@article{31190,
abstract = {{For a compact Riemannian locally symmetric space $\Gamma\backslash G/K$ of
arbitrary rank we determine the location of certain Ruelle-Taylor resonances
for the Weyl chamber action. We provide a Weyl-lower bound on an appropriate
counting function for the Ruelle-Taylor resonances and establish a spectral gap
which is uniform in $\Gamma$ if $G/K$ is irreducible of higher rank. This is
achieved by proving a quantum-classical correspondence, i.e. a
1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant
states and joint eigenfunctions of the algebra of invariant differential
operators on $G/K$.}},
author = {{Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}},
journal = {{Analysis & PDE}},
number = {{10}},
pages = {{2241–2265}},
publisher = {{MSP}},
title = {{{Higher rank quantum-classical correspondence}}},
volume = {{16}},
year = {{2023}},
}