3 papers
math.DS2026
Mostow rigidity for skew solenoidal manifolds
Fernando Alcalde Cuesta, Matilde Martínez, Alberto Verjovsky
We prove a Mostow rigidity theorem for foliated bundles over closed hyperbolic manifolds of dimension endowed with a completely invariant measure of full support. These…
math.DS2024
Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type
Fernando Alcalde Cuesta, Álvaro Carballido Costas, Matilde Martínez +1
We study the dynamical properties of the laminated horocycle flow on the unit tangent bundles of 2-dimensional smooth solenoidal manifolds of finite type. These laminations are the…
math.DS2018
Unique ergodicity of the horocycle flow on Riemannnian foliations
Fernando Alcalde Cuesta, Françoise Dal'Bo, Matilde Martínez +1
A classic result due to Furstenberg is the strict ergodicity of the horocycle flow for a compact hyperbolic surface. Strict ergodicity is unique ergodicity with respect to a measur…