Determinants of Laplacians on random hyperbolic surfaces (Q6183786)

scientific article; zbMATH DE number 7793427

Language	Label	Description	Also known as
English	Determinants of Laplacians on random hyperbolic surfaces	scientific article; zbMATH DE number 7793427

Statements

instance of

scholarly article

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title

Determinants of Laplacians on random hyperbolic surfaces (English)

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author

Frédéric Naud

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published in

Journal d'Analyse Mathématique

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publication date

23 January 2024

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full work available at URL

https://arxiv.org/abs/2301.09965

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MaRDI profile type

MaRDI publication profile

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cites work

The asymptotic growth of torsion homology for arithmetic groups

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Q2743189

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Determinants of Laplace-like operators on Riemann surfaces

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Determinants of Laplacians and isopolar metrics on surfaces of infinite area.

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The spectral geometry of a tower of coverings

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Q2782538

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Random construction of Riemann surfaces

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Analytic torsion and the heat equation

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On determinants of Laplacians on Riemann surfaces

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Determinants of Laplacians on surfaces of finite volume

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Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy

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The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I

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On the critical line of convex co-compact hyperbolic surfaces

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Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups

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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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Conformal extension of metrics of negative curvature

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Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces

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

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Lengths of closed geodesics on random surfaces of large genus

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Benjamini-Schramm convergence and spectra of random hyperbolic surfaces of high genus

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Analytic torsion and R-torsion of Riemannian manifolds

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Extremals of determinants of Laplacians

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

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Random regular graphs and the systole of a random surface

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Graphs of large girth and surfaces of large systole

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A remarkable formula for the determinant of the Laplacian

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Determinants of Laplacians

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Bounds for multiplicities of automorphic representations

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Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces

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Unitary representations of fundamental groups and the spectrum of twisted Laplacians

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Q3997235

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Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces

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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

2301.09965

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DOI

10.1007/s11854-023-0334-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6183786