Near optimal spectral gaps for hyperbolic surfaces (Q6093290)

scientific article; zbMATH DE number 7734891

Language	Label	Description	Also known as
English	Near optimal spectral gaps for hyperbolic surfaces	scientific article; zbMATH DE number 7734891

Statements

instance of

scholarly article

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title

Near optimal spectral gaps for hyperbolic surfaces (English)

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Annals of Mathematics. Second Series

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publication date

6 September 2023

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full work available at URL

https://arxiv.org/abs/2107.05292

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zbMATH Keywords

spectral gap

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hyperbolic surface

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small eigenvalues

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random covering space

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MaRDI profile type

MaRDI publication profile

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cites work

Eigenvalues and expanders

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Q3310101

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The spectrum of hyperbolic surfaces. Translated from the French by Farrell Brumley

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Eigenvalues of random lifts and polynomials of random permutation matrices

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Spectral theory of infinite-area hyperbolic surfaces

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Riemann surfaces with large first eigenvalue

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Random construction of Riemann surfaces

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Cubic graphs and the first eigenvalue of a Riemann surface

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On the bipartition of graphs

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Geometry and spectra of compact Riemann surfaces

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The strong asymptotic freeness of Haar and deterministic matrices

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The probability of generating the symmetric group

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Relative expanders or weakly relatively Ramanujan graphs.

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A proof of Alon’s second eigenvalue conjecture and related problems

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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Upper bounds on the number of resonances for non-compact Riemann surfaces

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A new application of random matrices: $\operatorname{Ext} (C_{\text{red}}^*(F_2))$ is not a group

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Spectral Gap for Weil–Petersson Random Surfaces with Cusps

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Über den ersten Eigenwert des Laplace-Operators auf kompakten Riemannschen Flächen

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Automorphic forms on GL (2)

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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Cuspidality of symmetric powers with applications.

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Functorial products for $\text{GL}_2\times \text{GL}_3$ and the symmetric cube for $\text{GL}_2$.

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Q3919784

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On Selberg's eigenvalue conjecture

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Quantitative spectral gap for thin groups of hyperbolic isometries

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Explicit spectral gaps for random covers of Riemann surfaces

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

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The Asymptotic Statistics of Random Covering Surfaces

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Correction to: Silberg' trace formua as applied to a compact riemann surface by H. P. Mckean, comm. pure appl. math. 25, pp. 225‐246,1972

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Growth of Weil-Petersson volumes and random hyperbolic surface of large genus

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For every hyperbolic surface of genus $g,\lambda_{2g-2}>1/4$

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Q4896138

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On a linearization trick

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Small eigenvalues of the Laplace operator on compact Riemann surfaces

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Q3237356

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Q5517939

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Analysis of the Laplacian on a complete Riemannian manifold

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Sharp polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in $\mathbb{R}{}^ n$

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Sharp bounds on the number of scattering poles for perturbations of the Laplacian

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Sharp bounds on the number of scattering poles in even-dimensional spaces

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On Some Exponential Sums

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A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces

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Small eigenvalues of closed Riemann surfaces for large genus

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

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Identifiers

arXiv ID

2107.05292

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DOI

10.4007/annals.2023.198.2.6

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6093290