Typical hyperbolic surfaces have an optimal spectral gap
Fuente:
arXiv
Saved in:
| Main Author: | Monk, Laura |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
by: Anantharaman, Nalini, et al.
Published: (2025)
by: Anantharaman, Nalini, et al.
Published: (2025)
Typical hyperbolic surfaces have a spectral gap greater than $2/9 - ε$
by: Anantharaman, Nalini, et al.
Published: (2026)
by: Anantharaman, Nalini, et al.
Published: (2026)
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps I
by: Anantharaman, Nalini, et al.
Published: (2023)
by: Anantharaman, Nalini, et al.
Published: (2023)
Spectral Gaps on Large Hyperbolic Surfaces
by: Monk, Laura, et al.
Published: (2026)
by: Monk, Laura, et al.
Published: (2026)
The moduli space of twisted Laplacians and random matrix theory
by: Marklof, Jens, et al.
Published: (2024)
by: Marklof, Jens, et al.
Published: (2024)
Supersymmetric harmonic oscillators on singular geometries
by: Jayasinghe, Gayana
Published: (2025)
by: Jayasinghe, Gayana
Published: (2025)
Coexact 1-Laplacian spectral gap and exponential growth of a group
by: Dubashinskiy, Mikhail
Published: (2025)
by: Dubashinskiy, Mikhail
Published: (2025)
Explicit spectral gap for Hecke congruence covers of arithmetic Schottky surfaces
by: Soares, Louis
Published: (2023)
by: Soares, Louis
Published: (2023)
Large-$n$ asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces
by: Hide, Will, et al.
Published: (2023)
by: Hide, Will, et al.
Published: (2023)
Short geodesics and small eigenvalues on random hyperbolic punctured spheres
by: Hide, Will, et al.
Published: (2022)
by: Hide, Will, et al.
Published: (2022)
Smooth linear eigenvalue statistics on random covers of compact hyperbolic surfaces -- A central limit theorem and almost sure RMT statistics
by: Maoz, Yotam
Published: (2023)
by: Maoz, Yotam
Published: (2023)
Geometric effects of hyperbolic cohomology classes on Kähler manifolds (with an appendix by Benoît Claudon)
by: Bei, Francesco, et al.
Published: (2025)
by: Bei, Francesco, et al.
Published: (2025)
Variational formulas for determinant of Laplacian on higher genus polyhedral surface
by: Korikov, Dmitrii, et al.
Published: (2025)
by: Korikov, Dmitrii, et al.
Published: (2025)
The Steklov spectrum of convex polygonal domains II: investigating spectral determination
by: Dryden, Emily B., et al.
Published: (2026)
by: Dryden, Emily B., et al.
Published: (2026)
Geodesic flow and decay of traces on hyperbolic surfaces
by: Gansemer, Antoine, et al.
Published: (2024)
by: Gansemer, Antoine, et al.
Published: (2024)
About a Proposition on Escobar's paper "The Geometry of the First Non-zero Stekloff Eigenvalue"
by: Quiñones, Leoncio Rodriguez
Published: (2023)
by: Quiñones, Leoncio Rodriguez
Published: (2023)
The $L^1$-$L^\infty$-geometry of Teichmüller space -- Second order infinitesimal structures
by: Miyachi, Hideki
Published: (2024)
by: Miyachi, Hideki
Published: (2024)
Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients
by: Cohen, Adam, et al.
Published: (2025)
by: Cohen, Adam, et al.
Published: (2025)
Conformal optimization of eigenvalues on surfaces with symmetries
by: Vinokurov, Denis
Published: (2025)
by: Vinokurov, Denis
Published: (2025)
The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
by: Lauret, Emilio A., et al.
Published: (2023)
by: Lauret, Emilio A., et al.
Published: (2023)
Spectral statistics of the Laplacian on random covers of a closed negatively curved surface
by: Moy, Julien
Published: (2024)
by: Moy, Julien
Published: (2024)
The complex hyperbolic form as a Weil-Petersson form
by: Wang, Xiangsheng
Published: (2022)
by: Wang, Xiangsheng
Published: (2022)
The limit points of the bass notes of arithmetic hyperbolic surfaces
by: Magee, Michael
Published: (2024)
by: Magee, Michael
Published: (2024)
On an infinitesimal Polyakov formula for genus zero polyhedra
by: Kokotov, Alexey, et al.
Published: (2025)
by: Kokotov, Alexey, et al.
Published: (2025)
On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces
by: da Silva, Gedeana Pantoja, et al.
Published: (2024)
by: da Silva, Gedeana Pantoja, et al.
Published: (2024)
Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary
by: Bandara, Lashi, et al.
Published: (2018)
by: Bandara, Lashi, et al.
Published: (2018)
Generic simplicity of ellipses
by: Hillairet, Luc, et al.
Published: (2024)
by: Hillairet, Luc, et al.
Published: (2024)
Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary II
by: Mei, Xinqun, et al.
Published: (2024)
by: Mei, Xinqun, et al.
Published: (2024)
Surfaces with Commuting Boundary Laplacian and Dirichlet-to-Neumann Map
by: Speciel, Romain
Published: (2025)
by: Speciel, Romain
Published: (2025)
Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator
by: Speciel, Romain
Published: (2025)
by: Speciel, Romain
Published: (2025)
Recurrence formulae for spectral determinants
by: Cunha, J., et al.
Published: (2024)
by: Cunha, J., et al.
Published: (2024)
Casimir energy of hyperbolic orbifolds with conical singularities
by: Fedosova, Ksenia, et al.
Published: (2023)
by: Fedosova, Ksenia, et al.
Published: (2023)
The smallest Laplace eigenvalue of homogeneous 3-spheres
by: Lauret, Emilio A.
Published: (2018)
by: Lauret, Emilio A.
Published: (2018)
Isospectral CR manifolds with respect to the Kohn Laplacian
by: Gutierrez, Gerson, et al.
Published: (2023)
by: Gutierrez, Gerson, et al.
Published: (2023)
Adiabatic Limit, Theta Function, and Geometric Quantization
by: Yoshida, Takahiko
Published: (2019)
by: Yoshida, Takahiko
Published: (2019)
A Proof of the Eigenvalue Ratio Bound for Embedded Surfaces
by: Gloria-Picazzo, Ricardo, et al.
Published: (2026)
by: Gloria-Picazzo, Ricardo, et al.
Published: (2026)
Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces
by: Erchenko, Alena, et al.
Published: (2026)
by: Erchenko, Alena, et al.
Published: (2026)
On the Constants of the Lang-Trotter Conjecture for CM Elliptic Curves
by: Ray, Anish
Published: (2023)
by: Ray, Anish
Published: (2023)
The moduli space of HCMU surfaces
by: Lu, Sicheng, et al.
Published: (2025)
by: Lu, Sicheng, et al.
Published: (2025)
Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
by: Arosio, Leandro, et al.
Published: (2022)
by: Arosio, Leandro, et al.
Published: (2022)
Similar Items
-
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
by: Anantharaman, Nalini, et al.
Published: (2025) -
Typical hyperbolic surfaces have a spectral gap greater than $2/9 - ε$
by: Anantharaman, Nalini, et al.
Published: (2026) -
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps I
by: Anantharaman, Nalini, et al.
Published: (2023) -
Spectral Gaps on Large Hyperbolic Surfaces
by: Monk, Laura, et al.
Published: (2026) -
The moduli space of twisted Laplacians and random matrix theory
by: Marklof, Jens, et al.
Published: (2024)