2 papers
math.DS2025
Statistical properties for mixing Markov chains with applications to dynamical systems
Ao Cai, Pedro Duarte, Silvius Klein
We establish an abstract, effective, exponential large deviations type estimate for Markov systems satisfying a weaker form of mixing. We employ this result to derive such estimate…
math.DS2025
Abstract Continuity Theorem for the Lyapunov Exponents of linear cocycles
Ao Cai, Xiaojuan Deng
We prove the Hölder continuity of Lyapunov exponents for general linear cocycles when the base measures vary in Wasserstein distance, under the assumption of uniform large deviati…