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- Universidade Federal do Rio de JaneiroBR289 papers
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12 papers · 2 filters
Continuity of Lyapunov exponents in the C0 topology
Marcelo Viana, Jiagang Yang
We prove that the Bochi-Mañé theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbo…
Beau bounds for multicritical circle maps
Gabriela Estevez, Edson de Faria, Pablo Guarino
Let be a homeomorphism without periodic points having a finite number of critical points of power-law type. In this paper we establish real a-priori bounds, o…
Decay of correlations for maximal measure of maps derived from Anosov
Fan Yang, Jiagang Yang
It was proven by Ures that diffeomorphism on three dimensional torus that is derived from Anosov admits a unique maximal measure. Here we show that the maximal measure has ex…
Stability of the rotation set of area-preserving toral homeomorphisms
Pierre-Antoine Guihéneuf, Andres Koropecki
We show that if the rotation set of a homeomorphism of the torus is stable under small perturbations of the dynamics, then it is a convex polygon with rational vertices. We also sh…
Invariance principle and rigidity of high entropy measures
Ali Tahzibi, Jiagang Yang
A deep analysis of the Lyapunov exponents, for stationary sequence of matrices going back to Furstenberg, for more general linear cocycles by Ledrappier and generalized to the cont…
Finite dimensional groups of local diffeomorphisms
Javier Ribón
We are interested in classifying groups of local biholomorphisms (or even formal diffeomorphisms) that can be endowed with a canonical structure of algebraic group up to add extra…