Cover Image

Improved fractal Weyl bounds for convex cocompact hyperbolic surfaces and large resonance-free regions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Soares, Louis
Format:	Preprint
Published:	2023
Subjects:	Spectral Theory Analysis of PDEs 58J50, 81U24 (Primary) 11M36, 37C30 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Improved fractal Weyl bounds matching improved spectral gaps for hyperbolic surfaces and open quantum maps
by: Cunningham, Travis
Published: (2026)

Uniform resonance free regions for convex cocompact hyperbolic surfaces and expanders
by: Soares, Louis
Published: (2021)

Counter-examples to the fractal Weyl law for semiclassical resonances
by: Bony, Jean-Francois, et al.
Published: (2025)

Spectral flow and Levinson's theorem for Schrö dinger operators
by: Alexander, Angus, et al.
Published: (2024)

Spectral geometry of the curl operator on smoothly bounded domains
by: Greilhuber, Josef, et al.
Published: (2025)

Zonal states and improved $L^\infty$ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces
by: Chabert, Ambre, et al.
Published: (2026)

Dispersive Decay Estimates for periodic Jacobi operators on the half-line
by: Sagiv, Amir, et al.
Published: (2025)

Continuum limit of resonances for discrete Schrödinger operators
by: Kameoka, Kentaro, et al.
Published: (2024)

Semiclassical shape resonances for magnetic Stark Hamiltonians
by: Kameoka, Kentaro, et al.
Published: (2026)

Newton polygons and resonances of multiple delta-potentials
by: Datchev, Kiril, et al.
Published: (2022)

Explicit Semiclassical Resonances from Many Delta Functions
by: Brady, Ethan J.
Published: (2023)

The Bowen$\unicode{x2013}$Series coding and zeros of zeta functions
by: Pollicott, Mark, et al.
Published: (2022)

Complex absorbing potential method for Stark resonances
by: Kameoka, Kentaro
Published: (2021)

Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends
by: Jézéquel, Malo
Published: (2022)

Quantum resonances and scattering poles of classical rank one locally symmetric spaces
by: Delarue, Benjamin, et al.
Published: (2024)

Global counterexamples to uniqueness for a Calderón problem with $C^k$ conductivities
by: Daudé, Thierry, et al.
Published: (2024)

Emergence of quantum dynamics from chaos: The case of prequantum cat maps
by: Cuesta, Javier Echevarría
Published: (2022)

First variation of flat traces on negatively curved surfaces
by: Lam, Hy
Published: (2026)

Complex translation methods and its application to resonances for quantum walks
by: Higuchi, Kenta, et al.
Published: (2023)

Explicit spectral gap for Hecke congruence covers of arithmetic Schottky surfaces
by: Soares, Louis
Published: (2023)

Small eigenvalues of hyperbolic surfaces with many cusps
by: Hide, Will, et al.
Published: (2024)

The Weyl law for the Dirichlet Laplacian
by: Contini, Alessandro Pietro
Published: (2025)

Equidistribution of Eigenfunctions of Quantum Cat Maps
by: Koirala, Robert
Published: (2026)

Prescription of the Robin spectrum
by: He, Xiang, et al.
Published: (2025)

Non-density of nodal lines in the clamped plate problem
by: Enciso, Alberto, et al.
Published: (2025)

The moduli space of twisted Laplacians and random matrix theory
by: Marklof, Jens, et al.
Published: (2024)

Computing scattering resonances of rough obstacles
by: Rösler, Frank, et al.
Published: (2024)

Generic injectivity of the X-ray transform
by: Cekić, Mihajlo, et al.
Published: (2021)

Spectral statistics of the Laplacian on random covers of a closed negatively curved surface
by: Moy, Julien
Published: (2024)

Mass equidistribution for lifts on hyperbolic $4$-manifolds
by: de Faveri, Alexandre, et al.
Published: (2026)

On Arnold's Transversality Conjecture for the Laplace--Beltrami Operator
by: Greilhuber, Josef, et al.
Published: (2023)

Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds
by: de Faveri, Alexandre, et al.
Published: (2024)

WKB for semiclassical operators: How to fly over caustics (and more)
by: Ngoc, San Vũ
Published: (2026)

Geodesic flow and decay of traces on hyperbolic surfaces
by: Gansemer, Antoine, et al.
Published: (2024)

Resonant tunneling effect for quantum walks on directed graphs
by: Higuchi, Kenta
Published: (2025)

On the interplay between inverse scattering for asymptotically hyperbolic manifolds and the Calderón problem for the Conformal Laplacian
by: Muñoz-Thon, Sebastián
Published: (2025)

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)

On quasi-isospectrality of potentials and Riemannian manifolds
by: Aldana, Clara L., et al.
Published: (2022)

Analytic local resolution of Medvedev's Morse index conjecture for the critical hyperbolic catenoid in $\mathbb{H}^3$
by: Pigazzini, Alexander
Published: (2026)

The Steklov spectrum of convex polygonal domains II: investigating spectral determination
by: Dryden, Emily B., et al.
Published: (2026)