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Around quantum ergodicity (Q2118367)

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scientific article; zbMATH DE number 7495614

Language	Label	Description	Also known as
English	Around quantum ergodicity	scientific article; zbMATH DE number 7495614

Statements

scholarly article

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Around quantum ergodicity (English)

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Annales Mathématiques du Québec

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publication date

22 March 2022

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full work available at URL

https://arxiv.org/abs/2103.08093

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zbMATH Keywords

quantum ergodicity

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quantum chaos

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eigenfunctions

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MaRDI profile type

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Entropy of Eigenfunctions

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Quantum ergodicity on large regular graphs

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Entropy of semiclassical measures of the Walsh-quantized Baker's map

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Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold

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Entropy and the localization of eigenfunctions

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A Haar component for quantum limits on locally symmetric spaces

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Recent results of quantum ergodicity on graphs and further investigation

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Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards

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Spectral gaps without the pressure condition

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Equipartition of the eigenfunctions of quantized ergodic maps on the torus

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Fast Computation of High‐Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann‐to‐Dirichlet Map

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Local Kesten-McKay law for random regular graphs

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Joint quasimodes, positive entropy, and quantum unique ergodicity

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Quantum ergodicity for Eisenstein functions

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Pseudo-laplaciens. I

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Pseudo-laplaciens. II

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Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE

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Microlocal limits of plane waves and Eisenstein functions

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Semiclassical measures on hyperbolic surfaces have full support

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Control of eigenfunctions on surfaces of variable curvature

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Quantum unique ergodicity

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Resonances for open quantum maps and a fractal uncertainty principle

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Quantum ergodicity for restrictions to hypersurfaces

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Spectral gaps, additive energy, and a fractal uncertainty principle

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Mathematical Theory of Scattering Resonances

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Scarred eigenstates for quantum cat maps of minimal periods

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Quantum ergodicity for a class of mixed systems

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Ergodic properties of eigenfunctions for the Dirichlet problem

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Equidistribution of Eisenstein Series for Convex Co-compact Hyperbolic Manifolds

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Percival’s conjecture for the Bunimovich mushroom billiard

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Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet)

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Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit)

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Distorted plane waves in chaotic scattering

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Local weak limits of Laplace eigenfunctions

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Quantum unique ergodicity for Eisenstein series on \(PSL_ 2(\mathbb{Z}){\setminus}PSL_ 2(\mathbb{R})\)

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Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution

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Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary

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Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus

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Hecke theory and equidistribution for the quantization of linear maps of the torus

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Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph

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Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)

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Almost all eigenfunctions of a rational polygon are uniformly distributed

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Anatomy of Quantum Chaotic Eigenstates

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On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)

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Entropy of semiclassical measures for nonpositively curved surfaces

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Entropy of semiclassical measures in dimension 2

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Remarks on quantum ergodicity

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The behaviour of eigenstates of arithmetic hyperbolic manifolds

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Recent progress on the quantum unique ergodicity conjecture

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Hangzhou Lectures on Eigenfunctions of the Laplacian

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Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\)

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Quantum ergodicity for pseudo-Laplacians

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An algorithm for the computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces

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Maaß cusp forms for large eigenvalues

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Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards

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Quantum ergodic restriction theorems: manifolds without boundary

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Uniform distribution of eigenfunctions on compact hyperbolic surfaces

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Mean Lindelöf hypothesis and equidistribution of cusp forms and Eisenstein series

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Quantum ergodicity of \(C^*\) dynamical systems

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Index and dynamics of quantized contact transformations

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Eigenfunctions of the Laplacian on a Riemannian Manifold

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Ergodicity of eigenfunctions for ergodic billiards

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S40316-021-00165-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2118367

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