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207 Publications
2024 | Journal Article | LibreCat-ID: 32101 | 
Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonaces 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 | 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.
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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: 51500 |
Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector Valued Poisson Transforms for Graphs,” 2023.
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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: 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
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 | Journal Article | LibreCat-ID: 51385
Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory 12 (2022): 659–81.
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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.
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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.
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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 | Book (Editor) | LibreCat-ID: 51493
Hilgert, Joachim, and I. Hilgert, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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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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