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