7.1k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institute of Astrophysics and Space SciencesPT1.2k papers
- Centre National de la Recherche ScientifiqueFR1.1k papers
- Centro de Astrofísica da Universidade do PortoPT1k papers
- University of GenevaCH636 papers
- Instituto de Astrofísica de CanariasES591 papers
- Universidad de La LagunaES520 papers
- European Southern ObservatoryCL446 papers
- Aix-Marseille UniversitéFR434 papers
- University of LisbonPT430 papers
- Institut d'Astrophysique de ParisFR425 papers
- Leiden UniversityNL398 papers
- University of CambridgeGB398 papers
9 papers · 2 filters
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…
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…
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…
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…
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…
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…
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…
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…
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…