Existence of SRB Measures for A Class of Partially Hyperbolic Attractors in Banach spaces

Abstract

In this paper, we study the existence of SRB measures for infinite dimensional dynamical systems in a Banach space. We show that if the system has a partially hyperbolic attractor with nontrivial finite dimensional unstable directions, then it has an SRB measure.

arXiv admin note: text overlap with arXiv:1508.03301