CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici 2023

Upper bound on the regularity of Lyapunov exponents of random product of matrices

speaker: Jamerson Bezerra (Nicolaus Copernicus University)

abstract: The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contributions in the past years. It is well established in the literature that the function which associates each finite supported measure $\mu$ its Lyapunov exponents $L(\mu)$ is continuous, however, in general, it can have really poor modulus of continuity. The purpose of this talk is to present a quantitative result on the control of the modulus of continuity for generic finitely supported measures $\mu$. More specifically, we provide an explicit upper bound on the local Holder regularity of the Lyapunov for this generic class.

Wed 29 Mar, 16:00 - 17:00, Sala Conferenze Centro De Giorgi
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