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209 Publications
2025 | Journal Article | LibreCat-ID: 58402
Fibering polarizations and Mabuchi rays on symmetric spaces of compact type
T. Baier, A.C. Ferreira, J. Hilgert, J.M. Mourão, J.P. Nunes, Analysis and Mathematical Physics 15 (2025).
LibreCat
| DOI
T. Baier, A.C. Ferreira, J. Hilgert, J.M. Mourão, J.P. Nunes, Analysis and Mathematical Physics 15 (2025).
2025 | Book Chapter | LibreCat-ID: 58587
Quantum-Classical Correspondences for Locally Symmetric Spaces
J. Hilgert, in: Symmetry in Geometry and Analysis, Volume 2, 2025.
LibreCat
| DOI
| Download (ext.)
J. Hilgert, in: Symmetry in Geometry and Analysis, Volume 2, 2025.
2024 | Preprint | LibreCat-ID: 53413
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
LibreCat
| arXiv
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
2024 | Book | LibreCat-ID: 55193
Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik
M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
LibreCat
| DOI
M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
2024 | Journal Article | LibreCat-ID: 32101 | 
Ruelle-Taylor resonances of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
LibreCat
| Files available
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
2024 | Preprint | LibreCat-ID: 51501 |
Quantum-Classical Correspondences for Locally Symmetric Spaces
J. Hilgert, (2024).
LibreCat
| Download (ext.)
J. Hilgert, (2024).
2024 | Preprint | LibreCat-ID: 58159
Fibering polarizations and Mabuchi rays on symmetric spaces of compact type
T. Baier, A.C. Ferreira, J. Hilgert, J.M. Mourão, J.P. Nunes, ArXiv:2404.19697 (2024).
LibreCat
| arXiv
T. Baier, A.C. Ferreira, J. Hilgert, J.M. Mourão, J.P. Nunes, ArXiv:2404.19697 (2024).
2024 | Journal Article | LibreCat-ID: 57498
Quantization in fibering polarizations, Mabuchi rays and geometric Peter–Weyl theorem
T. Baier, J. Hilgert, O. Kaya, J.M. Mourão, J.P. Nunes, Journal of Geometry and Physics 207 (2024).
LibreCat
| DOI
T. Baier, J. Hilgert, O. Kaya, J.M. Mourão, J.P. Nunes, Journal of Geometry and Physics 207 (2024).
2024 | Journal Article | LibreCat-ID: 58103
Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, Indagationes Mathematicae 36 (2024) 188–217.
LibreCat
| DOI
K.-U. Bux, J. Hilgert, T. Weich, Indagationes Mathematicae 36 (2024) 188–217.
2024 | Book | LibreCat-ID: 57590
Mathematische Strukturen 2. Auflage
J. Hilgert, Mathematische Strukturen 2. Auflage, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
LibreCat
| DOI
J. Hilgert, Mathematische Strukturen 2. Auflage, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
2023 | Journal Article | LibreCat-ID: 31190
Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
LibreCat
| arXiv
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
2023 | Journal Article | LibreCat-ID: 31210
Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
LibreCat
| DOI
| arXiv
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
2023 | Preprint | LibreCat-ID: 51499 |
A pairing formula for resonant states on finite regular graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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J. Hilgert, C. Arends, J. Frahm, (2023).
2023 | Preprint | LibreCat-ID: 51521 |
Ruelle-Taylor resonances of Anosov actions
J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
LibreCat
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J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
2023 | Journal Article | LibreCat-ID: 34793
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
LibreCat
| DOI
| arXiv
H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
2023 | Preprint | LibreCat-ID: 51205
Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
LibreCat
| arXiv
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
2023 | Preprint | LibreCat-ID: 51502 |
Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).
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J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).
2023 | Preprint | LibreCat-ID: 51500 |
Edge Laplacians and vector valued Poisson transforms for graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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J. Hilgert, C. Arends, J. Frahm, (2023).
2022 | Journal Article | LibreCat-ID: 35322
Poisson transforms for trees of bounded degree
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
LibreCat
| DOI
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
2022 | Book Review | LibreCat-ID: 51554
Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021
J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.
LibreCat
| DOI
J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.