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Topological entropy for geodesic flows

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On the spectrum of towers

Harold Donnelly · 1983

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Eigenvalues in Riemannian geometry

Isaac Chavel · 1984

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λ 1 , \lambda_{1}, isoperimetric inequalities for graphs, and superconcentrators

N. Alon and V. D. Milman · 1985

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Alano Ancona · 1987

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Heat Kernels and Spectral Theory

E. B. Davies · 1989

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Théorie du Potentiel sur les Graphes et les Variétés

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Heat kernel bounds, conservation of probability and the feller property

E B Davies · 1992

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Riemannian Geometry

Manfredo P. do Carmo · 1992

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Integral maximum principle and its applications

Alexander Grigor’yan · 1994

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Discrete groups, expanding graphs and invariant measures

Alexander Lubotzky · 1994

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Harmonic measures, Hausdorff measures and positive eigenfunctions

Ursula Hamenstadt · 1996

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Metric spaces of non-positive curvature

Martin R. Bridson and André Haefliger · 1999

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Estimates of Heat Kernels on Riemannian Manifolds

Strongly convergent unitary representations of limit groups

Original

Larsen Louder, Michael Magee, et al · 2022

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A random cover of a compact hyperbolic surface has relative spectral gap 3 16 − ε \frac{3}{16}-\varepsilon

Michael Magee, Frédéric Naud, and Doron Puder · 2022

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Random hyperbolic surfaces of large genus have first eigenvalues greater than 3 16 − ϵ \frac{3}{16}-\epsilon

Yunhui Wu and Yuhao Xue · 2022

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Near optimal spectral gaps for hyperbolic surfaces

Will Hide and Michael Magee · 2023

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Spectral gap of random hyperbolic surfaces

Nalini Anantharaman and Laura Monk · 2024

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