Lyapunov spectrum for exceptional rational maps
Dynamical Systems
2010-12-14 v1
Abstract
We study the dimension spectrum for Lyapunov exponents for rational maps acting on the Riemann sphere and characterize it by means of the Legendre-Fenchel transform of the hidden variational pressure. This pressure is defined by means of the variational principle with respect to non-atomic invariant probability measures and is associated to certain -finite conformal measures. This allows to extend previous results to exceptional rational maps.
Cite
@article{arxiv.1012.2593,
title = {Lyapunov spectrum for exceptional rational maps},
author = {Katrin Gelfert and Feliks Przytycki and Michal Rams and Juan Rivera-Letelier},
journal= {arXiv preprint arXiv:1012.2593},
year = {2010}
}