Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Alves, Jose F."'
Autor:
Alves, José F., Etubi, Odaudu R.
Using an abstract perturbation result established by Keller and Liverani, we obtain the H\"older continuity of the invariant density and entropy of the physical measures for some families of piecewise expanding maps. We apply these results to a famil
Externí odkaz:
http://arxiv.org/abs/2409.18805
Autor:
Alves, José F., Bahsoun, Wael
We study semiflows generated via impulsive perturbations of Lorenz flows. We prove that such semiflows admit a finite number of physical measures. Moreover, if the impulsive perturbation is small enough, we show that the physical measures of the semi
Externí odkaz:
http://arxiv.org/abs/2403.10909
Autor:
Alves, José F., Matias, João S.
Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reciprocal results were obtained for non-invertible systems (without contr
Externí odkaz:
http://arxiv.org/abs/2401.06024
We prove strong statistical stability of a large class of one-dimensional maps which may have an arbitrary finite number of discontinuities and of non-degenerate critical points and/or singular points with infinite derivative, and satisfy some expans
Externí odkaz:
http://arxiv.org/abs/2302.09890
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our technique is based on constructing suitable cones of functions, defined on
Externí odkaz:
http://arxiv.org/abs/2205.13424
Autor:
Alves, Jose F., Mesquita, David
We obtain entropy formulas for SRB measures with finite entropy given by inducing schemes. In the first part of the work, we obtain Pesin entropy formula for the class of noninvertible systems whose SRB measures are given by Gibbs-Markov induced maps
Externí odkaz:
http://arxiv.org/abs/2104.12629
In a context of non-uniformly expanding maps, possibly with the presence of a critical set, we prove the existence of finitely many ergodic equilibrium states for hyperbolic potentials. Moreover, the equilibrium states are expanding measures. This ge
Externí odkaz:
http://arxiv.org/abs/2003.11620
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We consider random perturbations of a topologically transitive local diffeomorphism of a Riemannian manifold. We show that if an absolutely continuous ergodic stationary measures is expanding (all Lyapunov exponents positive), then there is a random
Externí odkaz:
http://arxiv.org/abs/1904.13343
We introduce random towers to study almost sure rates of correlation decay for random partially hyperbolic attractors. Using this framework, we obtain abstract results on almost sure exponential, stretched exponential and polynomial correlation decay
Externí odkaz:
http://arxiv.org/abs/1904.12844