2 citations · 2 across the 5 of their papers we have counts for
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Cohomology of Lipschitz-valued cocycles
Marisa Cantarino, Catalina Freijo
We consider the set of Hölder continuous cocycles over a finite shift acting on a group of Lipschitz homeomorphisms Lip(G), where G is a metrisable compact topological group. We es…
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank
Catalina Freijo, Pedro Duarte
In this paper we establish uniform large deviations estimates of exponential type and Hölder continuity of the Lyapunov exponents for random non-invertible cocycles with constant r…
A dynamical Thouless formula
Jamerson Bezerra, Ao Cai, Pedro Duarte +2
In this paper we establish an abstract, dynamical Thouless-type formula for affine families of cocycles. This result extends the classical formula rela…
Density of non-zero exponent of contraction for pinching cocycles on Hom(S^1)
Catalina Freijo, Karina Marin
We consider pinching cocycles taking values in the space of homeomorphisms of the circle over an hyperbolic base. Using the Invariance Principle of Malicet, we prove that the cocyc…
Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles
Catalina Freijo, Karina Marin
We provide conditions which imply the continuity of the Lyapunov exponents for non-uniformly fiber-bunched cocycles in . The main theorem is an extension of the r…