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200 Publications
2025 | Journal Article | LibreCat-ID: 58402
Fibering polarizations and Mabuchi rays on symmetric spaces of compact type
T. Baier, A.C. Ferreira, J. Hilgert, J.M. Mourão, J.P. Nunes, Analysis and Mathematical Physics 15 (2025).
LibreCat
| DOI
T. Baier, A.C. Ferreira, J. Hilgert, J.M. Mourão, J.P. Nunes, Analysis and Mathematical Physics 15 (2025).
2025 | Book Chapter | LibreCat-ID: 58587
Quantum-Classical Correspondences for Locally Symmetric Spaces
J. Hilgert, in: Symmetry in Geometry and Analysis, Volume 2, 2025.
LibreCat
| DOI
| Download (ext.)
J. Hilgert, in: Symmetry in Geometry and Analysis, Volume 2, 2025.
2025 | Journal Article | LibreCat-ID: 59344
Edge Laplacians and Edge Poisson Transforms for Graphs
C. Arends, J. Frahm, J. Hilgert, Potential Analysis (2025).
LibreCat
| DOI
C. Arends, J. Frahm, J. Hilgert, Potential Analysis (2025).
2025 | Journal Article | LibreCat-ID: 59343
A pairing formula for resonant states on finite regular graphs
C. Arends, J. Frahm, J. Hilgert, Mathematische Annalen (2025).
LibreCat
| DOI
C. Arends, J. Frahm, J. Hilgert, Mathematische Annalen (2025).
2024 | Preprint | LibreCat-ID: 53413
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
LibreCat
| arXiv
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
2024 | Book | LibreCat-ID: 55193
Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik
M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
LibreCat
| DOI
M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
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.
LibreCat
| Files available
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
2024 | Journal Article | LibreCat-ID: 57498
Quantization in fibering polarizations, Mabuchi rays and geometric Peter–Weyl theorem
T. Baier, J. Hilgert, O. Kaya, J.M. Mourão, J.P. Nunes, Journal of Geometry and Physics 207 (2024).
LibreCat
| DOI
T. Baier, J. Hilgert, O. Kaya, J.M. Mourão, J.P. Nunes, Journal of Geometry and Physics 207 (2024).
2024 | Journal Article | LibreCat-ID: 58103
Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, Indagationes Mathematicae 36 (2024) 188–217.
LibreCat
| DOI
K.-U. Bux, J. Hilgert, T. Weich, Indagationes Mathematicae 36 (2024) 188–217.
2024 | Book | LibreCat-ID: 57590
Mathematische Strukturen 2. Auflage
J. Hilgert, Mathematische Strukturen 2. Auflage, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.
LibreCat
| DOI
J. Hilgert, Mathematische Strukturen 2. Auflage, Springer Berlin Heidelberg, Berlin, Heidelberg, 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 | 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 | 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 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.