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20112021
most citedDecay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors

6 citations · 9 across the 4 of their papers we have counts for

collaborators

6 papers

math.DS2021

An entropy dichotomy for singular star flows

Maria José Pacifico, Fan Yang, Jiagang Yang

We show that non-trivial chain recurrent classes for generic star flows satisfy a dichotomy: either they have zero topological entropy, or they must be isolated. Moreover, ch…

math.DS2017

Expansiveness, Lyapunov exponents and entropy for set valued maps

Maria José Pacifico, José Vieitez

In this paper we introduce a notion of expansiveness for a set valued map defined on a topological space different from that given by Richard Williams at \cite{Wi, Wi2} and prove t…

math.DS2017★ 6 cited

Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors

Stefano Galatolo, Isaia Nisoli, Maria José Pacifico

In this paper we prove that a class of skew products maps with non uniformly hyperbolic base has exponential decay of correlations. We apply this to obtain a logarithm law for the…

math.DS2016

Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors

Carlos Gustavo Moreira, Maria José Pacifico, Sergio Romaña

In this paper, we show that geometric Lorenz attractors have Hausdorff dimension strictly greater than . We use this result to show that for a "large" set of real functions the…

math.DS2013★ 3 cited

N-expansive homeomorphisms on surfaces

Alfonso Artigue, Maria José Pacifico, José Vieitez

We exploit the techniques developed in [Le] to study N-expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless s…

math.DS2011

Evolution of the population of Microtus Epiroticus: the Yoccoz-Birkeland model

Juan José Nieto, Maria José Pacifico, José Ladislau Vieitez

We study the discretized version of a dynamical system given by a model proposed by Yoccoz and Birkeland to describe the evolution of the population of Microtus Epiroticus on Svalb…