3 papers
math.DS2025
Homoclinic classes for flows: ergodicity and SRB measures
Ygor de Jesus, Marcielis Espitia, Gabriel Ponce
In this work we intend to study homoclinic classes for some classes of flows. To this end we obtain analogous results those obtained by Hertz-Hertz-Tahzibi-Ures in the flow setting…
math.DS2025
Classification of Conditional Measures Along Certain Invariant One-Dimensional Foliations
Marcielis Espitia, Gabriel Ponce, Régis Varão
Let be a homeomorphism over a compact Riemannian manifold, ergodic with respect to a measure defined on the completion of the Borel -algebra and a…
math.DS2024
Quasi-isometric center action in dimension 3
Marcielis Espitia, Santiago Martinchich, Rafael Potrie
We study transitive partially hyperbolic diffeomorphisms in dimension 3 preserving a center foliation on which they act quasi-isometrically. We show that the diffeomorphism is up t…