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207 Publications


2024 | Journal Article | LibreCat-ID: 32101 | OA
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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2024 | Preprint | LibreCat-ID: 51501 | OA
Quantum-Classical Correspondences for Locally Symmetric Spaces
J. Hilgert, (2024).
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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
 

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
 

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
 

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
 

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.
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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.
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2023 | Preprint | LibreCat-ID: 51499 | OA
A pairing formula for resonant states on finite regular graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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2023 | Preprint | LibreCat-ID: 51500 | OA
Edge Laplacians and vector valued Poisson transforms for graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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2023 | Preprint | LibreCat-ID: 51502 | OA
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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2023 | Preprint | LibreCat-ID: 51521 | OA
Ruelle-Taylor resonances of Anosov actions
J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
LibreCat | Download (ext.)
 

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
 

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
 

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.
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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
 

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
 

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
 

2021 | Book (Editor) | LibreCat-ID: 51493
Mathematik - Ein Reiseführer 2. Auflage
J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 | OA
Higher-rank quantum-classical correspondence
J. Hilgert, T. Weich, L. Wolf, (2021).
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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
 

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
 

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
 

2020 | Journal Article | LibreCat-ID: 51386
Spectral Properties of Convex Bodies
J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
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2020 | Book (Editor) | LibreCat-ID: 51488
Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen
J. Hilgert, ed., Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen, Springer Spektrum, 2020.
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2020 | Preprint | LibreCat-ID: 51520 | OA
Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ)
J. Hilgert, D. Brennecken, L. Ciardo, (2020).
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2020 | Book Review | LibreCat-ID: 51559
Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019
J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.
LibreCat | DOI
 

2020 | Book Review | LibreCat-ID: 51557
Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020
J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.
LibreCat | DOI
 

2020 | Book Review | LibreCat-ID: 51561
Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019
J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.
LibreCat | DOI
 

2020 | Book Review | LibreCat-ID: 51560
David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019
J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299.
LibreCat | DOI
 

2020 | Book Review | LibreCat-ID: 51564
Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)
J. Hilgert, Mathematische Semesterberichte 67 (2020) 97–98.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 51387
Resonances and Scattering Poles in Symmetric Spaces of Rank One
J. Hilgert, A. Parthasarathy, S. Hansen, Inter. Math. Research Notices 20 (2019) 6362–6389.
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2019 | Preprint | LibreCat-ID: 51522
Strongly symmetric spectral convex bodies are Jordan algebra state spaces
J. Hilgert, H. Barnum, (2019).
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2019 | Book Review | LibreCat-ID: 51568
Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015
J. Hilgert, Mathematische Semesterberichte 66 (2019) 247–249.
LibreCat | DOI
 

2019 | Book Review | LibreCat-ID: 51566
Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018
J. Hilgert, Mathematische Semesterberichte 66 (2019) 261–262.
LibreCat | DOI
 

2019 | Book Review | LibreCat-ID: 51567
Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018)
J. Hilgert, Mathematische Semesterberichte 66 (2019) 257–258.
LibreCat | DOI
 

2019 | Book Review | LibreCat-ID: 51569
Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017)
J. Hilgert, Mathematische Semesterberichte 66 (2019) 127–129.
LibreCat | DOI
 

2019 | Book Review | LibreCat-ID: 51565
Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017
J. Hilgert, Mathematische Semesterberichte 66 (2019) 263–264.
LibreCat | DOI
 

2019 | Book Chapter | LibreCat-ID: 51610
Heilung durch Kunst? Schlingensiefs Reenactments der Avantgarden der Performancekunst (Ball, Brus, Beuys und Nitsch)
J. Hilgert, in: L. Knapp, S. Pogoda (Eds.), Schlingensief und die Avantgarden, Fink, München, 2019.
LibreCat
 

2018 | Journal Article | LibreCat-ID: 51388
Superorbits
J. Hilgert, T. Wurzbacher, A. Alldridge, Journal of the Institute of Mathematics of Jussieu 17 (2018) 1065–1120.
LibreCat | DOI | Download (ext.)
 

2018 | Journal Article | LibreCat-ID: 51389
Classical and quantum resonances for hyperbolic surfaces
J. Hilgert, T. Weich, C. Guillarmou, Math. Ann. 370 (2018) 1231–1275.
LibreCat
 

2018 | Book Chapter | LibreCat-ID: 51462
Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung
J. Hilgert, in: T. Nieland (Ed.), Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung, Frank&Timme, Berlin, 2018.
LibreCat
 

2018 | Preprint | LibreCat-ID: 51523 | OA
Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces
J. Hilgert, S. Hansen, A. Parthasarathy, (2018).
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2018 | Preprint | LibreCat-ID: 51524
High frequency limits for invariant Ruelle densities
J. Hilgert, C. Guillarmou, T. Weich, (2018).
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2018 | Book Review | LibreCat-ID: 51571
Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017)
J. Hilgert, Mathematische Semesterberichte 65 (2018) 307–309.
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2018 | Book Review | LibreCat-ID: 51572
Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017)
J. Hilgert, Mathematische Semesterberichte 65 (2018) 129–131.
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2018 | Book Review | LibreCat-ID: 51570
Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis
J. Hilgert, Mathematische Semesterberichte 65 (2018) 311–313.
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2018 | Book Review | LibreCat-ID: 51574
Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016)
J. Hilgert, Mathematische Semesterberichte 65 (2018) 121–123.
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2018 | Book Review | LibreCat-ID: 51573
Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018)
J. Hilgert, Mathematische Semesterberichte 65 (2018) 125–127.
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2017 | Journal Article | LibreCat-ID: 31267
Classical and quantum resonances for hyperbolic surfaces
C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.
LibreCat | DOI | arXiv
 

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