• Corpus ID: 251402503

# Upper bound on the regularity of the Lyapunov exponent for random products of matrices

@inproceedings{Bezerra2022UpperBO,
title={Upper bound on the regularity of the Lyapunov exponent for random products of matrices},
author={Jamerson Bezerra and Pedro Duarte},
year={2022}
}
• Published 6 August 2022
• Mathematics
We prove that if µ is a ﬁnitely supported measure on SL 2 ( R ) with positive Lyapunov exponent but not uniformly hyperbolic, then the Lyapunov exponent function is not α -H¨older around µ for any α exceeding the Shannon entropy of µ over the Lyapunov exponent of µ .
2 Citations

## Figures from this paper

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