The Horocycle Flow and the Laplacian on Hyperbolic Surfaces of Infinite Genus

2010 ◽  
Vol 19 (6) ◽  
pp. 1757-1812 ◽  
Author(s):  
Omri Sarig
Keyword(s):  
Hyperbolic Surfaces ◽  
Horocycle Flow

Invariant measures for the horocycle flow on periodic hyperbolic surfaces

2007 ◽  
Vol 160 (1) ◽  
pp. 281-315 ◽  
Author(s):  
François Ledrappier ◽  
Omri Sarig
Keyword(s):  
Invariant Measures ◽  
Hyperbolic Surfaces ◽  
Horocycle Flow

scholarly journals Remarks on the dynamics of the horocycle flow for homogeneous foliations by hyperbolic surfaces

2015 ◽  
Vol 33 (4) ◽  
pp. 431-451 ◽  
Author(s):  
Fernando Alcalde Cuesta ◽  
Françoise Dal’Bo
Keyword(s):  
Hyperbolic Surfaces ◽  
Horocycle Flow

scholarly journals Effective Equidistribution of the Horocycle Flow on Geometrically Finite Hyperbolic Surfaces

2019 ◽  
Author(s):  
Samuel C Edwards
Keyword(s):  
Tangent Bundle ◽  
Infinite Volume ◽  
Hyperbolic Surfaces ◽  
Horocycle Flow ◽  
Geometrically Finite ◽  
Unit Tangent Bundle

Abstract We prove effective equidistribution of the horocycle flow in the unit tangent bundle of infinite-volume geometrically finite hyperbolic surfaces.

scholarly journals Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology

2016 ◽  
Vol 36 (9) ◽  
pp. 4619-4635 ◽  
Author(s):  
Fernando Alcalde Cuesta ◽  
Françoise Dal'Bo ◽  
Matilde Martínez ◽  
Alberto Verjovsky
Keyword(s):  
Hyperbolic Surfaces ◽  
Horocycle Flow

scholarly journals Corrigendum to "Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology"

2017 ◽  
Vol 37 (8) ◽  
pp. 4585-4586
Author(s):  
Fernando Alcalde Cuesta ◽  
◽  
Françoise Dal'Bo ◽  
Matilde Martínez ◽  
Alberto Verjovsky ◽  
...  
Keyword(s):  
Hyperbolic Surfaces ◽  
Horocycle Flow

Geometric Schottky groups and non-compact hyperbolic surfaces with infinite genus

2021 ◽  
Vol 76 ◽  
pp. 101752
Author(s):  
John A. Arredondo ◽  
Camilo Ramírez Maluendas
Keyword(s):  
Schottky Groups ◽  
Hyperbolic Surfaces

Asymptotic Estimates of the First Eigenvalue of the p-Laplacian

2003 ◽  
Vol 3 (2) ◽  
Author(s):  
Bruno Colbois ◽  
Ana-Maria Matei
Keyword(s):  
Direct Application ◽  
Parameter Family ◽  
Precise Estimate ◽  
First Eigenvalue ◽  
Asymptotic Estimates ◽  
Hyperbolic Surfaces ◽  
The First Eigenvalue

AbstractWe consider a 1-parameter family of hyperbolic surfaces M(t) of genus ν which degenerate as t → 0 and we obtain a precise estimate of λAs a direct application, we obtain that the quotientTo prove our results we use in an essential way the geometry of hyperbolic surfaces which is very well known. We show that an eigenfunction for λ

scholarly journals Isometry groups of infinite-genus hyperbolic surfaces

2021 ◽  
Author(s):  
Tarik Aougab ◽  
Priyam Patel ◽  
Nicholas G. Vlamis
Keyword(s):  
Hyperbolic Surfaces ◽  
Isometry Groups
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