English

Zero entropy invariant measures for some skew product diffeomorphisms

Dynamical Systems 2008-12-17 v1

Abstract

In this paper we study some skew product diffeomorphisms with nonuniformly hyperbolic structure along fibers. We show that there is an invariant measure with zero entropy which has atomic conditional measures along fibers.

Keywords

Cite

@article{arxiv.0812.2944,
  title  = {Zero entropy invariant measures for some skew product diffeomorphisms},
  author = {Peng Sun},
  journal= {arXiv preprint arXiv:0812.2944},
  year   = {2008}
}

Comments

7 pages, submitted to Ergodic Theory and Dynamical Systems

R2 v1 2026-06-21T11:52:27.119Z