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207 Publications
2024 | Journal Article | LibreCat-ID: 32101 | 
Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36.
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2024 | Preprint | LibreCat-ID: 51501 |
Hilgert, J. (2024). Quantum-Classical Correspondences for Locally Symmetric Spaces.
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2023 | Journal Article | LibreCat-ID: 31210
Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 51383
Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J. de l’École Polytechnique — Mathématiques, 10, 335–403.
LibreCat
2023 | Journal Article | LibreCat-ID: 51384
Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232.
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2023 | Preprint | LibreCat-ID: 51499 |
Hilgert, J., Arends, C., & Frahm, J. (2023). A pairing formula for resonant states on finite regular graphs.
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2023 | Preprint | LibreCat-ID: 51500 |
Hilgert, J., Arends, C., & Frahm, J. (2023). Edge Laplacians and vector valued Poisson transforms for graphs.
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2023 | Preprint | LibreCat-ID: 51502 |
Hilgert, J., Baier, T., Kaya, O., Mourao, J., & Nunes, J. (2023). Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.
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2023 | Preprint | LibreCat-ID: 51521 |
Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023). Ruelle-Taylor resonances of Anosov actions.
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2023 | Journal Article | LibreCat-ID: 34793
Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations, 343, 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, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
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| DOI
2022 | Journal Article | LibreCat-ID: 51385
Hilgert, J., Weich, T., & Bux, K.-U. (2022). Poisson transforms for trees of bounded degree. J. of Spectral Theory, 12, 659–681.
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2022 | Book Review | LibreCat-ID: 51554
Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. In Mathematische Semesterberichte (Vol. 69, pp. 151–153). https://doi.org/10.1007/s00591-021-00314-7
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2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119. https://doi.org/10.5802/ahl.67
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
Brennecken, D., Hilgert, J., & Ciardo, L. (2021). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of Lie Theory, 31(2), 459--468. https://doi.org/10.48550/arXiv.2008.07479
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| DOI
2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert, J., & Hilgert, I. (Eds.). (2021). Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum.
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2021 | Preprint | LibreCat-ID: 51503 |
Hilgert, J., Weich, T., & Wolf, L. (2021). Higher-rank quantum-classical correspondence.
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2021 | Book Review | LibreCat-ID: 51556
Hilgert, J. (2021). Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 68, pp. 171–173). https://doi.org/10.1007/s00591-021-00295-7
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