26 citations · 151 across the 27 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.DS2025
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…
math.DS2025
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…
math.DS2025
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…