3 papers
math.DS2025
Random 2D linear cocycles II: statistical properties
Pedro Duarte, Marcelo Durães, Tomé Graxinha +1
Consider the space of two dimensional random linear cocycles over a shift in finitely many symbols, with at least one singular and one invertible matrix. We provide an explicit for…
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
Random 2D linear cocycles I: dichotomic behavior
Pedro Duarte, Marcelo Durães, Tomé Graxinha +1
In this paper we establish a Bochi-Mañé type dichotomy in the space of two dimensional, nonnegative determinant matrix valued, locally constant linear cocycles over a Bernoulli o…