%0 Journal Article
%T Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting
%A Viviane Baladi
%A Enrique R. Pujals
%A Martin Sambarino
%J Mathematics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0307045v2