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207 Publications
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2024 | Journal Article | LibreCat-ID: 32101 | 
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.
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2024 | Preprint | LibreCat-ID: 51501 |
J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.” 2024.
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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.
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| 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.
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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.
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2023 | Preprint | LibreCat-ID: 51499 |
J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states on finite regular graphs.” 2023.
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2023 | Preprint | LibreCat-ID: 51500 |
J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson transforms for graphs.” 2023.
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2023 | Preprint | LibreCat-ID: 51502 |
J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023.
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2023 | Preprint | LibreCat-ID: 51521 |
J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor resonances of Anosov actions.” 2023.
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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
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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| DOI
2022 | Journal Article | LibreCat-ID: 51385
J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded degree,” J. of Spectral Theory, vol. 12, pp. 659–681, 2022.
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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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| DOI
2021 | Journal Article | LibreCat-ID: 31263
C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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2021 | Book (Editor) | LibreCat-ID: 51493
J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 |
J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.
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2021 | Book Review | LibreCat-ID: 51556
J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi: 10.1007/s00591-021-00295-7.
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| DOI
2021 | Book Review | LibreCat-ID: 51555
J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 35702
M. Schürmann et al., “Consultation Phases in Mathematics Learning and Support Centres,” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.
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| DOI
2020 | Journal Article | LibreCat-ID: 51386
J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” J. of Lie Theory, vol. 30, pp. 315–344, 2020.
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2020 | Book (Editor) | LibreCat-ID: 51488
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 |
J. Hilgert, D. Brennecken, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ).” 2020.
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2020 | Book Review | LibreCat-ID: 51559
J. Hilgert, “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,” Mathematische Semesterberichte, vol. 67. pp. 301–305, 2020, doi: 10.1007/s00591-020-00282-4.
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| DOI
2020 | Book Review | LibreCat-ID: 51557
J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020,” Mathematische Semesterberichte, vol. 67. pp. 307–309, 2020, doi: 10.1007/s00591-020-00283-3.
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2020 | Book Review | LibreCat-ID: 51561
J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 123–124, 2020, doi: 10.1007/s00591-020-00272-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51560
J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 297–299, 2020, doi: 10.1007/s00591-020-00280-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51564
J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” Mathematische Semesterberichte, vol. 67. pp. 97–98, 2020, doi: 10.1007/s00591-019-00254-3.
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| DOI
2020 | Book Review | LibreCat-ID: 51563
J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019),” Mathematische Semesterberichte, vol. 67. pp. 109–111, 2020, doi: 10.1007/s00591-019-00254-3.
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2019 | Journal Article | LibreCat-ID: 51387
J. Hilgert, A. Parthasarathy, and S. Hansen, “Resonances and Scattering Poles in Symmetric Spaces of Rank One,” Inter. Math. Research Notices, vol. 20, pp. 6362–6389, 2019.
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2019 | Preprint | LibreCat-ID: 51522
J. Hilgert and H. Barnum, “Strongly symmetric spectral convex bodies are Jordan algebra state spaces.” 2019.
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2019 | Book Review | LibreCat-ID: 51568
J. Hilgert, “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,” Mathematische Semesterberichte, vol. 66. pp. 247–249, 2019, doi: 10.1007/s00591-018-0233-8.
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2019 | Book Review | LibreCat-ID: 51566
J. Hilgert, “Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018,” Mathematische Semesterberichte, vol. 66. pp. 261–262, 2019, doi: 10.1007/s00591-019-00251-6.
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| DOI
2019 | Book Review | LibreCat-ID: 51567
J. Hilgert, “Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018),” Mathematische Semesterberichte , vol. 66. pp. 257–258, 2019, doi: 10.1007/s00591-018-0234-7.
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2019 | Book Review | LibreCat-ID: 51569
J. Hilgert, “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017),” Mathematische Semesterberichte, vol. 66. pp. 127–129, 2019, doi: 10.1007/s00591-018-0226-7.
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| DOI
2019 | Book Review | LibreCat-ID: 51565
J. Hilgert, “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017,” Mathematische Semesterberichte, vol. 66. pp. 263–264, 2019, doi: 10.1007/s00591-019-00247-2.
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| DOI
2018 | Journal Article | LibreCat-ID: 51388
J. Hilgert, T. Wurzbacher, and A. Alldridge, “Superorbits,” Journal of the Institute of Mathematics of Jussieu, vol. 17, pp. 1065–1120, 2018, doi: 10.1017/S147474801600030X.
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2018 | Journal Article | LibreCat-ID: 51389
J. Hilgert, T. Weich, and C. Guillarmou, “Classical and quantum resonances for hyperbolic surfaces,” Math. Ann., vol. 370, pp. 1231–1275, 2018.
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2018 | Book Chapter | LibreCat-ID: 51462
J. Hilgert, “Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung,” in Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung, T. Nieland, Ed. Berlin: Frank&Timme, 2018.
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2018 | Preprint | LibreCat-ID: 51523 |
J. Hilgert, S. Hansen, and A. Parthasarathy, “Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces.” 2018.
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2018 | Preprint | LibreCat-ID: 51524
J. Hilgert, C. Guillarmou, and T. Weich, “High frequency limits for invariant Ruelle densities.” 2018.
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2018 | Book Review | LibreCat-ID: 51571
J. Hilgert, “Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017),” Mathematische Semesterberichte, vol. 65. pp. 307–309, 2018.
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2018 | Book Review | LibreCat-ID: 51572
J. Hilgert, “Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017),” Mathematische Semesterberichte, vol. 65. pp. 129–131, 2018.
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2018 | Book Review | LibreCat-ID: 51570
J. Hilgert, “Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis,” Mathematische Semesterberichte, vol. 65. pp. 311–313, 2018.
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2018 | Book Review | LibreCat-ID: 51574
J. Hilgert, “Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016),” Mathematische Semesterberichte, vol. 65. pp. 121–123, 2018.
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2018 | Book Review | LibreCat-ID: 51573
J. Hilgert, “Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018),” Mathematische Semesterberichte, vol. 65. pp. 125–127, 2018.
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2017 | Journal Article | LibreCat-ID: 31267
C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: 10.1007/s00208-017-1576-5.
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 51390
J. Hilgert, T. Przebinda, and A. Pasquale, “Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3),” Representation Theory, vol. 21, pp. 416–457, 2017, doi: 10.1090/ert/506.
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