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math.DS2025
Analyticity of the Lyapunov exponents of random products of matrices
Artur Amorim, Marcelo Durães, Aline Melo
This paper is concerned with the study of random (Bernoulli and Markovian) product of matrices on a compact space of symbols. We establish the analyticity of the maximal Lyapunov e…
math.DS2022★ 1 cited
Hölder continuity of the Lyapunov exponent for Markov cocycles via Furstenberg's Formula
Ao Cai, Marcelo Durães, Silvius Klein +1
This paper is concerned with the study of linear cocycles over uniformly ergodic Markov shifts on a compact space of symbols. We establish the joint Hölder continuity of the maxima…
math.DS2019
Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps
Silvius Klein, Xiao-Chuan Liu, Aline Melo
We obtain estimates on the uniform convergence rate of the Birkhoff average of a continuous observable over torus translations and affine skew product toral transformations. The co…