4 citations · 10 across the 7 of their papers we have counts for
10 papers · 1 filter
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…
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…
Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps
Pedro Duarte, Silvius Klein, Mauricio Poletti
Given a hyperbolic homeomorphism on a compact metric space, consider the space of linear cocycles over this base dynamics which are Hölder continuous and whose projective actions a…
Mixed Random-Quasiperiodic Cocycles
Ao Cai, Pedro Duarte, Silvius Klein
We introduce the concept of mixed random-quasiperiodic linear cocycles. We characterize the ergodicity of the base dynamics and establish a large deviations type estimate for certa…
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…
A random cocycle with non Hölder Lyapunov exponent
Pedro Duarte, Silvius Klein, Manuel Santos
We provide an example of a Schrödinger cocycle over a mixing Markov shift for which the integrated density of states has a very weak modulus of continuity, close to the log-Hölder…