Continuity of Lyapunov exponents for polynomial automorphisms of $\mathbb{C}^2$
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
We prove two continuity theorems for the Lyapunov exponents of the maximal entropy measure of polynomial automorphisms of . The first continuity result holds for any family of polynomial automorphisms of constant dynamical degree. The second result is the continuity of the upper exponent for families degenerating to a 1-dimensional map.
Keywords
Cite
@article{arxiv.math/0608583,
title = {Continuity of Lyapunov exponents for polynomial automorphisms of $\mathbb{C}^2$},
author = {Romain Dujardin},
journal= {arXiv preprint arXiv:math/0608583},
year = {2007}
}