--- _id: '32101' author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Yannick full_name: Guedes Bonthonneau, Yannick last_name: Guedes Bonthonneau - first_name: Colin full_name: Guillarmou, Colin last_name: Guillarmou - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces of Anosov actions. J Europ Math Soc. Published online 2024:1-36. apa: Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36. bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor resonaces of Anosov actions}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024}, pages={1–36} }' chicago: Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, 1–36. ieee: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024. mla: Weich, Tobias, et al. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, pp. 1–36. short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36. date_created: 2022-06-22T09:56:51Z date_updated: 2024-02-19T06:25:13Z ddc: - '510' department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' file: - access_level: open_access content_type: application/pdf creator: weich date_created: 2022-06-22T09:56:47Z date_updated: 2022-06-22T09:56:47Z file_id: '32102' file_name: 2007.14275.pdf file_size: 796410 relation: main_file file_date_updated: 2022-06-22T09:56:47Z has_accepted_license: '1' language: - iso: eng oa: '1' page: 1-36 publication: J. Europ. Math. Soc. publication_status: published status: public title: Ruelle-Taylor resonaces of Anosov actions type: journal_article user_id: '49063' year: '2024' ... --- _id: '51501' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces. Published online 2024. apa: Hilgert, J. (2024). Quantum-Classical Correspondences for Locally Symmetric Spaces. bibtex: '@article{Hilgert_2024, title={Quantum-Classical Correspondences for Locally Symmetric Spaces}, author={Hilgert, Joachim}, year={2024} }' chicago: Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric Spaces,” 2024. ieee: J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.” 2024. mla: Hilgert, Joachim. Quantum-Classical Correspondences for Locally Symmetric Spaces. 2024. short: J. Hilgert, (2024). date_created: 2024-02-19T10:31:51Z date_updated: 2024-02-19T10:32:07Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2303.00578.pdf oa: '1' publication_status: published status: public title: Quantum-Classical Correspondences for Locally Symmetric Spaces type: preprint user_id: '49063' year: '2024' ... --- _id: '31190' abstract: - lang: eng text: "For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$ of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions of the algebra of invariant differential\r\noperators on $G/K$." author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: ama: Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265. apa: Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical correspondence. Analysis & PDE, 16(10), 2241–2265. bibtex: '@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, number={10}, journal={Analysis & PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }' chicago: 'Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265.' ieee: J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023. mla: Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE, vol. 16, no. 10, MSP, 2023, pp. 2241–2265. short: J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265. date_created: 2022-05-11T10:41:35Z date_updated: 2024-02-19T06:29:52Z department: - _id: '10' - _id: '548' - _id: '91' external_id: arxiv: - '2103.05667' intvolume: ' 16' issue: '10' language: - iso: eng page: 2241–2265 publication: Analysis & PDE publisher: MSP status: public title: Higher rank quantum-classical correspondence type: journal_article user_id: '49063' volume: 16 year: '2023' ... --- _id: '51205' abstract: - lang: eng text: "We compare the spectral properties of two kinds of linear operators\r\ncharacterizing the (classical) geodesic flow and its quantization on connected\r\nlocally finite graphs without dead ends. The first kind are transfer operators\r\nacting on vector spaces associated with the set of non backtracking paths in\r\nthe graphs. The second kind of operators are averaging operators acting on\r\nvector spaces associated with the space of vertices of the graph. The choice of\r\nvector spaces reflects regularity properties. Our main results are\r\ncorrespondences between classical and quantum spectral objects as well as some\r\nautomatic regularity properties for eigenfunctions of transfer operators." author: - first_name: Kai-Uwe full_name: Bux, Kai-Uwe last_name: Bux - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. arXiv:230710876. Published online 2023. apa: Bux, K.-U., Hilgert, J., & Weich, T. (2023). Spectral correspondences for finite graphs without dead ends. In arXiv:2307.10876. bibtex: '@article{Bux_Hilgert_Weich_2023, title={Spectral correspondences for finite graphs without dead ends}, journal={arXiv:2307.10876}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2023} }' chicago: Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023. ieee: K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” arXiv:2307.10876. 2023. mla: Bux, Kai-Uwe, et al. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023. short: K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023). date_created: 2024-02-06T20:54:28Z date_updated: 2024-02-19T06:29:24Z department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' external_id: arxiv: - '2307.10876' language: - iso: eng publication: arXiv:2307.10876 status: public title: Spectral correspondences for finite graphs without dead ends type: preprint user_id: '49063' year: '2023' ... --- _id: '31210' abstract: - lang: eng text: "In this paper we complete the program of relating the Laplace spectrum for\r\nrank one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset of exceptional spectral parameters always left untreated since the\r\ncorresponding Poisson transforms are neither injective nor surjective. We use\r\nvector valued Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces the exceptional spectral parameters lead to discrete\r\nseries representations of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more complicated, but can be described completely." author: - first_name: Christian full_name: Arends, Christian id: '43994' last_name: Arends - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École polytechnique — Mathématiques. 2023;10:335-403. doi:10.5802/jep.220' apa: 'Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220' bibtex: '@article{Arends_Hilgert_2023, title={Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters}, volume={10}, DOI={10.5802/jep.220}, journal={Journal de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert, Joachim}, year={2023}, pages={335–403} }' chicago: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.' ieee: 'C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.' mla: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.' short: C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403. date_created: 2022-05-11T12:27:00Z date_updated: 2024-02-19T06:30:26Z department: - _id: '10' - _id: '548' - _id: '91' doi: 10.5802/jep.220 external_id: arxiv: - '2112.11073' intvolume: ' 10' keyword: - Ruelle resonances - Poisson transforms - locally symmetric spaces - principal series representations language: - iso: eng page: 335-403 publication: Journal de l’École polytechnique — Mathématiques publication_identifier: eissn: - 2270-518X issn: - 2429-7100 publication_status: published status: public title: 'Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters' type: journal_article user_id: '49063' volume: 10 year: '2023' ... --- _id: '51383' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: C. full_name: Arends, C. last_name: Arends citation: ama: Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J de l’École polytechnique — Mathématiques. 2023;10:335-403. apa: Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J. de l’École Polytechnique — Mathématiques, 10, 335–403. bibtex: '@article{Hilgert_Arends_2023, title={Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters}, volume={10}, journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim and Arends, C.}, year={2023}, pages={335–403} }' chicago: 'Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique — Mathématiques 10 (2023): 335–403.' ieee: J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters,” J. de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023. mla: Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403. short: J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403. date_created: 2024-02-19T06:34:11Z date_updated: 2024-02-19T06:34:16Z department: - _id: '91' intvolume: ' 10' language: - iso: eng page: 335-403 publication: J. de l'École polytechnique — Mathématiques publication_status: published status: public title: Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters type: journal_article user_id: '49063' volume: 10 year: '2023' ... --- _id: '51384' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: H. full_name: Glöckner, H. last_name: Glöckner citation: ama: Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J Diff Equations. 2023;343:186-232. apa: Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232. bibtex: '@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert, Joachim and Glöckner, H.}, year={2023}, pages={186–232} }' chicago: 'Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.' ieee: J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232, 2023. mla: Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations, vol. 343, 2023, pp. 186–232. short: J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232. date_created: 2024-02-19T06:35:08Z date_updated: 2024-02-19T06:35:13Z department: - _id: '91' intvolume: ' 343' language: - iso: eng page: 186-232 publication: J. Diff. Equations publication_status: published status: public title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds type: journal_article user_id: '49063' volume: 343 year: '2023' ... --- _id: '51499' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: C. full_name: Arends, C. last_name: Arends - first_name: J. full_name: Frahm, J. last_name: Frahm citation: ama: Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite regular graphs. Published online 2023. apa: Hilgert, J., Arends, C., & Frahm, J. (2023). A pairing formula for resonant states on finite regular graphs. bibtex: '@article{Hilgert_Arends_Frahm_2023, title={A pairing formula for resonant states on finite regular graphs}, author={Hilgert, Joachim and Arends, C. and Frahm, J.}, year={2023} }' chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “A Pairing Formula for Resonant States on Finite Regular Graphs,” 2023. ieee: J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states on finite regular graphs.” 2023. mla: Hilgert, Joachim, et al. A Pairing Formula for Resonant States on Finite Regular Graphs. 2023. short: J. Hilgert, C. Arends, J. Frahm, (2023). date_created: 2024-02-19T10:30:18Z date_updated: 2024-02-19T10:31:18Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2312.10509.pdf oa: '1' publication_status: published status: public title: A pairing formula for resonant states on finite regular graphs type: preprint user_id: '49063' year: '2023' ... --- _id: '51500' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: C. full_name: Arends, C. last_name: Arends - first_name: J. full_name: Frahm, J. last_name: Frahm citation: ama: Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms for graphs. Published online 2023. apa: Hilgert, J., Arends, C., & Frahm, J. (2023). Edge Laplacians and vector valued Poisson transforms for graphs. bibtex: '@article{Hilgert_Arends_Frahm_2023, title={Edge Laplacians and vector valued Poisson transforms for graphs}, author={Hilgert, Joachim and Arends, C. and Frahm, J.}, year={2023} }' chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector Valued Poisson Transforms for Graphs,” 2023. ieee: J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson transforms for graphs.” 2023. mla: Hilgert, Joachim, et al. Edge Laplacians and Vector Valued Poisson Transforms for Graphs. 2023. short: J. Hilgert, C. Arends, J. Frahm, (2023). date_created: 2024-02-19T10:31:14Z date_updated: 2024-02-19T10:31:18Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2312.09101.pdf oa: '1' publication_status: published status: public title: Edge Laplacians and vector valued Poisson transforms for graphs type: preprint user_id: '49063' year: '2023' ... --- _id: '51502' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: T. full_name: Baier, T. last_name: Baier - first_name: O. full_name: Kaya, O. last_name: Kaya - first_name: J. full_name: Mourao, J. last_name: Mourao - first_name: J. full_name: Nunes, J. last_name: Nunes citation: ama: Hilgert J, Baier T, Kaya O, Mourao J, Nunes J. Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. Published online 2023. apa: Hilgert, J., Baier, T., Kaya, O., Mourao, J., & Nunes, J. (2023). Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. bibtex: '@article{Hilgert_Baier_Kaya_Mourao_Nunes_2023, title={Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem}, author={Hilgert, Joachim and Baier, T. and Kaya, O. and Mourao, J. and Nunes, J.}, year={2023} }' chicago: Hilgert, Joachim, T. Baier, O. Kaya, J. Mourao, and J. Nunes. “Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem,” 2023. ieee: J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023. mla: Hilgert, Joachim, et al. Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem. 2023. short: J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023). date_created: 2024-02-19T10:33:16Z date_updated: 2024-02-19T10:33:20Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2301.10853.pdf oa: '1' publication_status: published status: public title: Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem type: preprint user_id: '49063' year: '2023' ... --- _id: '51521' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Y. full_name: Guedes Bonthonneau, Y. last_name: Guedes Bonthonneau - first_name: C. full_name: Guillarmou, C. last_name: Guillarmou - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances of Anosov actions. Published online 2023. apa: Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023). Ruelle-Taylor resonances of Anosov actions. bibtex: '@article{Hilgert_Guedes Bonthonneau_Guillarmou_Weich_2023, title={Ruelle-Taylor resonances of Anosov actions}, author={Hilgert, Joachim and Guedes Bonthonneau, Y. and Guillarmou, C. and Weich, Tobias}, year={2023} }' chicago: Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich. “Ruelle-Taylor Resonances of Anosov Actions,” 2023. ieee: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor resonances of Anosov actions.” 2023. mla: Hilgert, Joachim, et al. Ruelle-Taylor Resonances of Anosov Actions. 2023. short: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023). date_created: 2024-02-20T08:20:13Z date_updated: 2024-02-20T08:20:16Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2007.14275.pdf oa: '1' publication_status: published status: public title: Ruelle-Taylor resonances of Anosov actions type: preprint user_id: '49063' year: '2023' ... --- _id: '34793' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001 apa: Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations, 343, 186–232. https://doi.org/10.1016/j.jde.2022.10.001 bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }' chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 186–232. https://doi.org/10.1016/j.jde.2022.10.001.' ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.' mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001. short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232. date_created: 2022-12-21T19:31:13Z date_updated: 2024-03-22T16:02:32Z department: - _id: '10' - _id: '87' - _id: '93' - _id: '91' doi: 10.1016/j.jde.2022.10.001 external_id: arxiv: - '2007.11277' intvolume: ' 343' keyword: - '22E65' - 28B05 - 34A12 - 34H05 - '46E30' - '46E40' language: - iso: eng page: 186–232 publication: Journal of Differential Equations publication_identifier: issn: - 0022-0396 quality_controlled: '1' status: public title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds type: journal_article user_id: '178' volume: 343 year: '2023' ... --- _id: '35322' author: - first_name: Kai-Uwe full_name: Bux, Kai-Uwe last_name: Bux - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414 apa: Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414 bibtex: '@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of bounded degree}, volume={12}, DOI={10.4171/jst/414}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2022}, pages={659–681} }' chicago: 'Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022): 659–81. https://doi.org/10.4171/jst/414.' ieee: 'K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.' mla: Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory, vol. 12, no. 2, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 659–81, doi:10.4171/jst/414. short: K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681. date_created: 2023-01-06T08:49:06Z date_updated: 2024-02-19T06:28:12Z department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' doi: 10.4171/jst/414 intvolume: ' 12' issue: '2' keyword: - Geometry and Topology - Mathematical Physics - Statistical and Nonlinear Physics language: - iso: eng page: 659-681 publication: Journal of Spectral Theory publication_identifier: issn: - 1664-039X publication_status: published publisher: European Mathematical Society - EMS - Publishing House GmbH status: public title: Poisson transforms for trees of bounded degree type: journal_article user_id: '49063' volume: 12 year: '2022' ... --- _id: '51385' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: K.-U. full_name: Bux, K.-U. last_name: Bux citation: ama: Hilgert J, Weich T, Bux K-U. Poisson transforms for trees of bounded degree. J of Spectral Theory. 2022;12:659-681. apa: Hilgert, J., Weich, T., & Bux, K.-U. (2022). Poisson transforms for trees of bounded degree. J. of Spectral Theory, 12, 659–681. bibtex: '@article{Hilgert_Weich_Bux_2022, title={Poisson transforms for trees of bounded degree}, volume={12}, journal={J. of Spectral Theory}, author={Hilgert, Joachim and Weich, Tobias and Bux, K.-U.}, year={2022}, pages={659–681} }' chicago: 'Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory 12 (2022): 659–81.' ieee: J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded degree,” J. of Spectral Theory, vol. 12, pp. 659–681, 2022. mla: Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory, vol. 12, 2022, pp. 659–81. short: J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681. date_created: 2024-02-19T06:36:17Z date_updated: 2024-02-19T06:36:21Z department: - _id: '91' intvolume: ' 12' language: - iso: eng page: 659-681 publication: J. of Spectral Theory publication_status: published status: public title: Poisson transforms for trees of bounded degree type: journal_article user_id: '49063' volume: 12 year: '2022' ... --- _id: '51554' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Hilgert J. Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. Mathematische Semesterberichte. 2022;69:151–153. doi:10.1007/s00591-021-00314-7' apa: 'Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. In Mathematische Semesterberichte (Vol. 69, pp. 151–153). https://doi.org/10.1007/s00591-021-00314-7' bibtex: '@article{Hilgert_2022, title={Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021}, volume={69}, DOI={10.1007/s00591-021-00314-7}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2022}, pages={151–153} }' chicago: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, 2022. https://doi.org/10.1007/s00591-021-00314-7.' ieee: 'J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.' mla: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, vol. 69, 2022, pp. 151–153, doi:10.1007/s00591-021-00314-7.' short: J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153. date_created: 2024-02-20T09:49:04Z date_updated: 2024-02-20T09:52:53Z department: - _id: '91' doi: 10.1007/s00591-021-00314-7 intvolume: ' 69' language: - iso: eng page: 151–153 publication: Mathematische Semesterberichte publication_status: published status: public title: 'Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021' type: review user_id: '49063' volume: 69 year: '2022' ... --- _id: '35702' abstract: - lang: eng text: AbstractMathematics 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. author: - first_name: Mirko full_name: Schürmann, Mirko id: '59707' last_name: Schürmann orcid: 0000-0003-2646-085X - first_name: Anja full_name: Panse, Anja last_name: Panse - first_name: Zain full_name: Shaikh, Zain last_name: Shaikh - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Niclas full_name: Schaper, Niclas last_name: Schaper - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Schürmann M, Panse A, Shaikh Z, et al. Consultation Phases in Mathematics Learning and Support Centres. International Journal of Research in Undergraduate Mathematics Education. 2021;8(1):94-120. doi:10.1007/s40753-021-00154-9 apa: Schürmann, M., Panse, A., Shaikh, Z., Biehler, R., Schaper, N., Liebendörfer, M., & Hilgert, J. (2021). Consultation Phases in Mathematics Learning and Support Centres. International Journal of Research in Undergraduate Mathematics Education, 8(1), 94–120. https://doi.org/10.1007/s40753-021-00154-9 bibtex: '@article{Schürmann_Panse_Shaikh_Biehler_Schaper_Liebendörfer_Hilgert_2021, title={Consultation Phases in Mathematics Learning and Support Centres}, volume={8}, DOI={10.1007/s40753-021-00154-9}, number={1}, journal={International Journal of Research in Undergraduate Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Schürmann, Mirko and Panse, Anja and Shaikh, Zain and Biehler, Rolf and Schaper, Niclas and Liebendörfer, Michael and Hilgert, Joachim}, year={2021}, pages={94–120} }' chicago: 'Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper, Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics Learning and Support Centres.” International Journal of Research in Undergraduate Mathematics Education 8, no. 1 (2021): 94–120. https://doi.org/10.1007/s40753-021-00154-9.' ieee: 'M. Schürmann et al., “Consultation Phases in Mathematics Learning and Support Centres,” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.' mla: Schürmann, Mirko, et al. “Consultation Phases in Mathematics Learning and Support Centres.” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, Springer Science and Business Media LLC, 2021, pp. 94–120, doi:10.1007/s40753-021-00154-9. short: M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer, J. Hilgert, International Journal of Research in Undergraduate Mathematics Education 8 (2021) 94–120. date_created: 2023-01-10T09:09:23Z date_updated: 2024-02-19T06:26:14Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' - _id: '423' - _id: '91' doi: 10.1007/s40753-021-00154-9 intvolume: ' 8' issue: '1' keyword: - Education - Mathematics (miscellaneous) language: - iso: eng page: 94-120 publication: International Journal of Research in Undergraduate Mathematics Education publication_identifier: issn: - 2198-9745 - 2198-9753 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Consultation Phases in Mathematics Learning and Support Centres type: journal_article user_id: '49063' volume: 8 year: '2021' ... --- _id: '31263' author: - first_name: Colin full_name: Guillarmou, Colin last_name: Guillarmou - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue. 2021;4:81-119. doi:10.5802/ahl.67 apa: Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119. https://doi.org/10.5802/ahl.67 bibtex: '@article{Guillarmou_Hilgert_Weich_2021, title={High frequency limits for invariant Ruelle densities}, volume={4}, DOI={10.5802/ahl.67}, journal={Annales Henri Lebesgue}, publisher={Cellule MathDoc/CEDRAM}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2021}, pages={81–119} }' chicago: 'Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021): 81–119. https://doi.org/10.5802/ahl.67.' ieee: 'C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.' mla: Guillarmou, Colin, et al. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue, vol. 4, Cellule MathDoc/CEDRAM, 2021, pp. 81–119, doi:10.5802/ahl.67. short: C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119. date_created: 2022-05-17T12:05:17Z date_updated: 2024-02-19T06:27:43Z department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' doi: 10.5802/ahl.67 external_id: arxiv: - '1803.06717' intvolume: ' 4' language: - iso: eng page: 81-119 publication: Annales Henri Lebesgue publication_identifier: issn: - 2644-9463 publication_status: published publisher: Cellule MathDoc/CEDRAM status: public title: High frequency limits for invariant Ruelle densities type: journal_article user_id: '49063' volume: 4 year: '2021' ... --- _id: '36271' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Lorenzo full_name: Ciardo, Lorenzo last_name: Ciardo citation: ama: Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of Lie Theory. 2021;31(2):459--468. doi:10.48550/arXiv.2008.07479 apa: Brennecken, D., Hilgert, J., & Ciardo, L. (2021). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of Lie Theory, 31(2), 459--468. https://doi.org/10.48550/arXiv.2008.07479 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={10.48550/arXiv.2008.07479}, number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken, Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468} }' chicago: 'Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.' ieee: 'D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.' mla: Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory, vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi:10.48550/arXiv.2008.07479. short: D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468. date_created: 2023-01-12T08:23:28Z date_updated: 2024-02-19T06:27:09Z department: - _id: '555' - _id: '91' doi: 10.48550/arXiv.2008.07479 intvolume: ' 31' issue: '2' language: - iso: eng page: 459--468 publication: Journal of Lie Theory publication_status: published publisher: Heldermann Verlag status: public title: Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R) type: journal_article user_id: '49063' volume: 31 year: '2021' ... --- _id: '51493' citation: ama: Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum; 2021. apa: Hilgert, J., & Hilgert, I. (Eds.). (2021). Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum. bibtex: '@book{Hilgert_Hilgert_2021, title={Mathematik - Ein Reiseführer 2. Auflage}, publisher={Springer Spektrum}, year={2021} }' chicago: Hilgert, Joachim, and I. Hilgert, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021. ieee: J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021. mla: Hilgert, Joachim, and I. Hilgert, editors. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021. short: J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021. date_created: 2024-02-19T10:21:25Z date_updated: 2024-02-19T10:22:18Z department: - _id: '91' editor: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: I. full_name: Hilgert, I. last_name: Hilgert language: - iso: ger publication_status: published publisher: Springer Spektrum status: public title: Mathematik - Ein Reiseführer 2. Auflage type: book_editor user_id: '49063' year: '2021' ... --- _id: '51503' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: L. full_name: Wolf, L. last_name: Wolf citation: ama: Hilgert J, Weich T, Wolf L. Higher-rank quantum-classical correspondence. Published online 2021. apa: Hilgert, J., Weich, T., & Wolf, L. (2021). Higher-rank quantum-classical correspondence. bibtex: '@article{Hilgert_Weich_Wolf_2021, title={Higher-rank quantum-classical correspondence}, author={Hilgert, Joachim and Weich, Tobias and Wolf, L.}, year={2021} }' chicago: Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical Correspondence,” 2021. ieee: J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021. mla: Hilgert, Joachim, et al. Higher-Rank Quantum-Classical Correspondence. 2021. short: J. Hilgert, T. Weich, L. Wolf, (2021). date_created: 2024-02-19T10:34:28Z date_updated: 2024-02-19T10:34:32Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2103.05667.pdf oa: '1' publication_status: published status: public title: Higher-rank quantum-classical correspondence type: preprint user_id: '49063' year: '2021' ...