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184 Publications


2026 | Preprint | LibreCat-ID: 65255
@article{Hilgert_Kahl_Weich_2026, title={Spectral theory for transfer operators on compact quotients of Euclidean buildings}, journal={arXiv:2603.26949}, author={Hilgert, Joachim and Kahl, Daniel and Weich, Tobias}, year={2026} }
LibreCat | arXiv
 

2025 | Journal Article | LibreCat-ID: 58402
@article{Baier_Ferreira_Hilgert_Mourão_Nunes_2025, title={Fibering polarizations and Mabuchi rays on symmetric spaces of compact type}, volume={15}, DOI={10.1007/s13324-025-01012-6}, number={121}, journal={Analysis and Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Baier, Thomas and Ferreira, Ana Cristina and Hilgert, Joachim and Mourão, José M. and Nunes, João P.}, year={2025} }
LibreCat | DOI
 

2025 | Journal Article | LibreCat-ID: 59344
@article{Arends_Frahm_Hilgert_2025, title={Edge Laplacians and Edge Poisson Transforms for Graphs}, DOI={10.1007/s11118-024-10184-y}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Arends, Christian and Frahm, Jan and Hilgert, Joachim}, year={2025} }
LibreCat | DOI
 

2025 | Journal Article | LibreCat-ID: 59343
@article{Arends_Frahm_Hilgert_2025, title={A pairing formula for resonant states on finite regular graphs}, DOI={10.1007/s00208-025-03140-7}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Arends, Christian and Frahm, Jan and Hilgert, Joachim}, year={2025} }
LibreCat | DOI
 

2025 | Special Issue | LibreCat-ID: 64736
@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday}, volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }
LibreCat
 

2025 | Book Chapter | LibreCat-ID: 58587
@inbook{Hilgert_2025, title={Quantum-Classical Correspondences for Locally Symmetric Spaces}, DOI={https://doi.org/10.1007/978-981-97-7662-7}, booktitle={Symmetry in Geometry and Analysis, Volume 2}, author={Hilgert, Joachim}, year={2025} }
LibreCat | DOI | Download (ext.)
 

2025 | Journal Article | LibreCat-ID: 53413
@article{Delarue_Hilgert, title={Quantum resonances and scattering poles of classical rank one locally  symmetric spaces}, volume={35}, number={(4)}, journal={Journal of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804} }
LibreCat
 

2024 | Book | LibreCat-ID: 55193
@book{Hoffmann_Hilgert_Weich_2024, place={Berlin, Heidelberg}, title={Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik}, DOI={10.1007/978-3-662-67357-7}, publisher={Springer Berlin Heidelberg}, author={Hoffmann, Max and Hilgert, Joachim and Weich, Tobias}, year={2024} }
LibreCat | DOI
 

2024 | Book | LibreCat-ID: 60078
@book{Hilgert_2024, place={Berlin, Heidelberg}, title={Mathematical Structures}, DOI={10.1007/978-3-662-69412-1}, publisher={Springer Berlin Heidelberg}, author={Hilgert, Joachim}, year={2024} }
LibreCat | DOI
 

2024 | Journal Article | LibreCat-ID: 32101 | OA
@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor resonances of Anosov actions}, volume={27}, DOI={https://doi.org/10.4171/JEMS/1428}, number={8}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024}, pages={3085–3147} }
LibreCat | Files available | DOI
 

2024 | Journal Article | LibreCat-ID: 57498
@article{Baier_Hilgert_Kaya_Mourão_Nunes_2024, title={Quantization in fibering polarizations, Mabuchi rays and geometric Peter–Weyl theorem}, volume={207}, DOI={10.1016/j.geomphys.2024.105355}, number={105355}, journal={Journal of Geometry and Physics}, publisher={Elsevier BV}, author={Baier, Thomas and Hilgert, Joachim and Kaya, Oguzhan and Mourão, José M. and Nunes, João P.}, year={2024} }
LibreCat | DOI
 

2024 | Journal Article | LibreCat-ID: 58103
@article{Bux_Hilgert_Weich_2024, title={Spectral correspondences for finite graphs without dead ends}, volume={36}, DOI={10.1016/j.indag.2024.05.001}, number={1}, journal={Indagationes Mathematicae}, publisher={Elsevier BV}, author={Bux, K.-U. and Hilgert, Joachim and Weich, Tobias}, year={2024}, pages={188–217} }
LibreCat | DOI
 

2024 | Book | LibreCat-ID: 57590
@book{Hilgert_2024, place={Berlin, Heidelberg}, title={Mathematische Strukturen 2. Auflage}, DOI={10.1007/978-3-662-68893-9}, publisher={Springer Berlin Heidelberg}, author={Hilgert, Joachim}, year={2024} }
LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 31210
@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} }
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 34793
@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} }
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 31190
@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, DOI={https://doi.org/10.2140/apde.2023.16.2241}, number={10}, journal={Analysis & PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 51383
@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} }
LibreCat
 

2023 | Journal Article | LibreCat-ID: 51384
@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} }
LibreCat
 

2022 | Journal Article | LibreCat-ID: 35322
@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} }
LibreCat | DOI
 

2022 | Book Review | LibreCat-ID: 51554
@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} }
LibreCat | DOI
 

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