Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting
Dynamical Systems
2007-05-23 v2
Abstract
We study the Ruelle dynamical determinant of a real analytic diffeomorphism on a compact surface, assuming that the tangent space over the nonwandering set admits a dominated splitting. Combining previous work of Pujals and Sambarino with methods introduced by Rugh, we show that the determinant is either entire or holomorphic in a (possibly multiply) slit plane.
Keywords
Cite
@article{arxiv.math/0307045,
title = {Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting},
author = {Viviane Baladi and Enrique R. Pujals and Martin Sambarino},
journal= {arXiv preprint arXiv:math/0307045},
year = {2007}
}
Comments
Revised version, some mistakes corrected (e.g. in Section 3)