hyperbolic surfaces
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scholarly journals Distinct distances on hyperbolic surfaces

2021 ◽  
Author(s):  
Xianchang Meng
Keyword(s):  
Hyperbolic Surfaces

scholarly journals Counting Geodesics, Teichmüller Space, and Random Hyperbolic Surfaces

2021 ◽  
Vol 68 (11) ◽  
pp. 1
Author(s):  
Scott A Wolpert
Keyword(s):  
Hyperbolic Surfaces

scholarly journals Effective counting of simple closed geodesics on hyperbolic surfaces

2021 ◽  
Author(s):  
Alex Eskin ◽  
Maryam Mirzakhani ◽  
Amir Mohammadi
Keyword(s):  
Closed Geodesics ◽  
Hyperbolic Surfaces ◽  
Simple Closed Geodesics

scholarly journals Delaunay triangulations of hyperbolic surfaces

2021 ◽  
Author(s):  
◽  
Yde Matthijs Ebbens
Keyword(s):  
Hyperbolic Surfaces ◽  
Delaunay Triangulations

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

scholarly journals Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces

2021 ◽  
Author(s):  
Ren Zhang ◽  
Chenwei Lv ◽  
Yangqian Yan ◽  
Qi Zhou
Keyword(s):  
Hyperbolic Surfaces

scholarly journals THE SIMPLE SEPARATING SYSTOLE FOR HYPERBOLIC SURFACES OF LARGE GENUS

2021 ◽  
pp. 1-10
Author(s):  
Hugo Parlier ◽  
Yunhui Wu ◽  
Yuhao Xue
Keyword(s):  
Expected Value ◽  
Hyperbolic Surfaces ◽  
Random Surface ◽  
Large Genus ◽  
Strong Contrast

Abstract In this note we show that the expected value of the separating systole of a random surface of genus g with respect to Weil–Petersson volume behaves like $2\log g $ as the genus goes to infinity. This is in strong contrast to the behavior of the expected value of the systole which, by results of Mirzakhani and Petri, is independent of genus.

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

Ideal triangulation and minimal shearing of punctured hyperbolic surfaces

2021 ◽  
Vol 495 (2) ◽  
pp. 124746
Author(s):  
Manman Jiang
Keyword(s):  
Hyperbolic Surfaces ◽  
Ideal Triangulation

Strain tensors on hyperbolic surfaces and their applications

2021 ◽  
pp. 108986
Author(s):  
Peng-Fei Yao
Keyword(s):  
Hyperbolic Surfaces ◽  
Strain Tensors
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