14 citations · 15 across the 3 of their papers we have counts for
11 papers · 1 filter
Robust heterodimensional cycles of co-index two via split blending machines
Pablo G. Barrientos, Lorenzo J. Díaz, Yuri Ki +2
We consider diffeomorphisms with heterodimensional cycles of co-index two, associated with saddles and having unstable indices and , respectively. In a p…
Finitude of physical measures for Markovian random maps
Pablo G. Barrientos, Dominique Malicet, Fumihiko Nakamura +2
We study the finiteness of physical measures for skew-product transformations associated with discrete-time random dynamical systems driven by ergodic Markov chains. We develop…
Historical behavior of skew products and arcsine laws
Pablo G. Barrientos, Raul R. Chavez
We study the occurrence of historical behavior for almost every point in the setting of skew products with one-dimensional fiber dynamics. Under suitable ergodic conditions, we est…
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…
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 and homoclinic tangencies of arbitrary codimension . These sets are known to…
Robust Heteroclinic Tangencies
Pablo G. Barrientos, Sebastián A. Pérez
We construct diffeomorphisms in dimension exhibiting -robust heteroclinic tangencies.