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207 Publications
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2024 | Journal Article | LibreCat-ID: 32101 | 
Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, 1–36.
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2024 | Preprint | LibreCat-ID: 51501 |
Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric Spaces,” 2024.
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2023 | Journal Article | LibreCat-ID: 31210
Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 51383
Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique — Mathématiques 10 (2023): 335–403.
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2023 | Journal Article | LibreCat-ID: 51384
Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.
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2023 | Preprint | LibreCat-ID: 51499 |
Hilgert, Joachim, 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 |
Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector Valued Poisson Transforms for Graphs,” 2023.
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2023 | Preprint | LibreCat-ID: 51502 |
Hilgert, Joachim, 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 |
Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich. “Ruelle-Taylor Resonances of Anosov Actions,” 2023.
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2023 | Journal Article | LibreCat-ID: 34793
Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 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, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022): 659–81. https://doi.org/10.4171/jst/414.
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| DOI
2022 | Journal Article | LibreCat-ID: 51385
Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory 12 (2022): 659–81.
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2022 | Book Review | LibreCat-ID: 51554
Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, 2022. https://doi.org/10.1007/s00591-021-00314-7.
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2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021): 81–119. https://doi.org/10.5802/ahl.67.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.
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2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert, Joachim, and I. Hilgert, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 |
Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical Correspondence,” 2021.
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2021 | Book Review | LibreCat-ID: 51556
Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00295-7.
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2021 | Book Review | LibreCat-ID: 51555
Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00296-6.
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2021 | Journal Article | LibreCat-ID: 35702
Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper, Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics Learning and Support Centres.” International Journal of Research in Undergraduate Mathematics Education 8, no. 1 (2021): 94–120. https://doi.org/10.1007/s40753-021-00154-9.
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| DOI
2020 | Journal Article | LibreCat-ID: 51386
Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” J. of Lie Theory 30 (2020): 315–44.
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2020 | Book (Editor) | LibreCat-ID: 51488
Hilgert, Joachim, 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 |
Hilgert, Joachim, 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
Hilgert, Joachim. “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, 2020. https://doi.org/10.1007/s00591-020-00282-4.
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2020 | Book Review | LibreCat-ID: 51557
Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00283-3.
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2020 | Book Review | LibreCat-ID: 51561
Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00272-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51560
Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00280-6.
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2020 | Book Review | LibreCat-ID: 51564
Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-019-00254-3.
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2020 | Book Review | LibreCat-ID: 51563
Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-019-00254-3.
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2019 | Journal Article | LibreCat-ID: 51387
Hilgert, Joachim, A. Parthasarathy, and S. Hansen. “Resonances and Scattering Poles in Symmetric Spaces of Rank One.” Inter. Math. Research Notices 20 (2019): 6362–89.
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2019 | Preprint | LibreCat-ID: 51522
Hilgert, Joachim, and H. Barnum. “Strongly Symmetric Spectral Convex Bodies Are Jordan Algebra State Spaces,” 2019.
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2019 | Book Review | LibreCat-ID: 51568
Hilgert, Joachim. “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, 2019. https://doi.org/10.1007/s00591-018-0233-8.
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2019 | Book Review | LibreCat-ID: 51566
Hilgert, Joachim. “Brian W. Kernighan: Millions Billions Zillions – Defending Yourself in a World of Too Many Numbers. Princeton University Press 2018.” Mathematische Semesterberichte, 2019. https://doi.org/10.1007/s00591-019-00251-6.
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2019 | Book Review | LibreCat-ID: 51567
Hilgert, Joachim. “Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018).” Mathematische Semesterberichte , 2019. https://doi.org/10.1007/s00591-018-0234-7.
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2019 | Book Review | LibreCat-ID: 51569
Hilgert, Joachim. “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017).” Mathematische Semesterberichte, 2019. https://doi.org/10.1007/s00591-018-0226-7.
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2019 | Book Review | LibreCat-ID: 51565
Hilgert, Joachim. “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017.” Mathematische Semesterberichte, 2019. https://doi.org/10.1007/s00591-019-00247-2.
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2018 | Journal Article | LibreCat-ID: 51388
Hilgert, Joachim, T. Wurzbacher, and A. Alldridge. “Superorbits.” Journal of the Institute of Mathematics of Jussieu 17 (2018): 1065–1120. https://doi.org/10.1017/S147474801600030X.
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2018 | Journal Article | LibreCat-ID: 51389
Hilgert, Joachim, Tobias Weich, and C. Guillarmou. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Math. Ann. 370 (2018): 1231–75.
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2018 | Book Chapter | LibreCat-ID: 51462
Hilgert, Joachim. “Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung.” In Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung, edited by T. Nieland. Berlin: Frank&Timme, 2018.
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2018 | Preprint | LibreCat-ID: 51523 |
Hilgert, Joachim, S. Hansen, and A. Parthasarathy. “Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces,” 2018.
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2018 | Preprint | LibreCat-ID: 51524
Hilgert, Joachim, C. Guillarmou, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities,” 2018.
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2018 | Book Review | LibreCat-ID: 51571
Hilgert, Joachim. “Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017).” Mathematische Semesterberichte, 2018.
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2018 | Book Review | LibreCat-ID: 51572
Hilgert, Joachim. “Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017).” Mathematische Semesterberichte, 2018.
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2018 | Book Review | LibreCat-ID: 51570
Hilgert, Joachim. “Barry Mazur Und William Stein: Prime Numbers and the Riemann Hypothesis.” Mathematische Semesterberichte, 2018.
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2018 | Book Review | LibreCat-ID: 51574
Hilgert, Joachim. “Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016).” Mathematische Semesterberichte, 2018.
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2018 | Book Review | LibreCat-ID: 51573
Hilgert, Joachim. “Diaconis, P., B. Skyrms: Ten Great Ideas about Chance (Princeton University Press 2018).” Mathematische Semesterberichte, 2018.
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2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen 370, no. 3–4 (2017): 1231–75. https://doi.org/10.1007/s00208-017-1576-5.
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 51390
Hilgert, Joachim, T. Przebinda, and A. Pasquale. “Resonances for the Laplacian on Riemannian Symmetric Spaces: The Case of SL(3,R)/SO(3).” Representation Theory 21 (2017): 416–457. https://doi.org/10.1090/ert/506.
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