Cover Image

Improved fractal Weyl bounds matching improved spectral gaps for hyperbolic surfaces and open quantum maps

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Cunningham, Travis
Format:	Preprint
Published:	2026
Subjects:	Spectral Theory Analysis of PDEs 81U24 (Primary)35P25, 58J50 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Improved fractal Weyl bounds for convex cocompact hyperbolic surfaces and large resonance-free regions
by: Soares, Louis
Published: (2023)

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

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

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

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

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

Existence of resonances for Schrodinger operators on hyperbolic space
by: Borthwick, David, et al.
Published: (2021)

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

Trace formulas for the magnetic Laplacian and Dirichlet to Neumann operator -- Explicit expansions --
by: Helffer, Bernard, et al.
Published: (2024)

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)

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

Asymptotics for the spectral function on Zoll manifolds
by: Canzani, Yaiza, et al.
Published: (2022)

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

On the growth properties of interior transmission eigenfunctions near corners
by: Blåsten, Emilia L. K., et al.
Published: (2025)

Sharp bounds for higher Steklov-Dirichlet eigenvalues on domains with spherical holes
by: Basak, Sagar, et al.
Published: (2023)

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

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

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

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

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

Resonances and resonance expansions for point interactions on the half-space
by: Noja, Diego, et al.
Published: (2024)

Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains
by: Helffer, Bernard, et al.
Published: (2025)

Surfaces with Commuting Boundary Laplacian and Dirichlet-to-Neumann Map
by: Speciel, Romain
Published: (2025)

Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator
by: Speciel, Romain
Published: (2025)

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

Isoperimetric inequalities and sharp upper bounds for Aharonov-Bohm eigenvalues on surfaces
by: Michetti, Marco, et al.
Published: (2026)

On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
by: Provenzano, Luigi, et al.
Published: (2026)

Hydrogen-like Schrödinger Operators at Low Energies
by: Sussman, Ethan
Published: (2022)

Eigenvalue lower bounds through a generalized inradius
by: Frank, Rupert L., et al.
Published: (2025)

Spherical caps do not always maximize Neumann eigenvalues on the sphere
by: Bucur, Dorin, et al.
Published: (2025)

On Pleijel's nodal domain theorem for the Robin problem
by: Hassannezhad, Asma, et al.
Published: (2023)

Generic simplicity of ellipses
by: Hillairet, Luc, et al.
Published: (2024)

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

Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators
by: Dolbeault, Jean, et al.
Published: (2022)

Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces
by: Meng, Yifeng, et al.
Published: (2022)

Threshold Hierarchy for Packet-Scale Boundary Cancellation of Dirichlet Eigenfunctions
by: Alexa, Anton
Published: (2026)

Quantum Tunneling and the Aharonov-Bohm effect
by: Helffer, Bernard, et al.
Published: (2024)

Inverse Nonlinear Scattering by a Metric
by: Hintz, Peter, et al.
Published: (2024)