Horocycle flows without minimal sets
Dynamical Systems
2014-12-05 v2
Authors:
Shigenori Matsumoto
Abstract
We show that the horocycle flows of open tight hyperbolic surfaces do not admit minimal sets.
Cite
@article{arxiv.1412.0410,
title = {Horocycle flows without minimal sets},
author = {Shigenori Matsumoto},
journal= {arXiv preprint arXiv:1412.0410},
year = {2014}
}
Comments
9 pages, 8 figures
Related papers
View all related →
Dynamical Systems · Mathematics
Remarks on the horocycle flows for foliations by hyperbolic surfaces
Shigenori Matsumoto
2015-08-10
Geometric Topology · Mathematics
R\'ecurrence ou non minimalit\'e des adh\'erences des d'orbites irr\'eguli\'eres du flot horocyclique de finesse infinie
Amadou Sy, Masseye Gaye
2026-04-09
Dynamical Systems · Mathematics
Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology
Fernando Alcalde, Françoise Dal'Bo, Matilde Martínez, Alberto Verjovsky
2016-08-22
Dynamical Systems · Mathematics
On the closure of irregular orbits of the horocyclic flow on infinite finness
Amadou Sy, Masseye Gaye
2025-04-30
Dynamical Systems · Mathematics
Topology of horocycles on geometrically finite nonpositively curved surfaces
Sergi Burniol Clotet
2024-07-10
Dynamical Systems · Mathematics
On the non-expansiveness of the geodesic flow on surfaces with cusps
Sergi Burniol Clotet, Françoise Dal'Bo
2026-04-08
Dynamical Systems · Mathematics
Effective equidistribution of the horocycle flow on geometrically finite hyperbolic surfaces
Samuel C. Edwards
2019-03-12
Number Theory · Mathematics
The horocycle flow at prime times
P. Sarnak, A. Ubis
2014-06-03
Dynamical Systems · Mathematics
Density and Equidistribution of One-Sided Horocycles of a Geometrically Finite Hyperbolic Surface
Barbara Schapira
2014-02-26
Dynamical Systems · Mathematics
Horocycle flow orbits and lattice surface characterizations
Jon Chaika, Kathryn Lindsey
2019-05-01
Dynamical Systems · Mathematics
Weaving Geodesics and New Phenomena in Horocyclic Dynamics
Françoise Dal'bo, James Farre, Or Landesberg, Yair Minsky
2026-02-26
Dynamical Systems · Mathematics
Equidistribution des horocycles d'une surface g\'eom\'etriquement finie
Barbara Schapira
2007-05-23
Dynamical Systems · Mathematics
Remarks on the dynamics of the horocycle flow for homogeneous foliations by hyperbolic surfaces
Fernando Alcalde Cuesta, Françoise Dal'Bo
2015-07-28
Dynamical Systems · Mathematics
On shadowing and hyperbolicity for geodesic flows on surfaces
Mario Bessa, Maria Joana Torres, Joao Lopes Dias
2017-06-29
Dynamical Systems · Mathematics
Nonlocally maximal and premaximal hyperbolic sets
T. Fisher, T. Petty, S. Tikhomirov
2015-10-21
Geometric Topology · Mathematics
Hyperbolic rational homology spheres not admitting fillable contact structures
Amey Kaloti, Bulent Tosun
2015-09-14
Dynamical Systems · Mathematics
Limit Theorems for Horocycle Flows
Alexander Bufetov, Giovanni Forni
2011-04-26
Dynamical Systems · Mathematics
No-shadowing for singular hyperbolic sets with a singularity
Xiao Wen, Lan Wen
2020-03-12
Differential Geometry · Mathematics
Non-collapsing for hypersurface flows in the sphere and hyperbolic space
Ben Andrews, Xiaoli Han, Haizhong Li, Yong Wei
2012-06-28
Dynamical Systems · Mathematics
Joining measures for horocycle flows on abelian covers
Wenyu Pan
2017-12-08
Geometric Topology · Mathematics
Non-Existence of Geometric Minimal Foliations in Hyperbolic Three-Manifolds
Michael Wolf, Yunhui Wu
2022-08-02
Dynamical Systems · Mathematics
On the intersection of sectional-hyperbolic sets
S. Bautista, C. A. Morales
2014-10-03
Dynamical Systems · Mathematics
Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem
Matilde Martínez, Shigenori Matsumoto, Alberto Verjovsky
2016-02-01
Number Theory · Mathematics
Individual Closed Horocyclic Orbits on the Modular Surface
Marvin Knopp, Mark Sheingorn
2011-09-06
Dynamical Systems · Mathematics
On the Space of Ergodic Measures for the Horocycle Flow on Strata of Abelian Differentials
Jon Chaika, Osama Khalil, John Smillie
2023-11-15