318, Birkhäuser Cham, 2016

David Borthwick, Spectral Theory of Infinite-Area Hyperbolic Surfaces , 2 ed · 2016

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math.DG · 2025-01-16 · conditional · novelty 7.0

For every fixed k and every ε>0, the maximum of λ_k - λ_{k-1} over genus-g hyperbolic surfaces with systole at least ε tends to 1/4 as g→∞.

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Spectral gaps on thick part of moduli spaces math.DG · 2025-01-16 · conditional · none · ref 5
For every fixed k and every ε>0, the maximum of λ_k - λ_{k-1} over genus-g hyperbolic surfaces with systole at least ε tends to 1/4 as g→∞.