Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type

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 analogue of complete hyperbolic surfaces of finite area.

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Publication Details

Journal
Groups Geometry and Dynamics
Published
2026-05-11
DOI
https://doi.org/10.4171/ggd/967
Primary Topic
Mathematics and Applications
Type
preprint
Field-Weighted Citation Impact
0.00
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preprint

Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type

Fernando Alcalde Cuesta, Alberto Verjovsky, Álvaro Carballido Costas, Matilde Martínez
Groups Geometry and Dynamics
Mathematics and Applications
preprint

Horocyclic trajectories in hyperbolic solenoidal surfaces of finite type

Fernando Alcalde Cuesta, Alberto Verjovsky, Álvaro Carballido Costas, Matilde Martínez
preprint en

Abstract

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 analogue of complete hyperbolic surfaces of finite area.

Groups Geometry and Dynamics
Universidad de la República de Uruguay (UY), Universidade de Santiago de Compostela (ES), Centro de Supercomputación de Galicia (ES), Universidad Nacional Autónoma de México (MX)
Openalex Percentile: Top 96%
Mathematics and Applications
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