Degenerations of SL(2,C) representations and Lyapunov exponents
Dynamical Systems
2018-03-21 v1 Geometric Topology
Abstract
We study the asymptotic behavior of the Lyapunov exponent in a meromorphic family of random products of matrices in SL(2, C), as the parameter converges to a pole. We show that the blow-up of the Lyapunov exponent is governed by a quantity which can be interpreted as the non-Archimedean Lyapunov exponent of the family. We also describe the limit of the corresponding family of stationary measures on P 1 (C).
Keywords
Cite
@article{arxiv.1803.07324,
title = {Degenerations of SL(2,C) representations and Lyapunov exponents},
author = {Romain Dujardin and Charles Favre},
journal= {arXiv preprint arXiv:1803.07324},
year = {2018}
}