Pablo G. Barrientos

activity

20172021

most citedRobust tangencies of large codimension

14 citations · 15 across the 2 of their papers we have counts for

collaborators

8 papers

math.DS2021★ 1 cited

Berger domains and Kolmogorov typicality of infinitely many invariant circles

Pablo G. Barrientos, Artem Raibekas

Using the novel notion of parablender, P. Berger proved that the existence of finitely many attractors is not Kolmogorov typical in parametric families of diffeomorphisms. Here, mo…

math.DS2019

Robust degenerate unfoldings of cycles and tangencies

Pablo G. Barrientos, Artem Raibekas

We construct open sets of degenerate unfoldings of heterodimensional cycles of any co-index $c > 0$ and homoclinic tangencies of arbitrary codimension $c > 0$ . These sets are known to…

math.DS2019

Robust Heteroclinic Tangencies

Pablo G. Barrientos, Sebastián A. Pérez

We construct diffeomorphisms in dimension $d \geq 2$ exhibiting $C^{1}$ -robust heteroclinic tangencies.

math.DS2018

Ergodicity of non-autonomous discrete systems with non-uniform expansion

Pablo G. Barrientos, Abbas Fakhari

We study the ergodicity of non-autonomous discrete dynamical systems with non-uniform expansion. As an application we get that any uniformly expanding finitely generated semigroup…

math.DS2018

Chaos near a reversible homoclinic bifocus

Pablo G. Barrientos, Artem Raibekas, Alexandre A. P. Rodrigues

We show that any neighborhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on $N$ -symbols for all $N \geq 2$ . This will be achie…

math.DS2018

Extremal exponents of random products of conservative diffeomorphisms

Pablo G. Barrientos, Dominique Malicet

We show that for a $C^{1}$ -open and $C^{r}$ -dense subset of the set of ergodic iterated function systems of conservative diffeomorphisms of a finite-volume manifold of dimension $d\g…