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207 Publications
2024 | Journal Article | LibreCat-ID: 32101 | 
Ruelle-Taylor resonaces of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
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T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
2024 | Preprint | LibreCat-ID: 51501 |
Quantum-Classical Correspondences for Locally Symmetric Spaces
J. Hilgert, (2024).
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J. Hilgert, (2024).
2023 | Journal Article | LibreCat-ID: 31190
Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
LibreCat
| arXiv
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
2023 | Preprint | LibreCat-ID: 51205
Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
LibreCat
| arXiv
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
2023 | Journal Article | LibreCat-ID: 31210
Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
LibreCat
| DOI
| arXiv
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
2023 | Journal Article | LibreCat-ID: 51383
Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters
J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
LibreCat
J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
2023 | Journal Article | LibreCat-ID: 51384
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
LibreCat
J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
2023 | Preprint | LibreCat-ID: 51499 |
A pairing formula for resonant states on finite regular graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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J. Hilgert, C. Arends, J. Frahm, (2023).
2023 | Preprint | LibreCat-ID: 51500 |
Edge Laplacians and vector valued Poisson transforms for graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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J. Hilgert, C. Arends, J. Frahm, (2023).
2023 | Preprint | LibreCat-ID: 51502 |
Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).
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J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).
2023 | Preprint | LibreCat-ID: 51521 |
Ruelle-Taylor resonances of Anosov actions
J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
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J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
2023 | Journal Article | LibreCat-ID: 34793
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
LibreCat
| DOI
| arXiv
H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
2022 | Journal Article | LibreCat-ID: 35322
Poisson transforms for trees of bounded degree
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
LibreCat
| DOI
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
2022 | Journal Article | LibreCat-ID: 51385
Poisson transforms for trees of bounded degree
J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.
LibreCat
J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.
2022 | Book Review | LibreCat-ID: 51554
Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021
J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.
LibreCat
| DOI
J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.
2021 | Journal Article | LibreCat-ID: 31263
High frequency limits for invariant Ruelle densities
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
LibreCat
| DOI
| arXiv
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
2021 | Journal Article | LibreCat-ID: 36271
Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
LibreCat
| DOI
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
2021 | Book (Editor) | LibreCat-ID: 51493
Mathematik - Ein Reiseführer 2. Auflage
J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.
LibreCat
J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.
2021 | Preprint | LibreCat-ID: 51503 |
Higher-rank quantum-classical correspondence
J. Hilgert, T. Weich, L. Wolf, (2021).
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J. Hilgert, T. Weich, L. Wolf, (2021).
2021 | Book Review | LibreCat-ID: 51556
Philip Ording: 99 Variations on a Proof. Princeton University Press 2019
J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.
LibreCat
| DOI
J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.