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184 Publications


2026 | Preprint | LibreCat-ID: 65255
Hilgert, Joachim, Daniel Kahl, and Tobias Weich. “Spectral Theory for Transfer Operators on Compact Quotients of Euclidean Buildings.” ArXiv:2603.26949, 2026.
LibreCat | arXiv
 

2025 | Journal Article | LibreCat-ID: 58402
Baier, Thomas, Ana Cristina Ferreira, Joachim Hilgert, José M. Mourão, and João P. Nunes. “Fibering Polarizations and Mabuchi Rays on Symmetric Spaces of Compact Type.” Analysis and Mathematical Physics 15, no. 1 (2025). https://doi.org/10.1007/s13324-025-01012-6.
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2025 | Journal Article | LibreCat-ID: 59344
Arends, Christian, Jan Frahm, and Joachim Hilgert. “Edge Laplacians and Edge Poisson Transforms for Graphs.” Potential Analysis, 2025. https://doi.org/10.1007/s11118-024-10184-y.
LibreCat | DOI
 

2025 | Journal Article | LibreCat-ID: 59343
Arends, Christian, Jan Frahm, and Joachim Hilgert. “A Pairing Formula for Resonant States on Finite Regular Graphs.” Mathematische Annalen, 2025. https://doi.org/10.1007/s00208-025-03140-7.
LibreCat | DOI
 

2025 | Special Issue | LibreCat-ID: 64736
Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025.
LibreCat
 

2025 | Book Chapter | LibreCat-ID: 58587
Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric Spaces.” In Symmetry in Geometry and Analysis, Volume 2, 2025. https://doi.org/10.1007/978-981-97-7662-7.
LibreCat | DOI | Download (ext.)
 

2025 | Journal Article | LibreCat-ID: 53413
Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” Journal of Lie Theory 35, no. (4) (n.d.): 787--804.
LibreCat
 

2024 | Book | LibreCat-ID: 55193
Hoffmann, Max, Joachim Hilgert, and Tobias Weich. Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik. Berlin, Heidelberg: Springer Berlin Heidelberg, 2024. https://doi.org/10.1007/978-3-662-67357-7.
LibreCat | DOI
 

2024 | Book | LibreCat-ID: 60078
Hilgert, Joachim. Mathematical Structures. Berlin, Heidelberg: Springer Berlin Heidelberg, 2024. https://doi.org/10.1007/978-3-662-69412-1.
LibreCat | DOI
 

2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonances of Anosov Actions.” J. Europ. Math. Soc. 27, no. 8 (2024): 3085–3147. https://doi.org/10.4171/JEMS/1428.
LibreCat | Files available | DOI
 

2024 | Journal Article | LibreCat-ID: 57498
Baier, Thomas, Joachim Hilgert, Oguzhan Kaya, José M. Mourão, and João P. Nunes. “Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter–Weyl Theorem.” Journal of Geometry and Physics 207 (2024). https://doi.org/10.1016/j.geomphys.2024.105355.
LibreCat | DOI
 

2024 | Journal Article | LibreCat-ID: 58103
Bux, K.-U., Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” Indagationes Mathematicae 36, no. 1 (2024): 188–217. https://doi.org/10.1016/j.indag.2024.05.001.
LibreCat | DOI
 

2024 | Book | LibreCat-ID: 57590
Hilgert, Joachim. Mathematische Strukturen 2. Auflage. Berlin, Heidelberg: Springer Berlin Heidelberg, 2024. https://doi.org/10.1007/978-3-662-68893-9.
LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 31210
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.
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 34793
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.
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 31190
Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265. https://doi.org/10.2140/apde.2023.16.2241.
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 51383
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.
LibreCat
 

2023 | Journal Article | LibreCat-ID: 51384
Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.
LibreCat
 

2022 | Journal Article | LibreCat-ID: 35322
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.
LibreCat | DOI
 

2022 | Book Review | LibreCat-ID: 51554
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.
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