T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.
LibreCat: /record/32101

J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.” 2024.
LibreCat: /record/51501

B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally  symmetric spaces,” arXiv:2403.14426. 2024.
LibreCat: /record/53413
arXiv: 2403.14426

J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” Analysis &; PDE, vol. 16, no. 10, pp. 2241–2265, 2023.
LibreCat: /record/31190
arXiv: 2103.05667

K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” arXiv:2307.10876. 2023.
LibreCat: /record/51205
arXiv: 2307.10876

C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,”10.5802/jep.220__Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi:10.5802/jep.220 .
LibreCat: /record/31210
DOI: 10.5802/jep.220
arXiv: 2112.11073

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.
LibreCat: /record/51383

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.
LibreCat: /record/51384

J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states on finite regular graphs.” 2023.
LibreCat: /record/51499

J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson transforms for graphs.” 2023.
LibreCat: /record/51500

J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023.
LibreCat: /record/51502

J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor resonances of Anosov actions.” 2023.
LibreCat: /record/51521

H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,”10.1016/j.jde.2022.10.001__Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi:10.1016/j.jde.2022.10.001 .
LibreCat: /record/34793
DOI: 10.1016/j.jde.2022.10.001
arXiv: 2007.11277

K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,”10.4171/jst/414__Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi:10.4171/jst/414 .
LibreCat: /record/35322
DOI: 10.4171/jst/414

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.
LibreCat: /record/51385

J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,”10.1007/s00591-021-00314-7__Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi:10.1007/s00591-021-00314-7 .
LibreCat: /record/51554
DOI: 10.1007/s00591-021-00314-7

C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,”10.5802/ahl.67__Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi:10.5802/ahl.67 .
LibreCat: /record/31263
DOI: 10.5802/ahl.67
arXiv: 1803.06717

D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),”10.48550/arXiv.2008.07479__Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi:10.48550/arXiv.2008.07479 .
LibreCat: /record/36271
DOI: 10.48550/arXiv.2008.07479

J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
LibreCat: /record/51493

J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.
LibreCat: /record/51503