Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
Dynamical Systems
2019-05-23 v2
Abstract
We prove that for semi-invertible and H\"older continuous linear cocycles acting on an arbitrary Banach space and defined over a base space that satisfies the Anosov Closing Property, all exceptional Lyapunov exponents of with respect to an ergodic invariant measure for base dynamics can be approximated with Lyapunov exponents of with respect to ergodic measures supported on periodic orbits. Our result is applicable to a wide class of infinite-dimensional dynamical systems.
Keywords
Cite
@article{arxiv.1708.00487,
title = {Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles},
author = {Lucas Backes and Davor Dragicevic},
journal= {arXiv preprint arXiv:1708.00487},
year = {2019}
}
Comments
Revised version following the suggestions of referees. Accepted for publication in Annales Academiae Scientiarum Fennicae