1 citations · 1 across the 4 of their papers we have counts for
6 papers
Invariant sets for homeomorphisms of hyperbolic 3-manifolds
Elena Gomes, Santiago Martinchich, Rafael Potrie
We prove that under some assumptions on how points escape to infinity in the universal cover, homeomorphisms of hyperbolic 3-manifolds are forced to have several invariant sets (in…
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…
Partially hyperbolic diffeomorphisms that are center fixing
Santiago Martinchich
We show that every transitive dynamically coherent partially hyperbolic diffeomorphism with a one-dimensional center foliation $\W^c$ satisfying that for every leaf $W\in…
Global stability of discretized Anosov flows
Santiago Martinchich
The goal of this article is to establish several general properties of a somewhat large class of partially hyperbolic diffeomorphisms called \emph{discretized Anosov flows}. A gene…
Uniqueness of minimal unstable lamination for discretized Anosov flows
Nancy Guelman, Santiago Martinchich
We consider the class of partially hyperbolic diffeomorphisms obtained as the discretization of topological Anosov flows. We show uniqueness of minimal unstable laminati…
Codimension one compact center foliations are uniformly compact
Verónica De Martino, Santiago Martinchich
Let be a dynamically coherent partially hyperbolic diffeomorphism whose center foliation has all its leaves compact. We prove that if the unstable bundle of is one-d…