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184 Publications
2025 | Journal Article | LibreCat-ID: 58402
T. Baier, A. C. Ferreira, J. Hilgert, J. M. Mourão, and J. P. Nunes, “Fibering polarizations and Mabuchi rays on symmetric spaces of compact type,” Analysis and Mathematical Physics, vol. 15, no. 1, Art. no. 21, 2025, doi: 10.1007/s13324-025-01012-6.
LibreCat
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2025 | Journal Article | LibreCat-ID: 59344
C. Arends, J. Frahm, and J. Hilgert, “Edge Laplacians and Edge Poisson Transforms for Graphs,” Potential Analysis, 2025, doi: 10.1007/s11118-024-10184-y.
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 59343
C. Arends, J. Frahm, and J. Hilgert, “A pairing formula for resonant states on finite regular graphs,” Mathematische Annalen, 2025, doi: 10.1007/s00208-025-03140-7.
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2025 | Special Issue | LibreCat-ID: 64736
J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday, vol. 35, no. 4. 2025.
LibreCat
2025 | Book Chapter | LibreCat-ID: 58587
J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces,” in Symmetry in Geometry and Analysis, Volume 2, 2025.
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| Download (ext.)
2025 | Journal Article | LibreCat-ID: 53413
B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally symmetric spaces,” Journal of Lie Theory, vol. 35, no. (4), pp. 787--804.
LibreCat
2024 | Journal Article | LibreCat-ID: 32101 | 
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonances of Anosov actions,” J. Europ. Math. Soc., vol. 27, no. 8, pp. 3085–3147, 2024, doi: https://doi.org/10.4171/JEMS/1428.
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| DOI
2024 | Journal Article | LibreCat-ID: 57498
T. Baier, J. Hilgert, O. Kaya, J. M. Mourão, and J. P. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter–Weyl theorem,” Journal of Geometry and Physics, vol. 207, Art. no. 105355, 2024, doi: 10.1016/j.geomphys.2024.105355.
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2024 | Journal Article | LibreCat-ID: 58103
K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” Indagationes Mathematicae, vol. 36, no. 1, pp. 188–217, 2024, doi: 10.1016/j.indag.2024.05.001.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 31210
C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 34793
H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31190
J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023, doi: https://doi.org/10.2140/apde.2023.16.2241.
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 51383
J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters,” J. de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023.
LibreCat
2023 | Journal Article | LibreCat-ID: 51384
J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232, 2023.
LibreCat
2022 | Journal Article | LibreCat-ID: 35322
K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.
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2022 | Book Review | LibreCat-ID: 51554
J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.
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