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200 Publications
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.
LibreCat
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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.
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| Download (ext.)
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
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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
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2024 | Journal Article | LibreCat-ID: 32101 | 
Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonances of Anosov Actions.” J. Europ. Math. Soc., 2024, 1–36.
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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
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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
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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
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| arXiv
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
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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.
LibreCat
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2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021): 81–119. https://doi.org/10.5802/ahl.67.
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.
LibreCat
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2021 | Book Review | LibreCat-ID: 51556
Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00295-7.
LibreCat
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2021 | Book Review | LibreCat-ID: 51555
Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00296-6.
LibreCat
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2021 | Journal Article | LibreCat-ID: 35702
Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper, Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics Learning and Support Centres.” International Journal of Research in Undergraduate Mathematics Education 8, no. 1 (2021): 94–120. https://doi.org/10.1007/s40753-021-00154-9.
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