Universidad de la República de Uruguay

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19922026

most citedThe nonperturbative functional renormalization group and its applications

604 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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99 papers · 1 filter

math.DS2025

A survey on the growth rate inequality for sphere endomorphisms

Juliana Xavier

We survey recent results and current challenges concerning the growth rate inequality for sphere endomorphisms, and present a number of open problems and conjectures arising in thi…

math.DS2025

Relativistic one-dimensional billiards

Alfonso Artigue

In this article we study the dynamics of one-dimensional relativistic billiards containing particles with positive and negative energy. We study configurations with two identical p…

math.DS2024

Stable/unstable continua of cw-expansive flows

Alfonso Artigue, Bernardo Carvalho, Margoth Tacuri

We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations betwe…

math.DS2023★ 1 cited

Exact dimension of dynamical stationary measures

François Ledrappier, Pablo Lessa

We consider a random walk on $S L_{d} (R)$ with finite first moment and finite entropy. We show that the distributions of the unstable flag space and of the stable flag space…

math.DS2023

Some hyperbolicity revisited and robust transitivity

Luis Pedro Piñeyrúa

In this article we revisit the notion of \textit{Some Hyperbolicity} introduced by Pujals and Sambarino in \cite{PuSa}. We present a more general definition, that in particular can…

math.DS2022★ 1 cited

Rigidity of $U$ -Gibbs measures near conservative Anosov diffeomorphisms on $T^{3}$

Sébastien Alvarez, Martin Leguil, Davi Obata +1

We show that within a $C^{1}$ -neighbourhood $U$ of the set of volume preserving Anosov diffeomorphisms on the three-torus $T^{3}$ which are strongly partially hyperb…

math.DS2022★ 1 cited

Accessibility for dynamically coherent partially hyperbolic diffeomorphisms with 2D center

Martin Leguil, Luis Pedro Piñeyrúa

We show that for any integer $r \geq 2$ , stable accessibility is $C^{r}$ -dense among partially hyperbolic diffeomorphisms with two-dimensional center that satisfy some strong bunchin…

math.DS2021

On the Lyapunov instability in Lagrangian dynamics

J. M. Burgos, M. Paternain

In the context of mechanical Lagrangian dynamics, we prove a new Lyapunov instability criterion for a non strict local minimum equilibrium point of a smooth potential where the suf…

math.DS2020★ 10 cited

Continuum-wise hyperbolicity

Alfonso Artigue, Bernardo Carvalho, Welington Cordeiro +1

We introduce continuum-wise hyperbolicity, a generalization of hyperbolicity with respect to the continuum theory. We discuss similarities and differences between topological hyper…

math.DS2020

A persistently singular map of $T^{n}$ that is $C^{1}$ robustly transitive

Juan C. Morelli Ramírez

Consider the set $E$ of endomorphisms of the n-torus endowed with the $C^{1}$ topology. A point in $E$ that is persistently singular and robustly transitive is exhibited.

math.DS2020★ 3 cited

Geodesic rays of the $N$ -body problem

Juan Manuel Burgos, Ezequiel Maderna

For the Newtonian N-body problem, we study the Jacobi-Maupertuis metric of the nonnegative energy levels. We show that the geodesic rays are expansive, that is to say, all the dist…

math.DS2019★ 2 cited

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$ -body problem

Ezequiel Maderna, Andrea Venturelli

We prove for the $N$ -body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level $h > 0$ of th…

math.DS2019

C0-Stability for actions implies shadowing property

Jorge Iglesias, Aldo Portela

We will construct an action $Φ$ , C0 and C1-stable and we will prove that every C0-stable action acting in a manifold of dimensions greater or equal to two, have the shadowing prope…

math.DS2019★ 7 cited

Countably and entropy expansive homeomorphisms with the shadowing property

Alfonso Artigue, Bernardo Carvalho, Welington Cordeiro +1

We discuss the dynamics beyond topological hyperbolicity considering homeomorphisms satisfying the shadowing property and generalizations of expansivity. It is proved that transiti…

math.DS2019

A spectral decomposition of the attractor of piecewise contracting maps of the interval

A. Calderón, E. Catsigeras, P. Guiraud

We study the asymptotic dynamics of piecewise contracting maps defined on a compact interval. For maps that are not necessarily injective, but have a finite number of local extrema…

math.DS2019★ 29 cited

Beyond topological hyperbolicity: the L-shadowing property

A. Artigue, B. Carvalho, W. Cordeiro +1

In this paper we further explore the L-shadowing property defined in [17] for dynamical systems on compact spaces. We prove that structurally stable diffeomorphisms and some pseudo…

math.DS2019★ 2 cited

Ergodic measures with infinite entropy

Eleonora Catsigeras, Serge Troubetzkoy

We construct ergodic probability measures with infinite metric entropy for typical continuous maps and homeomorphisms on compact manifolds. We also construct sequences of such meas…

math.DS2019★ 4 cited

N-expansive Flows

Alfonso Artigue, Welington Cordeiro, Maria José Pacífico

We define the concept of $N$ -expansivity for flows and extend some of the results already established for discrete dynamics and for $C W$ -expansive flows. We show examples of $N$ -ex…

math.DS2018★ 4 cited

Invariant measures for typical continuous maps on manifolds

Eleonora Catsigeras, Serge Troubetzkoy

We study the invariant measures of typical $C^{0}$ maps on compact connected manifolds with or without boundary, and also of typical homeomorphisms. We prove that the weak $^{*}$ closur…

math.DS2018

Ergodic Theorems for the Transfer Operators of Noisy Dynamical Systems

Eleonora Catsigeras

We consider stationary stochastic dynamical systems evolving on a compact metric space, by perturbing a deterministic dynamics with a random noise, added according to an arbitrary…

math.DS2017

A simple proof of a theorem of sensitivity

J. Iglesias, A. Portela

We prove that every transitive and non minimal semigroup with dense minimal points is sensitive. When the system is almost open, we obtain a generalization of this result.

math.DS2017

Existence of common zeros for commuting vector fields on $3$ -manifolds II. Solving global difficulties

Sébastien Alvarez, Christian Bonatti, Bruno Santiago

We address the following conjecture about the existence of common zeros for commuting vector fields in dimension three: if $X, Y$ are two $C^{1}$ commuting vector fields on a $3$ -mani…

math.DS2017★ 1 cited

On the growth rate inequality for periodic points in the two sphere

G. Honorato, J. Iglesias, A. Portela +3

Let $f : S^{2} \to S^{2}$ be a continuous map such that $d e g f = d, ∣ d ∣ > 1$ . Suppose $f$ has two attracting fixed points denoted $N$ and $S$ and let $A = S^{2} ∖ {N, S}$ . Assume that i…

math.DS2017

Empiric stochastic stability of physical and pseudo-physical measures

Eleonora Catsigeras

We define the empiric stochastic stability of an invariant measure in the finite-time scenario, the classical definition of stochastic stability. We prove that an invariant measure…

A survey on the growth rate inequality for sphere endomorphisms

Relativistic one-dimensional billiards

Stable/unstable continua of cw-expansive flows

Exact dimension of dynamical stationary measures

Some hyperbolicity revisited and robust transitivity

Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3

Accessibility for dynamically coherent partially hyperbolic diffeomorphisms with 2D center

On the Lyapunov instability in Lagrangian dynamics

Continuum-wise hyperbolicity

A persistently singular map of Tn that is C1 robustly transitive

Geodesic rays of the N-body problem

Viscosity solutions and hyperbolic motions: a new PDE method for the N-body problem

C0-Stability for actions implies shadowing property

Countably and entropy expansive homeomorphisms with the shadowing property

A spectral decomposition of the attractor of piecewise contracting maps of the interval

Beyond topological hyperbolicity: the L-shadowing property

Ergodic measures with infinite entropy

N-expansive Flows

Invariant measures for typical continuous maps on manifolds

Ergodic Theorems for the Transfer Operators of Noisy Dynamical Systems

A simple proof of a theorem of sensitivity

Existence of common zeros for commuting vector fields on 3-manifolds II. Solving global difficulties

On the growth rate inequality for periodic points in the two sphere

Empiric stochastic stability of physical and pseudo-physical measures

Rigidity of $U$ -Gibbs measures near conservative Anosov diffeomorphisms on $T^{3}$

A persistently singular map of $T^{n}$ that is $C^{1}$ robustly transitive

Geodesic rays of the $N$ -body problem

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$ -body problem

Existence of common zeros for commuting vector fields on $3$ -manifolds II. Solving global difficulties