Cover Image

Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Shen, Yang, Wu, Yunhui
Format:	Preprint
Published:	2022
Subjects:	Differential Geometry Geometric Topology Probability Spectral Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nearly optimal spectral gaps for random Belyi surfaces
by: Shen, Yang, et al.
Published: (2025)

Uniform spectral gaps for random hyperbolic surfaces with not many cusps
by: He, Yuxin, et al.
Published: (2026)

On second eigenvalues of closed hyperbolic surfaces for large genus
by: He, Yuxin, et al.
Published: (2022)

Spectral gap with polynomial rate for Weil-Petersson random surfaces
by: Hide, Will, et al.
Published: (2025)

Coexact $1$-form spectral gaps of hyperbolic rational homology spheres
by: Lin, Francesco, et al.
Published: (2026)

Mirzakhani's frequencies of simple closed geodesics on hyperbolic surfaces in large genus and with many cusps
by: Ren, Irene
Published: (2023)

Linear programming bounds for hyperbolic surfaces
by: Bourque, Maxime Fortier, et al.
Published: (2023)

Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
by: Abdurrahman, Amina, et al.
Published: (2024)

Non-simple systoles on random hyperbolic surfaces for large genus
by: He, Yuxin, et al.
Published: (2023)

Spectral gaps on thick part of moduli spaces
by: Wu, Yunhui, et al.
Published: (2025)

Short geodesics and small eigenvalues on random hyperbolic punctured spheres
by: Hide, Will, et al.
Published: (2022)

Prime geodesic theorem and closed geodesics for large genus
by: Wu, Yunhui, et al.
Published: (2022)

Dirac spectral flow and Floer theory of hyperbolic three-manifolds
by: Lin, Francesco, et al.
Published: (2025)

Limit points of uniform arithmetic bass notes
by: Hide, Will, et al.
Published: (2024)

Apollonian random manifolds and their bass notes
by: Hide, Will, et al.
Published: (2025)

Topology of the Dirac equation on spectrally large three-manifolds
by: Lin, Francesco
Published: (2024)

Eigenvalue rigidity of hyperbolic surfaces in the random cover model
by: Kim, Elena, et al.
Published: (2026)

Large-$n$ asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces
by: Hide, Will, et al.
Published: (2023)

The Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian
by: Bourque, Maxime Fortier, et al.
Published: (2021)

An Approximate Inverse Spectral Theorem for Manifolds of Constant Negative Curvature
by: Mukherjee, Mayukh
Published: (2026)

Spectral gap of random hyperbolic surfaces
by: Anantharaman, Nalini, et al.
Published: (2024)

Nil 3-manifolds and cusps of complex hyperbolic surfaces
by: Paupert, Julien, et al.
Published: (2024)

A sharper bound on the minimal possible diameter of a closed hyperbolic surface
by: Mathien, Joffrey, et al.
Published: (2026)

Parabolic-preserving deformations of cusped hyperbolic lattices
by: Ballas, Samuel A., et al.
Published: (2026)

Random graphs, expanding families and the construction of noncompact hyperbolic surfaces with uniform spectral gaps
by: Guo, Qi, et al.
Published: (2025)

The Tits alternative for visibility spaces
by: Ji, Ran, et al.
Published: (2025)

Averages of determinants of Laplacians over moduli spaces for large genus
by: He, Yuxin, et al.
Published: (2024)

Brownian Loops and the Selberg Zeta Function
by: Lemonde, Roman, et al.
Published: (2026)

On ends of finite-volume noncompact manifolds of nonpositive curvature
by: Ji, Ran, et al.
Published: (2018)

A sharp lower bound on the small eigenvalues of surfaces
by: Gross, Renan, et al.
Published: (2024)

Constructing many-twist Möbius bands with small aspect ratios
by: Hennessey, Aidan
Published: (2024)

Short geodesics and multiplicities of eigenvalues of hyperbolic surfaces
by: He, Xiang, et al.
Published: (2025)

Random infinite ideal angled graphs and ideal hyperbolic polyhedra
by: Ge, Huabin, et al.
Published: (2026)

Asymptotics of shortest filling closed multi-geodesics
by: Gao, Yue, et al.
Published: (2025)

Construction of a Closed Hyperbolic Surface of Arbitrarily Small Eigenvalue of Prescribed Serial Number
by: Pal, Susovan
Published: (2026)

Cross ratios and cubulations of hyperbolic groups
by: Beyrer, Jonas, et al.
Published: (2018)

Projective rigidity of circle patterns and polyhedral surfaces in hyperbolic ends
by: Schlenker, Jean-Marc
Published: (2025)

Embedded convex surfaces in hyperbolic and anti-de Sitter spaces
by: Mesbah, Abderrahim
Published: (2025)

Isospectrality for infinite-type hyperbolic surfaces with discrete length spectrum
by: Fanoni, Federica, et al.
Published: (2026)

On the Weyl problem for complete surfaces in the hyperbolic and anti-de Sitter spaces
by: Schlenker, Jean-Marc
Published: (2020)