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19932026
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7.1k citations

Showing 2016 · math.DSShow all

9 papers · 2 filters

math.DS2016

Quantitative recurrence for free semigroup actions

Maria Carvalho, Fagner B. Rodrigues, Paulo Varandas

We consider finitely generated free semigroup actions on a compact metric space and obtain quantitative information on Poincaré recurrence, average first return time and hitting fr…

math.DS2016★ 4 cited

On the conservative pasting lemma

Pedro Teixeira

Several perturbation tools are established in the volume preserving setting allowing for the pasting, extension, localized smoothing and local linearization of vector fields. The p…

math.DS2016★ 5 cited

Boundary crisis for degenerate singular cycles

Alexander Lohse, Alexandre Rodrigues

The term boundary crisis refers to the destruction or creation of a chaotic attractor when parameters vary. The locus of a boundary crisis may contain regions of positive Lebesgue…

math.DS2016★ 18 cited

Extreme Value Laws for dynamical systems with countable extremal sets

Davide Azevedo, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1

We consider stationary stochastic processes arising from dynamical systems by evaluating a given observable along the orbits of the system. We focus on the extremal behaviour of th…

math.DS2016★ 38 cited

On Takens' Last Problem: tangencies and time averages near heteroclinic networks

Isabel S. Labouriau, Alexandre A. P. Rodrigues

We obtain a structurally stable family of smooth ordinary differential equations exhibiting heteroclinic tangencies for a dense subset of parameters. We use this to find vector fie…

math.DS2016★ 191 cited

Extremes and Recurrence in Dynamical Systems

Valerio Lucarini, Davide Faranda, Ana Cristina Moreira Freitas +6

This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. The introduction provides a broad overview of the interdiscipli…

math.DS2016

Global Saddles for Planar Maps

Begoña Alarcón, Sofia B. S. D. Castro, Isabel S. Labouriau

We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a glob…

math.DS2016★ 1 cited

On statistical properties for equilibrium states of partially hyperbolic horseshoes

Vanessa Ramos, Jaqueline Siqueira

We derive some statistical properties for equilibrium states of partially hyperbolic horseshoes. We define a projection map associated to the horseshoe and prove a spectral gap for…

math.DS2016★ 38 cited

Semigroup actions of expanding maps

Maria Carvalho, Fagner B. Rodrigues, Paulo Varandas

We consider semigroups of Ruelle-expanding maps, parameterized by random walks on the free semigroup, with the aim of examining their complexity and exploring the relation between…