10 citations · 22 across the 4 of their papers we have counts for
7 papers
Free minimal actions of solvable Lie groups which are not affable
Fernando Alcalde Cuesta, Álvaro Lozano Rojo, Matilde Martínez
We construct an uncountable family of transversely Cantor laminations of compact spaces defined by free minimal actions of solvable groups, which are not affable and whose orbits a…
Topology of leaves for minimal laminations by hyperbolic surfaces
Sébastien Alvarez, Joaquín Brum, Matilde Martínez +1
We construct minimal laminations by hyperbolic surfaces whose generic leaf is a disk and contain any prescribed family of surfaces and with a precise control of the topologies of t…
Free orbits for minimal actions on the circle
Joaquín Brum, Matilde Martínez, Rafael Potrie
We prove that if is a countable group without a subgroup isomorphic to that acts faithfully and minimally by orientation preserving homeomorphisms on the circle,…
Foliated hyperbolicity and foliations with hyperbolic leaves
Christian Bonatti, Xavier Gómez-Mont, Matilde Martínez
Given a lamination in a compact space and a laminated vector field which is hyperbolic when restricted to the leaves of the lamination, we distinguish a class of -invariant…
Harmonic and invariant measures on foliated spaces
Chris Connell, Matilde Martínez
We consider the family of harmonic measures on a lamination of a compact space by locally symmetric spaces of noncompact type, i.e. $L\simeq Γ_L\backslash G/K…
Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology
Fernando Alcalde, Françoise Dal'Bo, Matilde Martínez +1
We consider a minimal compact lamination by hyperbolic surfaces. We prove that if it admits a leaf whose holonomy covering is not topologically trivial, then the horocycle flow on…
Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem
Matilde Martínez, Shigenori Matsumoto, Alberto Verjovsky
We study the dynamics of the geodesic and horocycle flows of the unit tangent bundle of a compact minimal lamination by negatively curve…