Ruelle-Taylor resonaces of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.

Quantum-Classical Correspondences for Locally Symmetric Spaces
J. Hilgert, (2024).

Quantum resonances and scattering poles of classical rank one locally  symmetric spaces
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).

Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis &; PDE 16 (2023) 2241–2265.

Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).

Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.

Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters
J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.

Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.

A pairing formula for resonant states on finite regular graphs
J. Hilgert, C. Arends, J. Frahm, (2023).

Edge Laplacians and vector valued Poisson transforms for graphs
J. Hilgert, C. Arends, J. Frahm, (2023).

Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).

Ruelle-Taylor resonances of Anosov actions
J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).

Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.

Poisson transforms for trees of bounded degree
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.

Poisson transforms for trees of bounded degree
J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.

Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021
J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.

High frequency limits for invariant Ruelle densities
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.

Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.

Mathematik - Ein Reiseführer 2. Auflage
J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.

Higher-rank quantum-classical correspondence
J. Hilgert, T. Weich, L. Wolf, (2021).