Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures
Dynamical Systems
2019-08-22 v1
Abstract
In this paper, we consider a monic, centred, hyperbolic polynomial of degree , restricted on its Julia set and compute its Lyapunov exponents with respect to certain weighted Lyubich's measures. In particular, we show a certain well-behavedness of some coefficients of the Lyapunov exponents, that quantifies the non-well-behavedness in a system.
Keywords
Cite
@article{arxiv.1908.07711,
title = {Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures},
author = {Shrihari Sridharan and Atma Ram Tiwari},
journal= {arXiv preprint arXiv:1908.07711},
year = {2019}
}