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207 Publications
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2024 | Journal Article | LibreCat-ID: 32101 | 
Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36.
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2024 | Preprint | LibreCat-ID: 51501 |
Hilgert, J. (2024). Quantum-Classical Correspondences for Locally Symmetric Spaces.
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2023 | Journal Article | LibreCat-ID: 31210
Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 51383
Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J. de l’École Polytechnique — Mathématiques, 10, 335–403.
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2023 | Journal Article | LibreCat-ID: 51384
Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232.
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2023 | Preprint | LibreCat-ID: 51499 |
Hilgert, J., Arends, C., & Frahm, J. (2023). A pairing formula for resonant states on finite regular graphs.
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2023 | Preprint | LibreCat-ID: 51500 |
Hilgert, J., Arends, C., & Frahm, J. (2023). Edge Laplacians and vector valued Poisson transforms for graphs.
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2023 | Preprint | LibreCat-ID: 51502 |
Hilgert, J., Baier, T., Kaya, O., Mourao, J., & Nunes, J. (2023). Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.
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2023 | Preprint | LibreCat-ID: 51521 |
Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023). Ruelle-Taylor resonances of Anosov actions.
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2023 | Journal Article | LibreCat-ID: 34793
Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations, 343, 186–232. https://doi.org/10.1016/j.jde.2022.10.001
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
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| DOI
2022 | Journal Article | LibreCat-ID: 51385
Hilgert, J., Weich, T., & Bux, K.-U. (2022). Poisson transforms for trees of bounded degree. J. of Spectral Theory, 12, 659–681.
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2022 | Book Review | LibreCat-ID: 51554
Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. In Mathematische Semesterberichte (Vol. 69, pp. 151–153). https://doi.org/10.1007/s00591-021-00314-7
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| DOI
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119. https://doi.org/10.5802/ahl.67
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
Brennecken, D., Hilgert, J., & Ciardo, L. (2021). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of Lie Theory, 31(2), 459--468. https://doi.org/10.48550/arXiv.2008.07479
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2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert, J., & Hilgert, I. (Eds.). (2021). Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum.
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2021 | Preprint | LibreCat-ID: 51503 |
Hilgert, J., Weich, T., & Wolf, L. (2021). Higher-rank quantum-classical correspondence.
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2021 | Book Review | LibreCat-ID: 51556
Hilgert, J. (2021). Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 68, pp. 171–173). https://doi.org/10.1007/s00591-021-00295-7
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2021 | Book Review | LibreCat-ID: 51555
Hilgert, J. (2021). Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. In Mathematische Semesterberichte (Vol. 68, pp. 175–177). https://doi.org/10.1007/s00591-021-00296-6
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| DOI
2021 | Journal Article | LibreCat-ID: 35702
Schürmann, M., Panse, A., Shaikh, Z., Biehler, R., Schaper, N., Liebendörfer, M., & Hilgert, J. (2021). Consultation Phases in Mathematics Learning and Support Centres. International Journal of Research in Undergraduate Mathematics Education, 8(1), 94–120. https://doi.org/10.1007/s40753-021-00154-9
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| DOI
2020 | Journal Article | LibreCat-ID: 51386
Hilgert, J., & Barnum, H. (2020). Spectral Properties of Convex Bodies. J. of Lie Theory, 30, 315–344.
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2020 | Book (Editor) | LibreCat-ID: 51488
Hilgert, J. (Ed.). (2020). Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum.
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2020 | Preprint | LibreCat-ID: 51520 |
Hilgert, J., Brennecken, D., & Ciardo, L. (2020). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ).
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2020 | Book Review | LibreCat-ID: 51559
Hilgert, J. (2020). 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. In Mathematische Semesterberichte (Vol. 67, pp. 301–305). https://doi.org/10.1007/s00591-020-00282-4
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| DOI
2020 | Book Review | LibreCat-ID: 51557
Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. In Mathematische Semesterberichte (Vol. 67, pp. 307–309). https://doi.org/10.1007/s00591-020-00283-3
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| DOI
2020 | Book Review | LibreCat-ID: 51561
Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 67, pp. 123–124). https://doi.org/10.1007/s00591-020-00272-6
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| DOI
2020 | Book Review | LibreCat-ID: 51560
Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 67, pp. 297–299). https://doi.org/10.1007/s00591-020-00280-6
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| DOI
2020 | Book Review | LibreCat-ID: 51564
Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In Mathematische Semesterberichte (Vol. 67, pp. 97–98). https://doi.org/10.1007/s00591-019-00254-3
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| DOI
2020 | Book Review | LibreCat-ID: 51563
Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). In Mathematische Semesterberichte (Vol. 67, pp. 109–111). https://doi.org/10.1007/s00591-019-00254-3
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2019 | Journal Article | LibreCat-ID: 51387
Hilgert, J., Parthasarathy, A., & Hansen, S. (2019). Resonances and Scattering Poles in Symmetric Spaces of Rank One. Inter. Math. Research Notices, 20, 6362–6389.
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2019 | Preprint | LibreCat-ID: 51522
Hilgert, J., & Barnum, H. (2019). Strongly symmetric spectral convex bodies are Jordan algebra state spaces.
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2019 | Book Review | LibreCat-ID: 51568
Hilgert, J. (2019). 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. In Mathematische Semesterberichte (Vol. 66, pp. 247–249). https://doi.org/10.1007/s00591-018-0233-8
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| DOI
2019 | Book Review | LibreCat-ID: 51566
Hilgert, J. (2019). Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018. In Mathematische Semesterberichte (Vol. 66, pp. 261–262). https://doi.org/10.1007/s00591-019-00251-6
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| DOI
2019 | Book Review | LibreCat-ID: 51567
Hilgert, J. (2019). Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018). In Mathematische Semesterberichte (Vol. 66, pp. 257–258). https://doi.org/10.1007/s00591-018-0234-7
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| DOI
2019 | Book Review | LibreCat-ID: 51569
Hilgert, J. (2019). Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017). In Mathematische Semesterberichte (Vol. 66, pp. 127–129). https://doi.org/10.1007/s00591-018-0226-7
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| DOI
2019 | Book Review | LibreCat-ID: 51565
Hilgert, J. (2019). Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017. In Mathematische Semesterberichte (Vol. 66, pp. 263–264). https://doi.org/10.1007/s00591-019-00247-2
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| DOI
2018 | Journal Article | LibreCat-ID: 51388
Hilgert, J., Wurzbacher, T., & Alldridge, A. (2018). Superorbits. Journal of the Institute of Mathematics of Jussieu, 17, 1065–1120. https://doi.org/10.1017/S147474801600030X
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2018 | Journal Article | LibreCat-ID: 51389
Hilgert, J., Weich, T., & Guillarmou, C. (2018). Classical and quantum resonances for hyperbolic surfaces. Math. Ann., 370, 1231–1275.
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2018 | Book Chapter | LibreCat-ID: 51462
Hilgert, J. (2018). Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung. In T. Nieland (Ed.), Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung. Frank&Timme.
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2018 | Preprint | LibreCat-ID: 51523 |
Hilgert, J., Hansen, S., & Parthasarathy, A. (2018). Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces.
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2018 | Preprint | LibreCat-ID: 51524
Hilgert, J., Guillarmou, C., & Weich, T. (2018). High frequency limits for invariant Ruelle densities.
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2018 | Book Review | LibreCat-ID: 51571
Hilgert, J. (2018). Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017). In Mathematische Semesterberichte (Vol. 65, pp. 307–309).
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2018 | Book Review | LibreCat-ID: 51572
Hilgert, J. (2018). Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017). In Mathematische Semesterberichte (Vol. 65, pp. 129–131).
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2018 | Book Review | LibreCat-ID: 51570
Hilgert, J. (2018). Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis. In Mathematische Semesterberichte (Vol. 65, pp. 311–313).
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2018 | Book Review | LibreCat-ID: 51574
Hilgert, J. (2018). Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016). In Mathematische Semesterberichte (Vol. 65, pp. 121–123).
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2018 | Book Review | LibreCat-ID: 51573
Hilgert, J. (2018). Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018). In Mathematische Semesterberichte (Vol. 65, pp. 125–127).
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2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, C., Hilgert, J., & Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen, 370(3–4), 1231–1275. https://doi.org/10.1007/s00208-017-1576-5
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 51390
Hilgert, J., Przebinda, T., & Pasquale, A. (2017). Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3). Representation Theory, 21, 416–457. https://doi.org/10.1090/ert/506
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