scholarly journals Fourier dimension and spectral gaps for hyperbolic surfaces

2017 ◽  
Vol 27 (4) ◽  
pp. 744-771 ◽  
Author(s):  
Jean Bourgain ◽  
Semyon Dyatlov
Keyword(s):  
Spectral Gaps ◽  
Hyperbolic Surfaces ◽  
Fourier Dimension

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 Spectral gaps in the near-field heat flux

2019 ◽  
Vol 3 (1) ◽  
Author(s):  
J. E. Pérez-Rodríguez ◽  
G. Pirruccio ◽  
Raúl Esquivel-Sirvent
Keyword(s):  
Heat Flux ◽  
Near Field ◽  
Spectral Gaps

scholarly journals Uniform Estimates of Nonlinear Spectral Gaps

2014 ◽  
Vol 31 (5) ◽  
pp. 1517-1530
Author(s):  
Takefumi Kondo ◽  
Tetsu Toyoda
Keyword(s):  
Spectral Gaps ◽  
Uniform Estimates

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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