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184 Publications
2026 | Preprint | LibreCat-ID: 65255
Spectral theory for transfer operators on compact quotients of Euclidean buildings
J. Hilgert, D. Kahl, T. Weich, ArXiv:2603.26949 (2026).
LibreCat
| arXiv
J. Hilgert, D. Kahl, T. Weich, ArXiv:2603.26949 (2026).
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 | Journal Article | LibreCat-ID: 59344
Edge Laplacians and Edge Poisson Transforms for Graphs
C. Arends, J. Frahm, J. Hilgert, Potential Analysis (2025).
LibreCat
| DOI
C. Arends, J. Frahm, J. Hilgert, Potential Analysis (2025).
2025 | Journal Article | LibreCat-ID: 59343
A pairing formula for resonant states on finite regular graphs
C. Arends, J. Frahm, J. Hilgert, Mathematische Annalen (2025).
LibreCat
| DOI
C. Arends, J. Frahm, J. Hilgert, Mathematische Annalen (2025).
2025 | Special Issue | LibreCat-ID: 64736
Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday
J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday, 2025.
LibreCat
J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday, 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.
2025 | Journal Article | LibreCat-ID: 53413
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.
LibreCat
B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.
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 | Book | LibreCat-ID: 60078
Mathematical Structures
J. Hilgert, Mathematical Structures, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
LibreCat
| DOI
J. Hilgert, Mathematical Structures, 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. 27 (2024) 3085–3147.
LibreCat
| Files available
| DOI
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. 27 (2024) 3085–3147.
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: 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 | 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 | Journal Article | LibreCat-ID: 31190
Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
LibreCat
| DOI
| arXiv
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
2023 | Journal Article | LibreCat-ID: 51383
Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters
J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
LibreCat
J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
2023 | Journal Article | LibreCat-ID: 51384
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
LibreCat
J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
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.