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math.DS2022
A dynamical Thouless formula
Jamerson Bezerra, Ao Cai, Pedro Duarte +2
In this paper we establish an abstract, dynamical Thouless-type formula for affine families of cocycles. This result extends the classical formula rela…
math.DS2022
Upper bound on the regularity of the Lyapunov exponent for random products of matrices
Jamerson Bezerra, Pedro Duarte
We prove that if is a finitely supported measure on with positive Lyapunov exponent but not uniformly hyperbolic, then the Lyapunov exponent function…