--- _id: '32097' 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 citation: ama: Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. Journal of Differential Geometry (to appear) --  arXiv:210312127. Published online 2024. apa: Weich, T., Guedes Bonthonneau, Y., & Guillarmou, C. (2024). SRB Measures of Anosov Actions. Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127. bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures of Anosov Actions}, journal={Journal of Differential Geometry (to appear) --  arXiv:2103.12127}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin}, year={2024} }' chicago: Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures of Anosov Actions.” Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127, 2024. ieee: T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov Actions,” Journal of Differential Geometry (to appear) --  arXiv:2103.12127, 2024. mla: Weich, Tobias, et al. “SRB Measures of Anosov Actions.” Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127, 2024. short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127 (2024). date_created: 2022-06-22T09:56:23Z date_updated: 2023-12-21T09:47:22Z ddc: - '510' department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - https://arxiv.org/abs/2103.12127 file: - access_level: open_access content_type: application/pdf creator: weich date_created: 2022-06-22T09:56:08Z date_updated: 2022-06-22T09:56:08Z file_id: '32098' file_name: 2103.12127.pdf file_size: 745870 relation: main_file file_date_updated: 2022-06-22T09:56:08Z has_accepted_license: '1' language: - iso: eng oa: '1' publication: Journal of Differential Geometry (to appear) -- arXiv:2103.12127 status: public title: SRB Measures of Anosov Actions type: journal_article user_id: '49178' year: '2024' ... --- _id: '51204' abstract: - lang: eng text: "Given a real semisimple connected Lie group $G$ and a discrete torsion-free\r\nsubgroup $\\Gamma < G$ we prove a precise connection between growth rates of the\r\ngroup $\\Gamma$, polyhedral bounds on the joint spectrum of the ring of\r\ninvariant differential operators, and the decay of matrix coefficients. In\r\nparticular, this allows us to completely characterize temperedness of\r\n$L^2(\\Gamma\\backslash G)$ in this general setting." author: - first_name: Christopher full_name: Lutsko, Christopher last_name: Lutsko - first_name: Tobias full_name: Weich, Tobias last_name: Weich - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: ama: Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. arXiv:240202530. Published online 2024. apa: Lutsko, C., Weich, T., & Wolf, L. L. (2024). Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. In arXiv:2402.02530. bibtex: '@article{Lutsko_Weich_Wolf_2024, title={Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces}, journal={arXiv:2402.02530}, author={Lutsko, Christopher and Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }' chicago: Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” ArXiv:2402.02530, 2024. ieee: C. Lutsko, T. Weich, and L. L. Wolf, “Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces,” arXiv:2402.02530. 2024. mla: Lutsko, Christopher, et al. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” ArXiv:2402.02530, 2024. short: C. Lutsko, T. Weich, L.L. Wolf, ArXiv:2402.02530 (2024). date_created: 2024-02-06T20:35:36Z date_updated: 2024-02-11T19:56:35Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2402.02530' language: - iso: eng publication: arXiv:2402.02530 status: public title: Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces type: preprint user_id: '49178' year: '2024' ... --- _id: '51374' article_number: '110319' author: - first_name: David full_name: Hasler, David last_name: Hasler - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Oliver full_name: Siebert, Oliver last_name: Siebert citation: ama: Hasler D, Hinrichs B, Siebert O. Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively. Journal of Functional Analysis. 2024;286(7). doi:10.1016/j.jfa.2024.110319 apa: Hasler, D., Hinrichs, B., & Siebert, O. (2024). Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively. Journal of Functional Analysis, 286(7), Article 110319. https://doi.org/10.1016/j.jfa.2024.110319 bibtex: '@article{Hasler_Hinrichs_Siebert_2024, title={Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively}, volume={286}, DOI={10.1016/j.jfa.2024.110319}, number={7110319}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2024} }' chicago: Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively.” Journal of Functional Analysis 286, no. 7 (2024). https://doi.org/10.1016/j.jfa.2024.110319. ieee: 'D. Hasler, B. Hinrichs, and O. Siebert, “Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively,” Journal of Functional Analysis, vol. 286, no. 7, Art. no. 110319, 2024, doi: 10.1016/j.jfa.2024.110319.' mla: Hasler, David, et al. “Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively.” Journal of Functional Analysis, vol. 286, no. 7, 110319, Elsevier BV, 2024, doi:10.1016/j.jfa.2024.110319. short: D. Hasler, B. Hinrichs, O. Siebert, Journal of Functional Analysis 286 (2024). date_created: 2024-02-18T12:31:28Z date_updated: 2024-02-18T12:32:23Z department: - _id: '799' doi: 10.1016/j.jfa.2024.110319 extern: '1' external_id: arxiv: - '2302.06998' intvolume: ' 286' issue: '7' keyword: - Analysis language: - iso: eng publication: Journal of Functional Analysis publication_identifier: issn: - 0022-1236 publication_status: published publisher: Elsevier BV status: public title: Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively type: journal_article user_id: '99427' volume: 286 year: '2024' ... --- _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: '52691' abstract: - lang: eng text: "We prove Feynman-Kac formulas for the semigroups generated by selfadjoint\r\noperators in a class containing Fr\\\"ohlich Hamiltonians known from solid state\r\nphysics. The latter model multi-polarons, i.e., a fixed number of quantum\r\nmechanical electrons moving in a polarizable crystal and interacting with the\r\nquantized phonon field generated by the crystal's vibrational modes. Both the\r\nelectrons and phonons can be confined to suitable open subsets of Euclidean\r\nspace. We also include possibly very singular magnetic vector potentials and\r\nelectrostatic potentials. Our Feynman-Kac formulas comprise Fock space\r\noperator-valued multiplicative functionals and can be applied to every vector\r\nin the underlying Hilbert space. In comparison to the renormalized Nelson\r\nmodel, for which analogous Feynman-Kac formulas are known, the analysis of the\r\ncreation and annihilation terms in the multiplicative functionals requires\r\nnovel ideas to overcome difficulties caused by the phonon dispersion relation\r\nbeing constant. Getting these terms under control and generalizing other\r\nconstruction steps so as to cover confined systems are the main achievements of\r\nthis article." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Oliver full_name: Matte, Oliver last_name: Matte citation: ama: Hinrichs B, Matte O. Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. arXiv:240312147. Published online 2024. apa: Hinrichs, B., & Matte, O. (2024). Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. In arXiv:2403.12147. bibtex: '@article{Hinrichs_Matte_2024, title={Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains}, journal={arXiv:2403.12147}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2024} }' chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” ArXiv:2403.12147, 2024. ieee: B. Hinrichs and O. Matte, “Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains,” arXiv:2403.12147. 2024. mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” ArXiv:2403.12147, 2024. short: B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024). date_created: 2024-03-20T14:56:05Z date_updated: 2024-03-20T14:56:50Z department: - _id: '799' external_id: arxiv: - '2403.12147' language: - iso: eng publication: arXiv:2403.12147 status: public title: Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains type: preprint user_id: '99427' year: '2024' ... --- _id: '36294' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: Brennecken D, Rösler M. The Dunkl-Laplace transform and Macdonald’s hypergeometric series. Transaction of the American Mathematical Society. doi:10.1090/tran/8860 apa: Brennecken, D., & Rösler, M. (n.d.). The Dunkl-Laplace transform and Macdonald’s hypergeometric series. Transaction of the American Mathematical Society. https://doi.org/10.1090/tran/8860 bibtex: '@article{Brennecken_Rösler, title={The Dunkl-Laplace transform and Macdonald’s hypergeometric series}, DOI={10.1090/tran/8860}, journal={Transaction of the American Mathematical Society}, publisher={ American Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit} }' chicago: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s Hypergeometric Series.” Transaction of the American Mathematical Society, n.d. https://doi.org/10.1090/tran/8860. ieee: 'D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s hypergeometric series,” Transaction of the American Mathematical Society, doi: 10.1090/tran/8860.' mla: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s Hypergeometric Series.” Transaction of the American Mathematical Society, American Mathematical Society, doi:10.1090/tran/8860. short: D. Brennecken, M. Rösler, Transaction of the American Mathematical Society (n.d.). date_created: 2023-01-12T08:32:44Z date_updated: 2023-01-24T22:14:22Z department: - _id: '555' doi: 10.1090/tran/8860 language: - iso: eng publication: Transaction of the American Mathematical Society publication_status: inpress publisher: ' American Mathematical Society' status: public title: The Dunkl-Laplace transform and Macdonald’s hypergeometric series type: journal_article user_id: '37390' year: '2023' ... --- _id: '34814' article_type: original author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus. Canadian Journal of Mathematics. 2023;75(1):170-201. doi:10.4153/s0008414x21000596 apa: Hanusch, M. (2023). A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus. Canadian Journal of Mathematics, 75(1), 170–201. https://doi.org/10.4153/s0008414x21000596 bibtex: '@article{Hanusch_2023, title={A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus}, volume={75}, DOI={10.4153/s0008414x21000596}, number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Hanusch, Maximilian}, year={2023}, pages={170–201} }' chicago: 'Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential Calculus.” Canadian Journal of Mathematics 75, no. 1 (2023): 170–201. https://doi.org/10.4153/s0008414x21000596.' ieee: 'M. Hanusch, “A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus,” Canadian Journal of Mathematics, vol. 75, no. 1, pp. 170–201, 2023, doi: 10.4153/s0008414x21000596.' mla: Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential Calculus.” Canadian Journal of Mathematics, vol. 75, no. 1, Canadian Mathematical Society, 2023, pp. 170–201, doi:10.4153/s0008414x21000596. short: M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201. date_created: 2022-12-22T09:16:48Z date_updated: 2023-02-22T11:38:32Z department: - _id: '93' doi: 10.4153/s0008414x21000596 intvolume: ' 75' issue: '1' keyword: - extension of differentiable maps language: - iso: eng page: 170-201 project: - _id: '161' name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)' publication: Canadian Journal of Mathematics publication_identifier: issn: - 0008-414X - 1496-4279 publication_status: published publisher: Canadian Mathematical Society status: public title: A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus type: journal_article user_id: '30905' volume: 75 year: '2023' ... --- _id: '43105' article_number: '103868' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 - first_name: Mario full_name: Fuest, Mario last_name: Fuest - first_name: Johannes full_name: Lankeit, Johannes last_name: Lankeit - first_name: Masaaki full_name: Mizukami, Masaaki last_name: Mizukami citation: ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868' apa: 'Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications, 73, Article 103868. https://doi.org/10.1016/j.nonrwa.2023.103868' bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}, volume={73}, DOI={10.1016/j.nonrwa.2023.103868}, number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}, year={2023} }' chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.' ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.' mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications, vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.' short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023).' date_created: 2023-03-27T07:25:58Z date_updated: 2023-03-27T07:27:03Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1016/j.nonrwa.2023.103868 intvolume: ' 73' keyword: - Applied Mathematics - Computational Mathematics - General Economics - Econometrics and Finance - General Engineering - General Medicine - Analysis language: - iso: eng publication: 'Nonlinear Analysis: Real World Applications' publication_identifier: issn: - 1468-1218 publication_status: published publisher: Elsevier BV status: public title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source type: journal_article user_id: '23686' volume: 73 year: '2023' ... --- _id: '34832' author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups. Annals of Global Analysis and Geometry. 2023;63(21). doi:10.1007/s10455-023-09888-y apa: Hanusch, M. (2023). The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups. Annals of Global Analysis and Geometry, 63(21). https://doi.org/10.1007/s10455-023-09888-y bibtex: '@article{Hanusch_2023, title={The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups}, volume={63}, DOI={10.1007/s10455-023-09888-y}, number={21}, journal={Annals of Global Analysis and Geometry}, author={Hanusch, Maximilian}, year={2023} }' chicago: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” Annals of Global Analysis and Geometry 63, no. 21 (2023). https://doi.org/10.1007/s10455-023-09888-y. ieee: 'M. Hanusch, “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups,” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023, doi: 10.1007/s10455-023-09888-y.' mla: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023, doi:10.1007/s10455-023-09888-y. short: M. Hanusch, Annals of Global Analysis and Geometry 63 (2023). date_created: 2022-12-22T09:45:34Z date_updated: 2023-04-05T18:18:24Z department: - _id: '93' doi: 10.1007/s10455-023-09888-y intvolume: ' 63' issue: '21' keyword: - Lax equation - generalized Baker-Campbell-Dynkin-Hausdorff formula - regularity of Lie groups language: - iso: eng project: - _id: '161' name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)' publication: Annals of Global Analysis and Geometry publication_status: published status: public title: The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups type: journal_article user_id: '30905' volume: 63 year: '2023' ... --- _id: '34833' author: - first_name: Maximilian full_name: Hanusch, Maximilian id: '30905' last_name: Hanusch citation: ama: Hanusch M. Decompositions of Analytic 1-Manifolds. Indagationes Mathematicae. 2023;34(4):752-811. doi:10.1016/j.indag.2023.02.003 apa: Hanusch, M. (2023). Decompositions of Analytic 1-Manifolds. Indagationes Mathematicae., 34(4), 752–811. https://doi.org/10.1016/j.indag.2023.02.003 bibtex: '@article{Hanusch_2023, title={Decompositions of Analytic 1-Manifolds}, volume={34}, DOI={10.1016/j.indag.2023.02.003}, number={4}, journal={Indagationes Mathematicae.}, author={Hanusch, Maximilian}, year={2023}, pages={752–811} }' chicago: 'Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes Mathematicae. 34, no. 4 (2023): 752–811. https://doi.org/10.1016/j.indag.2023.02.003.' ieee: 'M. Hanusch, “Decompositions of Analytic 1-Manifolds,” Indagationes Mathematicae., vol. 34, no. 4, pp. 752–811, 2023, doi: 10.1016/j.indag.2023.02.003.' mla: Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes Mathematicae., vol. 34, no. 4, 2023, pp. 752–811, doi:10.1016/j.indag.2023.02.003. short: M. Hanusch, Indagationes Mathematicae. 34 (2023) 752–811. date_created: 2022-12-22T09:46:36Z date_updated: 2023-05-25T07:32:38Z department: - _id: '93' doi: 10.1016/j.indag.2023.02.003 intvolume: ' 34' issue: '4' keyword: - Lie group actions and analytic 1-submanifolds language: - iso: eng page: 752-811 publication: Indagationes Mathematicae. publication_status: published status: public title: Decompositions of Analytic 1-Manifolds type: journal_article user_id: '30905' volume: 34 year: '2023' ... --- _id: '46100' article_number: '127558' author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Daan W. full_name: Janssen, Daan W. last_name: Janssen - first_name: Jobst full_name: Ziebell, Jobst last_name: Ziebell citation: ama: 'Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications. 2023;528(1). doi:10.1016/j.jmaa.2023.127558' apa: 'Hinrichs, B., Janssen, D. W., & Ziebell, J. (2023). Super-Gaussian decay of exponentials: A sufficient condition. Journal of Mathematical Analysis and Applications, 528(1), Article 127558. https://doi.org/10.1016/j.jmaa.2023.127558' bibtex: '@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of exponentials: A sufficient condition}, volume={528}, DOI={10.1016/j.jmaa.2023.127558}, number={1127558}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell, Jobst}, year={2023} }' chicago: 'Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications 528, no. 1 (2023). https://doi.org/10.1016/j.jmaa.2023.127558.' ieee: 'B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials: A sufficient condition,” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, Art. no. 127558, 2023, doi: 10.1016/j.jmaa.2023.127558.' mla: 'Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis and Applications, vol. 528, no. 1, 127558, Elsevier BV, 2023, doi:10.1016/j.jmaa.2023.127558.' short: B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023). date_created: 2023-07-20T05:08:49Z date_updated: 2023-07-20T05:11:12Z department: - _id: '799' doi: 10.1016/j.jmaa.2023.127558 external_id: arxiv: - '2205.09189' intvolume: ' 528' issue: '1' keyword: - Applied Mathematics - Analysis language: - iso: eng publication: Journal of Mathematical Analysis and Applications publication_identifier: issn: - 0022-247X publication_status: published publisher: Elsevier BV status: public title: 'Super-Gaussian decay of exponentials: A sufficient condition' type: journal_article user_id: '99427' volume: 528 year: '2023' ... --- _id: '47534' abstract: - lang: eng text: "In this proceeding we consider a translation invariant Nelson type model in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors in a recent preprint (where several matter particles and exterior\r\npotentials are treated as well). After that, we employ a few technical key\r\nrelations and estimates obtained in our preprint to present an otherwise\r\nself-contained derivation of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Oliver full_name: Matte, Oliver last_name: Matte citation: ama: Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. arXiv:230909005. Published online 2023. apa: Hinrichs, B., & Matte, O. (2023). Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In arXiv:2309.09005. bibtex: '@article{Hinrichs_Matte_2023, title={Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions}, journal={arXiv:2309.09005}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2023} }' chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023. ieee: B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions,” arXiv:2309.09005. 2023. mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023. short: B. Hinrichs, O. Matte, ArXiv:2309.09005 (2023). date_created: 2023-10-02T06:21:37Z date_updated: 2023-10-02T06:22:55Z department: - _id: '799' - _id: '623' external_id: arxiv: - '2309.09005' language: - iso: eng project: - _id: '266' name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: arXiv:2309.09005 status: public title: Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions type: preprint user_id: '99427' year: '2023' ... --- _id: '31189' abstract: - lang: eng text: "Given a geometrically finite hyperbolic surface of infinite volume it is a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding principal eigenvalues. A large class of examples fulfilling these\r\nassumptions are the non-compact quotients by Anosov subgroups." author: - 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: Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1 apa: Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1 bibtex: '@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher rank locally symmetric  spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1}, journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }' chicago: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.” Communications in Mathematical Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1. ieee: 'T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank locally symmetric  spaces,” Communications in Mathematical Physics, vol. 403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1.' mla: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.” Communications in Mathematical Physics, vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1. short: T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023). date_created: 2022-05-11T10:38:11Z date_updated: 2024-02-06T20:52:40Z department: - _id: '10' - _id: '548' - _id: '623' doi: https://doi.org/10.1007/s00220-023-04819-1 external_id: arxiv: - '2205.03167' intvolume: ' 403' language: - iso: eng publication: Communications in Mathematical Physics publication_identifier: unknown: - 1275-1295 status: public title: Absence of principal eigenvalues for higher rank locally symmetric spaces type: journal_article user_id: '49178' volume: 403 year: '2023' ... --- _id: '31059' abstract: - lang: eng text: In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent of Dyatlov and Guillarmou (2016). We obtain a residue formula proving equality between residues of weighted zetas and invariant Ruelle distributions. We combine this equality with results of Guillarmou, Hilgert and Weich (2021) in order to relate the residues to Patterson-Sullivan distributions. Finally we provide proof-of-principle results concerning the numerical calculation of invariant Ruelle distributions for 3-disc scattering systems. author: - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Sonja full_name: Barkhofen, Sonja id: '48188' last_name: Barkhofen citation: ama: Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics. 2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z apa: Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z bibtex: '@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={ttps://doi.org/10.1007/s00220-022-04538-z}, journal={Communications in Mathematical Physics}, author={Schütte, Philipp and Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }' chicago: 'Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics 398 (2023): 655–78. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z.' ieee: 'P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems,” Communications in Mathematical Physics, vol. 398, pp. 655–678, 2023, doi: ttps://doi.org/10.1007/s00220-022-04538-z.' mla: Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics, vol. 398, 2023, pp. 655–78, doi:ttps://doi.org/10.1007/s00220-022-04538-z. short: P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678. date_created: 2022-05-04T12:27:46Z date_updated: 2024-02-11T19:56:15Z department: - _id: '10' - _id: '548' - _id: '623' doi: ttps://doi.org/10.1007/s00220-022-04538-z external_id: arxiv: - '2112.05791' intvolume: ' 398' language: - iso: eng page: 655-678 publication: Communications in Mathematical Physics status: public title: Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems type: journal_article user_id: '49178' volume: 398 year: '2023' ... --- _id: '51206' abstract: - lang: eng text: "We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the connection between invariant Ruelle distributions and residues\r\nof meromorphically continued weighted zeta functions established by the authors\r\ntogether with Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer operator has to include a contracting direction which\r\nwe account for with techniques developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed for our algorithm in the case of surfaces with\r\nadditional symmetries by proving and applying a symmetry reduction of weighted\r\nzeta functions." author: - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463. Published online 2023. apa: Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. In arXiv:2308.13463. bibtex: '@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463}, author={Schütte, Philipp and Weich, Tobias}, year={2023} }' chicago: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023. ieee: P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions,” arXiv:2308.13463. 2023. mla: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023. short: P. Schütte, T. Weich, ArXiv:2308.13463 (2023). date_created: 2024-02-06T20:58:35Z date_updated: 2024-02-11T19:56:01Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2308.13463' language: - iso: eng publication: arXiv:2308.13463 status: public title: Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions type: preprint user_id: '49178' year: '2023' ... --- _id: '51207' abstract: - lang: eng text: "Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$." author: - 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: 'Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. arXiv:230409573. Published online 2023.' apa: 'Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces: The product case. In arXiv:2304.09573.' bibtex: '@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces: The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }' chicago: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.' ieee: 'T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” arXiv:2304.09573. 2023.' mla: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.' short: T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023). date_created: 2024-02-06T21:00:55Z date_updated: 2024-02-11T19:55:58Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2304.09573' language: - iso: eng publication: arXiv:2304.09573 status: public title: 'Temperedness of locally symmetric spaces: The product case' type: preprint user_id: '49178' year: '2023' ... --- _id: '51375' abstract: - lang: eng text: "We consider the quantum dynamics of a many-fermion system in $\\mathbb R^d$\r\nwith an ultraviolet regularized pair interaction as previously studied in [M.\r\nGebert, B. Nachtergaele, J. Reschke, and R. Sims, Ann. Henri Poincar\\'e 21.11\r\n(2020)]. We provide a Lieb-Robinson bound under substantially relaxed\r\nassumptions on the potentials. We also improve the associated one-body\r\nLieb-Robinson bound on $L^2$-overlaps to an almost ballistic one (i.e., an\r\nalmost linear light cone) under the same relaxed assumptions. Applications\r\ninclude the existence of the infinite-volume dynamics and clustering of ground\r\nstates in the presence of a spectral gap. We also develop a fermionic continuum\r\nnotion of conditional expectation and use it to approximate time-evolved\r\nfermionic observables by local ones, which opens the door to other applications\r\nof the Lieb-Robinson bounds." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Marius full_name: Lemm, Marius last_name: Lemm - first_name: Oliver full_name: Siebert, Oliver last_name: Siebert citation: ama: Hinrichs B, Lemm M, Siebert O. On Lieb-Robinson bounds for a class of continuum fermions. arXiv:231017736. Published online 2023. apa: Hinrichs, B., Lemm, M., & Siebert, O. (2023). On Lieb-Robinson bounds for a class of continuum fermions. In arXiv:2310.17736. bibtex: '@article{Hinrichs_Lemm_Siebert_2023, title={On Lieb-Robinson bounds for a class of continuum fermions}, journal={arXiv:2310.17736}, author={Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}, year={2023} }' chicago: Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023. ieee: B. Hinrichs, M. Lemm, and O. Siebert, “On Lieb-Robinson bounds for a class of continuum fermions,” arXiv:2310.17736. 2023. mla: Hinrichs, Benjamin, et al. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023. short: B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023). date_created: 2024-02-18T12:33:21Z date_updated: 2024-02-18T12:34:43Z department: - _id: '799' external_id: arxiv: - '2310.17736' language: - iso: eng project: - _id: '266' grant_number: PROFILNRW-2020-067 name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: arXiv:2310.17736 status: public title: On Lieb-Robinson bounds for a class of continuum fermions type: preprint user_id: '99427' year: '2023' ... --- _id: '51376' abstract: - lang: eng text: "In the Bogoliubov-Fr\\\"ohlich model, we prove that an impurity immersed in a\r\nBose-Einstein condensate forms a stable quasi-particle when the total momentum\r\nis less than its mass times the speed of sound. The system thus exhibits\r\nsuperfluid behavior, as this quasi-particle does not experience friction. We do\r\nnot assume any infrared or ultraviolet regularization of the model, which\r\ncontains massless excitations and point-like interactions." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Jonas full_name: Lampart, Jonas last_name: Lampart citation: ama: Hinrichs B, Lampart J. A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate. arXiv:231105361. Published online 2023. apa: Hinrichs, B., & Lampart, J. (2023). A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate. In arXiv:2311.05361. bibtex: '@article{Hinrichs_Lampart_2023, title={A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate}, journal={arXiv:2311.05361}, author={Hinrichs, Benjamin and Lampart, Jonas}, year={2023} }' chicago: Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate.” ArXiv:2311.05361, 2023. ieee: B. Hinrichs and J. Lampart, “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate,” arXiv:2311.05361. 2023. mla: Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein  Condensate.” ArXiv:2311.05361, 2023. short: B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023). date_created: 2024-02-18T12:33:48Z date_updated: 2024-02-18T12:34:22Z department: - _id: '799' external_id: arxiv: - '2311.05361' language: - iso: eng project: - _id: '266' grant_number: PROFILNRW-2020-067 name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: arXiv:2311.05361 status: public title: A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate type: preprint user_id: '99427' year: '2023' ... --- _id: '31190' abstract: - lang: eng text: "For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$ of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions of the algebra of invariant differential\r\noperators on $G/K$." author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf 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' ...