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Equilibrium states for maps isotopic to Anosov
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on T4, with two-dimensional center foliation. To do so ...
Analiticity of the Lyapunov exponents of random products of quasi-periodic cocycles
We show that the top Lyapunov exponent LE(p) associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities p whenever LE(p) is simple. Moreover if the spectrum at ...
Contributions to the continuity problem for Lyapunov exponents
O objetivo deste trabalho é estudar a continuidade e a semi-continuidade dos expoentes de Lyapunov em dois contextos diferentes. O primeiro diz respeito a cociclos lineares sobre dinâmicas parcialmente hiperbólicas. É ...
The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
We prove that the set of fiber-bunched SL(2, R)-valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partially hyperbolic diffeomorphism is open. Moreover, we ...
Lyapunov exponents of probability distributions with non-compact support
A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact ...