High frequency limits for invariant Ruelle densities

DOI10.5802/ahl.67zbMath1498.37035arXiv1803.06717OpenAlexW3123717339MaRDI QIDQ2077149

Joachim Hilgert, Tobias Weich, Colin Guillarmou

Publication date: 24 February 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06717

zbMATH Keywords

quantum ergodicitysemi-classical measuresRuelle resonances

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Differential geometry of symmetric spaces (53C35) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (9)

Ruelle-Pollicott resonances for manifolds with hyperbolic cusps ⋮ Spectral asymptotics for kinetic Brownian motion on surfaces of constant curvature ⋮ Semiclassical formulae for Wigner distributions ⋮ The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds ⋮ Higher rank quantum-classical correspondence ⋮ Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters ⋮ Meromorphic continuation of weighted zeta functions on open hyperbolic systems ⋮ Mini-workshop: (Anosov)\(^3\). Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ Poisson transforms for trees of bounded degree

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