Bound on the number of Ruelle resonances for Gevrey hyperbolic flows
arXiv:2604.13702
Abstract
We improve the best known upper bounds on the number of Ruelle resonances in disks of large radius for Gevrey uniformly hyperbolic flows. The proof is based on Rugh's approach of dynamical determinants that replaces the study of the flow itself by the analysis of a system of open hyperbolic maps.