26 citations · 151 across the 27 of their papers we have counts for
4 papers · 1 filter
Pointwise Hölder continuity of Lyapunov exponents of random matrix products
Pablo G. Barrientos
We prove that if the first Lyapunov exponent of a compactly supported random matrix product is simple, then it is pointwise Hölder continuous for the Wasserstein--Hausdorff distanc…
Limit theorems for random matrix products with a simple top Lyapunov exponent
Pablo G. Barrientos, Dominique Malicet
We study products of independent, identically distributed random matrices with an exponential moment and a simple top Lyapunov exponent, without assuming irreducibility. Outside an…
(co)Quasi-irreducible and (co)expanding random maps
Pablo G. Barrientos, Isaia Nisoli, Dominique Malicet
We study quasi-irreducibility, expansion, and their cotangent duals for random (local) diffeomorphisms on compact invariant sets of a Riemannian manifold. Quasi-irreducibilit…
Integral representation of Lyapunov exponents
Pablo G. Barrientos, Isaia Nisoli
We introduce a new operator-theoretic construction of Lyapunov growth for Markov-driven systems. The construction is based on an abstract variational principle for asymptotic growt…