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202 Publications
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 | Preprint | LibreCat-ID: 51501 |
Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric Spaces,” 2024.
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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.
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| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 51499 |
Hilgert, Joachim, C. Arends, and J. Frahm. “A Pairing Formula for Resonant States on Finite Regular Graphs,” 2023.
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2023 | Preprint | LibreCat-ID: 51521 |
Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich. “Ruelle-Taylor Resonances of Anosov Actions,” 2023.
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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.
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| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 51502 |
Hilgert, Joachim, T. Baier, O. Kaya, J. Mourao, and J. Nunes. “Quantization in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem,” 2023.
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2023 | Preprint | LibreCat-ID: 51500 |
Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector Valued Poisson Transforms for Graphs,” 2023.
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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.
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| 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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| DOI
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.
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| 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.
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2021 | Preprint | LibreCat-ID: 51503 |
Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical Correspondence,” 2021.
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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.
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| DOI
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.
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| DOI
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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| DOI
2021 | Book | LibreCat-ID: 51493
Hilgert, Joachim, and Ingrid Hilgert. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2020 | Journal Article | LibreCat-ID: 51386
Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” J. of Lie Theory 30 (2020): 315–44.
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