hyperbolic surfaces
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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
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