20 citations · 46 across the 13 of their papers we have counts for
15 papers
Low emergence in one-dimensional dynamics
Odylo Costa, Bruno Santiago
We show that every immersion of the circle into itself has low emergence.
Rigidity of -Gibbs measures near conservative Anosov diffeomorphisms on
Sébastien Alvarez, Martin Leguil, Davi Obata +1
We show that within a -neighbourhood of the set of volume preserving Anosov diffeomorphisms on the three-torus which are strongly partially hyperb…
The disintegration of measures with periodic repetitive pattern
Bruno Santiago, Régis Varão
In the context of locally constant skew-products over the shift with circle fiber maps we introduce the notion of measures with periodic repetitive pattern, inspired by \cite{GorIl…
Dirac physical measures on saddle-type fixed points
Pablo Guarino, Pierre-Antoine Guihéneuf, Bruno Santiago
In this article we study some statistical aspects of surface diffeomorphisms. We first show that for a generic diffeomorphism, a Dirac invariant measure whose \emph{statistic…
On the centralizer of vector fields: criteria of triviality and genericity results
Martin Leguil, Davi Obata, Bruno Santiago
In this paper, we investigate the question of whether a typical vector field on a compact connected Riemannian manifold has a `small' centralizer. In the case, we give…
Entropy, Lyapunov exponents, and rigidity of group actions
Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4
This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresó…
Weak* and entropy approximation of nonhyperbolic measures: a geometrical approach
Lorenzo J. Díaz, Katrin Gelfert, Bruno Santiago
We study -robustly transitive and nonhyperbolic diffeomorphisms having a partially hyperbolic splitting with one-dimensional central bundle whose strong un-/stable foliations…
Existence of common zeros for commuting vector fields on -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 are two commuting vector fields on a -mani…
Dirac physical measures for generic diffeomorphisms
Bruno Santiago
We prove that, for a generic diffeomorphism, the only Dirac physical measures with dense statistical basin are those supported on sinks.
Existence of common zeros for commuting vector fields on -manifolds
Christian Bonatti, Bruno Santiago
In E. Lima proved that commuting vector fields on surfaces with non-zero Euler characteristic have common zeros. Such statement is empty in dimension , since all the Euler…
Mixing-like properties for some generic and robust dynamics
Alexander Arbieto, Thiago Catalan, Bruno Santiago
We show that the set of Bernoulli measures of an isolated topologically mixing homoclinic class of a generic diffeomorphism is a dense subset of the set of invariant measures suppo…
Existence of attractors, homoclinic tangencies and singular hyperbolicity for flows
A. Arbieto, A. Rojas, B. Santiago
We prove that every generic three-dimensional flow has either infinitely many sinks, or, infinitely many hyperbolic or singular-hyperbolic attractors whose basins form a full…
On Araujo's Theorem for flows
Alexander Arbieto, Carlos Morales, Bruno Santiago
Araujo proved in his thesis \cite{A} that a generic surface diffeomorphism has either infinitely many sinks (i.e. attracting periodic orbits) or finitely many hyperbolic attr…
On weakly hyperbolic iterated functions systems
Alexander Arbieto, André Junqueira, Bruno Santiago
We study weakly hyperbolic iterated function systems on compact spaces, as defined by Edalat, but in the more general setting of a compact parameter space. We prove the existence o…
Lyapunov stability and sectional-hyperbolicity for higher-dimensional flows
A. Arbieto, C. A. Morales, B. Santiago
We study -generic vector fields on closed manifolds without points accumulated by periodic orbits of different indices and prove that they exhibit finitely many sinks and sect…