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11 papers · 2 filters

math.DS2014★ 4 cited

A version of Kac's lemma on first return times for suspension flows

Paulo Varandas

In this article we study the mean return times to a given set for suspension flows. In the discrete time setting, this corresponds to the classical version of Kac's lemma \cite{K}…

math.DS2014★ 17 cited

Multifractal analysis of the irregular set for almost-additive sequences via large deviations

Thiago Bomfim, Paulo Varandas

In this paper we introduce a notion of free energy and large deviations rate function for asymptotically additive sequences of potentials via an approximation method by families of…

math.DS2014

Statistical stability for multidimensional piecewise expanding maps

Jose F. Alves, Antonio Pumarino, Enrique Vigil

We present sufficient conditions for the (strong) statistical stability of some classes of multidimensional piecewise expanding maps. As a consequence we get that a certain natural…

math.DS2014★ 11 cited

Invariant probability measures and non-wandering sets for impulsive semiflows

Jose F. Alves, Maria Carvalho

We consider impulsive dynamical systems defined on compact metric spaces and their respective impulsive semiflows. We establish sufficient conditions for the existence of probabili…

math.DS2014

A dichotomy in area-preserving reversible maps

Mario Bessa, Alexandre Rodrigues

In this paper we study R-reversible area-preserving maps f on a two-dimensional Riemannian closed manifold M, i.e. diffeomorphisms f such that Ro f=f^{-1}o R where R is an isometri…

math.DS2014★ 4 cited

SRB measures for partially hyperbolic systems whose central direction is weakly expanding

Jose F. Alves, C. L. Dias, S. Luzzatto +1

We consider partially hyperbolic \( C^{1+} \) diffeomorphisms of compact Riemannian manifolds of arbitrary dimension which admit a partially hyperbolic tangent bundle decomposition…

math.DS2014

Discrete dynamical systems from mutation-periodic quivers: examples and reduction

Inês Cruz, M. Esmeralda Sousa-Dias

Several new mutation-periodic quivers of period higher than 1 are introduced as well as the associated discrete dynamical systems. The reduction of these systems is developed using…

math.DS2014★ 19 cited

Dense heteroclinic tangencies near a Bykov cycle

Isabel S. Labouriau, Alexandre A. P. Rodrigues

This article presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a Bykov cycle where trajectories turn in opposite dire…

math.DS2014★ 4 cited

Generic area-preserving reversible diffeomorphisms

Mário Bessa, Maria Carvalho, Alexandre Rodrigues

Let M be a surface and R an involution in M whose set of fixed points is a submanifold with dimension 1 and such that R is an isometry. We will show that there is a residual subset…

math.DS2014★ 44 cited

Speed of convergence for laws of rare events and escape rates

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd

We obtain error terms on the rate of convergence to Extreme Value Laws for a general class of weakly dependent stochastic processes. The dependence of the error terms on the `time'…

math.DS2014★ 21 cited

Stability in simple heteroclinic networks in

Sofia B. S. D. Castro, Alexander Lohse

We describe all heteroclinic networks in made of simple heteroclinic cycles of types or , with at least one common connecting trajectory. For networks made of…