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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 or…