Connectedness of the set of central Lyapunov exponents

Abbas Fakhari

Connectedness of the set of central Lyapunov exponents

Dynamical Systems 2017-10-03 v2

Authors: Abbas Fakhari

Abstract

We show that there is a residual subset $\mathcal{R}$ of $Diff^1(M)$ such that for any $f\in\mathcal{R}$ and any partially hyperbolic homoclinic class $H(p,f)$ with one dimensional center direction, the set of central Lyapunov exponents associated with the ergodic with either full support or positive entropy is an interval.

Keywords

central Lyapunov exponents partially hyperbolic homoclinic class residual subset ergodic measures connectedness

Cite

@article{arxiv.1304.5425,
  title  = {Connectedness of the set of central Lyapunov exponents},
  author = {Abbas Fakhari},
  journal= {arXiv preprint arXiv:1304.5425},
  year   = {2017}
}

Comments

12 pages, 3 figures

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