Dynamical zeta functions for Axiom A flows
Dynamical Systems
2018-06-22 v2
Abstract
We show that the Ruelle zeta function of any smooth Axiom A flow with orientable stable/unstable spaces has a meromorphic continuation to the entire complex plane. The proof uses the meromorphic continuation result of [arXiv:1410.5516] together with the work of Conley-Easton and [arXiv:1711.10059] which imply that every basic hyperbolic set can be put into the framework of [arXiv:1410.5516].
Cite
@article{arxiv.1801.00348,
title = {Dynamical zeta functions for Axiom A flows},
author = {Semyon Dyatlov and Colin Guillarmou},
journal= {arXiv preprint arXiv:1801.00348},
year = {2018}
}
Comments
6+eps pages, added references