3 papers
math.DS2026
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.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
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…