46 citations · 336 across the 49 of their papers we have counts for
58 papers
Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
Elias Rego, Paulo Varandas
We study the Hausdorff dimension of attracting sets of three-dimensional flows whose one-dimensional quotient dynamics is non-uniformly expanding. Our main assumption is that the q…
Good inducing schemes for uniformly hyperbolic flows, and applications to exponential decay of correlations
Ian Melbourne, Paulo Varandas
Given an Axiom A attractor for a flow (), we construct a countable Markov extension with exponential return times in such a way that the inducing set is a smoothly e…
Phase transitions for surface diffeomorphisms
Thiago Bomfim, Paulo Varandas
In this paper we consider surface diffeomorphisms and study the existence of phase transitions, here expressed by the non-analiticity of the pressure function associated to s…
Topological and metric emergence of continuous maps
Maria Carvalho, Fagner B. Rodrigues, Paulo Varandas
We prove that the homeomorphisms of a compact manifold with dimension one have zero topological emergence, whereas in dimension greater than one the topological emergence of a C^0-…
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
José F. Alves, Wael Bahsoun, Marks Ruziboev +1
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 techn…
Thermodynamic formalism for expanding measures
Vilton Pinheiro, Paulo Varandas
In this paper we study the thermodynamic formalism of strongly transitive endomorphisms , focusing on the set all expanding measures. In case is a non-flat map defi…