English

Counterexamples to Ruelle's inequality in the noncompact case

Dynamical Systems 2015-10-20 v1

Abstract

In this paper we show that there exists a large family of smooth dynamical systems defined over noncompact spaces that does not satisfy Ruelle's inequality between entropy and Lyapunov exponents.

Keywords

Cite

@article{arxiv.1510.05031,
  title  = {Counterexamples to Ruelle's inequality in the noncompact case},
  author = {Felipe Riquelme},
  journal= {arXiv preprint arXiv:1510.05031},
  year   = {2015}
}

Comments

14 pages, 4 figures