[{"publication":"J. Europ. Math. Soc.","file":[{"access_level":"open_access","file_name":"2007.14275.pdf","file_id":"32102","file_size":796410,"creator":"weich","date_created":"2022-06-22T09:56:47Z","date_updated":"2022-06-22T09:56:47Z","relation":"main_file","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"ddc":["510"],"issue":"8","year":"2024","date_created":"2022-06-22T09:56:51Z","title":"Ruelle-Taylor resonances of Anosov actions","type":"journal_article","status":"public","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"user_id":"49178","_id":"32101","file_date_updated":"2022-06-22T09:56:47Z","has_accepted_license":"1","publication_status":"published","intvolume":"        27","page":"3085–3147","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>","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>.","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>.","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>","short":"T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. 27 (2024) 3085–3147.","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>.","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} }"},"volume":27,"author":[{"id":"49178","full_name":"Weich, Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias"},{"first_name":"Yannick","last_name":"Guedes Bonthonneau","full_name":"Guedes Bonthonneau, Yannick"},{"first_name":"Colin","full_name":"Guillarmou, Colin","last_name":"Guillarmou"},{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"}],"date_updated":"2026-02-18T10:33:34Z","oa":"1","doi":"https://doi.org/10.4171/JEMS/1428"},{"type":"journal_article","status":"public","_id":"31210","user_id":"49063","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"publication_status":"published","publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"citation":{"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>.","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>.","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>","short":"C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.","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} }","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>.","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>"},"page":"335-403","intvolume":"        10","date_updated":"2024-02-19T06:30:26Z","author":[{"first_name":"Christian","last_name":"Arends","full_name":"Arends, Christian","id":"43994"},{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"volume":10,"doi":"10.5802/jep.220","publication":"Journal de l’École polytechnique — Mathématiques","abstract":[{"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.","lang":"eng"}],"external_id":{"arxiv":["2112.11073"]},"keyword":["Ruelle resonances","Poisson transforms","locally symmetric spaces","principal series representations"],"language":[{"iso":"eng"}],"year":"2023","date_created":"2022-05-11T12:27:00Z","title":"Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters"},{"year":"2023","quality_controlled":"1","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","date_created":"2022-12-21T19:31:13Z","publication":"Journal of Differential Equations","language":[{"iso":"eng"}],"keyword":["22E65","28B05","34A12","34H05","46E30","46E40"],"external_id":{"arxiv":["2007.11277"]},"page":"186–232","intvolume":"       343","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>","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>.","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>","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>.","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} }","short":"H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232."},"publication_identifier":{"issn":["0022-0396"]},"doi":"10.1016/j.jde.2022.10.001","volume":343,"author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"},{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"date_updated":"2024-03-22T16:02:32Z","status":"public","type":"journal_article","article_type":"original","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"},{"_id":"91"}],"user_id":"178","_id":"34793"},{"user_id":"49178","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"_id":"31190","status":"public","type":"journal_article","doi":"https://doi.org/10.2140/apde.2023.16.2241","author":[{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"},{"orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias"},{"first_name":"Lasse Lennart","last_name":"Wolf","orcid":"0000-0001-8893-2045","id":"45027","full_name":"Wolf, Lasse Lennart"}],"volume":16,"date_updated":"2026-02-18T10:39:36Z","citation":{"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>.","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>","short":"J. Hilgert, T. Weich, L.L. Wolf, Analysis &#38; PDE 16 (2023) 2241–2265.","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} }","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>."},"page":"2241–2265","intvolume":"        16","language":[{"iso":"eng"}],"external_id":{"arxiv":["2103.05667"]},"abstract":[{"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 $G/K$.","lang":"eng"}],"publication":"Analysis & PDE","title":"Higher rank quantum-classical correspondence","date_created":"2022-05-11T10:41:35Z","publisher":"MSP","year":"2023","issue":"10"},{"page":"335-403","intvolume":"        10","citation":{"short":"J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 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} }","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.","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.","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.","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.","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."},"year":"2023","publication_status":"published","title":"Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters","volume":10,"author":[{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"},{"full_name":"Arends, C.","last_name":"Arends","first_name":"C."}],"date_created":"2024-02-19T06:34:11Z","date_updated":"2026-03-31T08:26:09Z","status":"public","publication":"J. de l'École polytechnique — Mathématiques","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"91"}],"user_id":"220","_id":"51383"},{"department":[{"_id":"91"}],"user_id":"220","_id":"51384","language":[{"iso":"eng"}],"publication":"J. Diff. Equations","type":"journal_article","status":"public","volume":343,"author":[{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"},{"first_name":"H.","full_name":"Glöckner, H.","last_name":"Glöckner"}],"date_created":"2024-02-19T06:35:08Z","date_updated":"2026-03-31T08:25:53Z","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","publication_status":"published","intvolume":"       343","page":"186-232","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.","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.","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.","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.","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} }","short":"J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 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."},"year":"2023"},{"author":[{"full_name":"Bux, Kai-Uwe","last_name":"Bux","first_name":"Kai-Uwe"},{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"},{"first_name":"Tobias","full_name":"Weich, Tobias","id":"49178","orcid":"0000-0002-9648-6919","last_name":"Weich"}],"date_created":"2023-01-06T08:49:06Z","volume":12,"date_updated":"2024-02-19T06:28:12Z","publisher":"European Mathematical Society - EMS - Publishing House GmbH","doi":"10.4171/jst/414","title":"Poisson transforms for trees of bounded degree","issue":"2","publication_status":"published","publication_identifier":{"issn":["1664-039X"]},"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>","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>.","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} }","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."},"intvolume":"        12","page":"659-681","year":"2022","user_id":"49063","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"_id":"35322","language":[{"iso":"eng"}],"keyword":["Geometry and Topology","Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","publication":"Journal of Spectral Theory","status":"public"},{"type":"review","publication":"Mathematische Semesterberichte","status":"public","_id":"51554","user_id":"49063","department":[{"_id":"91"}],"language":[{"iso":"eng"}],"publication_status":"published","year":"2022","citation":{"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.","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} }","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>","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>.","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>"},"page":"151–153","intvolume":"        69","date_updated":"2024-02-20T09:52:53Z","author":[{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"}],"date_created":"2024-02-20T09:49:04Z","volume":69,"title":"Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021","doi":"10.1007/s00591-021-00314-7"},{"user_id":"220","department":[{"_id":"91"}],"_id":"51385","language":[{"iso":"eng"}],"type":"journal_article","publication":"J. of Spectral Theory","status":"public","date_created":"2024-02-19T06:36:17Z","author":[{"full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert","first_name":"Joachim"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias","id":"49178"},{"first_name":"K.-U.","last_name":"Bux","full_name":"Bux, K.-U."}],"volume":12,"date_updated":"2026-03-31T08:25:35Z","title":"Poisson transforms for trees of bounded degree","publication_status":"published","citation":{"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} }","short":"J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.","mla":"Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.” <i>J. of Spectral Theory</i>, vol. 12, 2022, pp. 659–81.","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.","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.","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.","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."},"intvolume":"        12","page":"659-681","year":"2022"},{"intvolume":"         4","page":"81-119","citation":{"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>","short":"C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.","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>.","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} }","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>.","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>.","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>"},"publication_identifier":{"issn":["2644-9463"]},"publication_status":"published","doi":"10.5802/ahl.67","volume":4,"author":[{"full_name":"Guillarmou, Colin","last_name":"Guillarmou","first_name":"Colin"},{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"},{"first_name":"Tobias","full_name":"Weich, Tobias","id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919"}],"date_updated":"2024-02-19T06:27:43Z","status":"public","type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"user_id":"49063","_id":"31263","year":"2021","title":"High frequency limits for invariant Ruelle densities","date_created":"2022-05-17T12:05:17Z","publisher":"Cellule MathDoc/CEDRAM","publication":"Annales Henri Lebesgue","language":[{"iso":"eng"}],"external_id":{"arxiv":["1803.06717"]}},{"publisher":"Heldermann Verlag","date_updated":"2024-02-19T06:27:09Z","volume":31,"date_created":"2023-01-12T08:23:28Z","author":[{"last_name":"Brennecken","id":"55911","full_name":"Brennecken, Dominik","first_name":"Dominik"},{"last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim"},{"first_name":"Lorenzo","full_name":"Ciardo, Lorenzo","last_name":"Ciardo"}],"title":"Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)","doi":"10.48550/arXiv.2008.07479","publication_status":"published","issue":"2","year":"2021","page":"459--468","intvolume":"        31","citation":{"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} }","short":"D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.","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>.","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>","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>","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>.","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>."},"_id":"36271","department":[{"_id":"555"},{"_id":"91"}],"user_id":"49063","language":[{"iso":"eng"}],"publication":"Journal of Lie Theory","type":"journal_article","status":"public"},{"status":"public","publication":"Mathematische Semesterberichte","type":"review","language":[{"iso":"eng"}],"_id":"51556","department":[{"_id":"91"}],"user_id":"49063","year":"2021","intvolume":"        68","page":"171–173","citation":{"short":"J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.","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>.","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} }","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>","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>.","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>.","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>"},"publication_status":"published","title":"Philip Ording: 99 Variations on a Proof. Princeton University Press 2019","doi":"10.1007/s00591-021-00295-7","date_updated":"2024-02-20T10:03:43Z","volume":68,"author":[{"last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim"}],"date_created":"2024-02-20T09:52:08Z"},{"title":"Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020","doi":"10.1007/s00591-021-00296-6","date_updated":"2024-02-20T10:14:56Z","volume":68,"author":[{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"}],"date_created":"2024-02-20T09:50:31Z","year":"2021","intvolume":"        68","page":"175–177","citation":{"short":"J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.","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} }","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>.","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>","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>","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>.","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>."},"publication_status":"published","language":[{"iso":"ger"}],"_id":"51555","department":[{"_id":"91"}],"user_id":"49063","status":"public","publication":"Mathematische Semesterberichte","type":"review"},{"publication_status":"published","publication_identifier":{"issn":["2198-9745","2198-9753"]},"issue":"1","year":"2021","citation":{"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} }","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.","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>.","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>","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>."},"page":"94-120","intvolume":"         8","date_updated":"2024-04-18T10:09:08Z","publisher":"Springer Science and Business Media LLC","date_created":"2023-01-10T09:09:23Z","author":[{"orcid":"0000-0003-2646-085X","last_name":"Schürmann","id":"59707","full_name":"Schürmann, Mirko","first_name":"Mirko"},{"full_name":"Panse, Anja","last_name":"Panse","first_name":"Anja"},{"last_name":"Shaikh","full_name":"Shaikh, Zain","first_name":"Zain"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"first_name":"Niclas","last_name":"Schaper","full_name":"Schaper, Niclas"},{"last_name":"Liebendörfer","orcid":"0000-0001-9887-2074","id":"30933","full_name":"Liebendörfer, Michael","first_name":"Michael"},{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"}],"volume":8,"title":"Consultation Phases in Mathematics Learning and Support Centres","doi":"10.1007/s40753-021-00154-9","type":"journal_article","publication":"International Journal of Research in Undergraduate Mathematics Education","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>"}],"status":"public","_id":"35702","user_id":"37888","department":[{"_id":"363"},{"_id":"423"},{"_id":"91"},{"_id":"625"}],"keyword":["Education","Mathematics (miscellaneous)"],"language":[{"iso":"eng"}]},{"status":"public","type":"book","language":[{"iso":"ger"}],"_id":"51493","user_id":"220","department":[{"_id":"91"}],"year":"2021","citation":{"apa":"Hilgert, J., &#38; Hilgert, I. (2021). <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum.","mla":"Hilgert, Joachim, and Ingrid Hilgert. <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum, 2021.","bibtex":"@book{Hilgert_Hilgert_2021, title={Mathematik - Ein Reiseführer 2. Auflage}, publisher={Springer Spektrum}, author={Hilgert, Joachim and Hilgert, Ingrid}, year={2021} }","short":"J. Hilgert, I. Hilgert, Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.","ama":"Hilgert J, Hilgert I. <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum; 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."},"publication_status":"published","title":"Mathematik - Ein Reiseführer 2. Auflage","date_updated":"2024-08-08T07:49:11Z","publisher":"Springer Spektrum","author":[{"full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert","first_name":"Joachim"},{"full_name":"Hilgert, Ingrid","last_name":"Hilgert","first_name":"Ingrid"}],"date_created":"2024-02-19T10:21:25Z"},{"status":"public","type":"journal_article","publication":"J. of Lie Theory","language":[{"iso":"eng"}],"user_id":"49063","department":[{"_id":"91"}],"_id":"51386","citation":{"short":"J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.","mla":"Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J. of Lie Theory</i>, vol. 30, 2020, pp. 315–44.","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} }","apa":"Hilgert, J., &#38; Barnum, H. (2020). Spectral Properties of Convex Bodies. <i>J. of Lie Theory</i>, <i>30</i>, 315–344.","ama":"Hilgert J, Barnum H. Spectral Properties of Convex Bodies. <i>J of Lie Theory</i>. 2020;30:315-344.","ieee":"J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” <i>J. of Lie Theory</i>, vol. 30, pp. 315–344, 2020.","chicago":"Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J. of Lie Theory</i> 30 (2020): 315–44."},"page":"315-344","intvolume":"        30","year":"2020","publication_status":"published","title":"Spectral Properties of Convex Bodies","date_created":"2024-02-19T06:37:21Z","author":[{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"},{"full_name":"Barnum, H.","last_name":"Barnum","first_name":"H."}],"volume":30,"date_updated":"2024-02-19T06:39:48Z"},{"language":[{"iso":"eng"}],"_id":"51559","department":[{"_id":"91"}],"user_id":"49063","status":"public","publication":"Mathematische Semesterberichte","type":"review","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. 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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>.","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>","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>.","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} }","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.","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>"},"publication_status":"published"},{"user_id":"49063","department":[{"_id":"91"}],"_id":"51557","language":[{"iso":"eng"}],"type":"review","publication":"Mathematische Semesterberichte","status":"public","date_created":"2024-02-20T09:53:55Z","author":[{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"}],"volume":67,"date_updated":"2024-02-20T10:03:46Z","doi":"10.1007/s00591-020-00283-3","title":"Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020","publication_status":"published","citation":{"ieee":"J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. 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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} }","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. 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