Extremal exponents of random products of conservative diffeomorphisms
Dynamical Systems
2021-02-12 v2
Abstract
We show that for a -open and -dense subset of the set of ergodic iterated function systems of conservative diffeomorphisms of a finite-volume manifold of dimension , the extremal Lyapunov exponents do not vanish. In particular, the set of non-uniform hyperbolic systems contains a -open and -dense subset of ergodic random products of i.i.d. conservative surface diffeomorphisms.
Keywords
Cite
@article{arxiv.1809.08619,
title = {Extremal exponents of random products of conservative diffeomorphisms},
author = {Pablo G. Barrientos and Dominique Malicet},
journal= {arXiv preprint arXiv:1809.08619},
year = {2021}
}