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202 Publications
2024 | Journal Article | LibreCat-ID: 32101 | 
Ruelle-Taylor resonances 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 | 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 | 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: 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.
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 | 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: 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).
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 | 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 | 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.
2021 | Book Review | LibreCat-ID: 51555
Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020
J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.
LibreCat
| DOI
J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.
2021 | Journal Article | LibreCat-ID: 35702
Consultation Phases in Mathematics Learning and Support Centres
M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer, J. Hilgert, International Journal of Research in Undergraduate Mathematics Education 8 (2021) 94–120.
LibreCat
| DOI
M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer, J. Hilgert, International Journal of Research in Undergraduate Mathematics Education 8 (2021) 94–120.
2021 | Book | LibreCat-ID: 51493
Mathematik - Ein Reiseführer 2. Auflage
J. Hilgert, I. Hilgert, Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.
LibreCat
J. Hilgert, I. Hilgert, Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.
2020 | Journal Article | LibreCat-ID: 51386
Spectral Properties of Convex Bodies
J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
LibreCat
J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.