46 citations · 167 across the 17 of their papers we have counts for
18 papers
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-…
A variational principle for the metric mean dimension of level sets
Lucas Backes, Fagner B. Rodrigues
We prove a variational principle for the upper and lower metric mean dimension of level sets \[ \left\{x\in X: \lim_{n\to\infty}\frac{1}{n}\sum_{j=0}^{n-1}φ(f^{j}(x))=α\right\} \]…
Entropy points and applications for free semigroup actions
Fagner B. Rodrigues, Thomas Jacobus, Marcus V. Silva
The aim of this manuscript is to study some local properties of the topological entropy of a free semigroup action. In order to do that we focus on the set of entropy points of a f…
Some variational principles for the metric mean dimension of a semigroup action
Thomas Jacobus, Fagner B. Rodrigues, Marcus V. Silva
In this manuscript we show that the metric mean dimension of a free semigroup action satisfies three variational principles: (a) the first one is based on a definition of Shapira's…
Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems
Lucas Backes, Fagner B. Rodrigues
We introduce four, a priori different, notions of topological pressure for possibly discontinuous semiflows acting on compact metric spaces and observe that they all agree with the…
Generic homeomorphisms have full metric mean dimension
Maria Carvalho, Fagner B. Rodrigues, Paulo Varandas
We prove that the upper metric mean dimension of -generic homeomorphisms, acting on a compact smooth boundaryless manifold with dimension greater than one, coincides with the…
Mean dimension and metric mean dimension for non-autonomous dynamical systems
Fagner Bernardini Rodrigues, Jeovanny de Jesus Muentes Acevedo
In this paper we extend the definitions of mean dimension and metric mean di-mension for non-autonomous dynamical systems. We show some properties of this extension and furthermore…
Rare events for Cantor target sets
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Fagner B. Rodrigues +1
We study the existence of limiting laws of rare events corresponding to the entrance of the orbits on certain target sets in the phase space. The limiting laws are obtained when th…
Stability and limit theorems for sequences of uniformly hyperbolic dynamics
A. Castro, F. B. Rodrigues, P. Varandas
In this paper we obtain an almost sure invariance principle for convergent sequences of either Anosov diffeomorphisms or expanding maps on compact Riemannian manifolds and prove an…
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…
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…
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…
Topological entropy for partial actions of the group
A. Baraviera, Daniel Gonçalves, Danilo Royer +2
In this paper we introduce the definition of entropy for a partial -action. We show that the definition of partial entropy is an extension of the definition of topologi…
Clustering of extreme events created by multiple correlated maxima
Davide Azevedo, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1
We consider stochastic processes arising from dynamical systems by evaluating an observable function along the orbits of the system. The novelty is that we will consider observable…
Specification properties and thermodynamical properties of semigroup actions
Fagner B. Rodrigues, Paulo Varandas
In the present paper we study the thermodynamical properties of finitely generated continuous subgroup actions. We address a notion of topological entropy and pressure functions th…
On the dynamics of a rational semigroup on a convolution measure algebra
A. T. Baraviera, E. R. Oliveira, F. B. Rodrigues
We are going to study the dynamical properties of the rational semigroup where for , that is defined for $μ\in \mathcal{…
A note on the dynamics of linear automorphisms of a measure convolution algebra
Alexandre Baraviera, Elismar R. Oliveira, Fagner B. Rodrigues
In this work we are going to study the dynamics of the linear automorphisms of a measure convolution algebra over a finite group, . In order to understand an classify th…
On the dynamics and entropy of the push-forward map
A. Baraviera, E. Oliveira, F. B. Rodrigues
In this work we study the main dynamical properties of the push-forward map, a transformation in the space of probabilities P(X) induced by a map T: X \to X, X a compact metric spa…