacea? Reporting Transparency, Standards Consistency, and Tax Avoidance","year":"2021","status":"public","date_updated":"2024-04-08T11:34:37Z","publication_status":"published","_id":"24674","language":[{"iso":"eng"}],"main_file_link":[{"url":"http://dx.doi.org/10.2139/ssrn.3895611 ","open_access":"1"}],"doi":"10.2139/ssrn.3895611","user_id":"530"},{"date_created":"2021-09-17T11:27:20Z","oa":"1","type":"working_paper","citation":{"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>.","short":"J. Lorenz, M. Diller, C. Sureth-Sloane, The Epidemiology of Tax Avoidance Narratives, 2021.","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>","ieee":"J. Lorenz, M. Diller, and C. Sureth-Sloane, <i>The Epidemiology of Tax Avoidance Narratives</i>. 2021.","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>","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} }","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>."},"language":[{"iso":"eng"}],"_id":"24661","main_file_link":[{"open_access":"1"}],"doi":"10.2139/ssrn.2992732","user_id":"530","author":[{"first_name":"Johannes","last_name":"Lorenz","full_name":"Lorenz, Johannes"},{"full_name":"Diller, Markus","last_name":"Diller","first_name":"Markus"},{"id":"530","full_name":"Sureth-Sloane, Caren","first_name":"Caren","orcid":" 0000-0002-8183-5901","last_name":"Sureth-Sloane"}],"publication_identifier":{"issn":["1556-5068"]},"year":"2021","status":"public","title":"The Epidemiology of Tax Avoidance Narratives","date_updated":"2024-04-08T11:33:34Z","publication_status":"published"},{"date_created":"2022-06-20T08:37:52Z","type":"journal_article","keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"department":[{"_id":"548"}],"publication":"Annales Henri Poincaré","issue":"11","language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01068-7","title":"Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds","year":"2021","publication_identifier":{"issn":["1424-0637","1424-0661"]},"author":[{"full_name":"Guillarmou, Colin","last_name":"Guillarmou","first_name":"Colin"},{"full_name":"Küster, Benjamin","first_name":"Benjamin","last_name":"Küster"}],"date_updated":"2024-04-11T12:39:23Z","publication_status":"published","intvolume":"        22","citation":{"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>.","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>","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>.","short":"C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617.","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>.","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} }","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>"},"page":"3565-3617","publisher":"Springer Science and Business Media LLC","_id":"32006","user_id":"70575","volume":22,"status":"public"},{"title":"Polynomials vanishing at lattice points in a convex set","year":"2021","status":"public","author":[{"full_name":"Gundlach, Fabian","last_name":"Gundlach","first_name":"Fabian","id":"100450"}],"date_updated":"2024-04-11T12:50:48Z","language":[{"iso":"eng"}],"_id":"53420","user_id":"100450","publication":"arXiv:2107.05353","citation":{"mla":"Gundlach, Fabian. “Polynomials Vanishing at Lattice Points in a Convex Set.” <i>ArXiv:2107.05353</i>, 2021.","ama":"Gundlach F. Polynomials vanishing at lattice points in a convex set. <i>arXiv:210705353</i>. Published online 2021.","bibtex":"@article{Gundlach_2021, title={Polynomials vanishing at lattice points in a convex set}, journal={arXiv:2107.05353}, author={Gundlach, Fabian}, year={2021} }","apa":"Gundlach, F. (2021). Polynomials vanishing at lattice points in a convex set. In <i>arXiv:2107.05353</i>.","ieee":"F. Gundlach, “Polynomials vanishing at lattice points in a convex set,” <i>arXiv:2107.05353</i>. 2021.","chicago":"Gundlach, Fabian. “Polynomials Vanishing at Lattice Points in a Convex Set.” <i>ArXiv:2107.05353</i>, 2021.","short":"F. Gundlach, ArXiv:2107.05353 (2021)."},"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."}],"extern":"1","external_id":{"arxiv":["2107.05353"]},"date_created":"2024-04-11T12:43:04Z","type":"preprint"}]