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Recent progress on the quantum unique ergodicity conjecture (Q3168751)

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Language	Label	Description	Also known as
English	Recent progress on the quantum unique ergodicity conjecture	scientific article

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scholarly article

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Recent progress on the quantum unique ergodicity conjecture (English)

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zbMATH Open document ID

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10.1090/S0273-0979-2011-01323-4

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Bulletin of the American Mathematical Society

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publication date

19 April 2011

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

quantum unique ergodicity conjecture

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Peter C. Sarnak

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MaRDI profile type

MaRDI publication profile

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Entropy and the localization of eigenfunctions

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

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Exact theory for the quantum eigenstates of a strongly chaotic system

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A family of Calabi-Yau varieties and potential automorphy. II.

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Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards

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Smoothed wave functions of chaotic quantum systems

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Entropy of quantum limits

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On the entropy of quantum limits for 2-dimensional cat maps

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On ergodic properties of certain billiards

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Bouncing Ball Modes and Quantum Chaos

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Quasi-modes sur les variétés Riemanniennes

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La conjecture de Weil. I

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Quantum unique ergodicity

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Invariant measures and the set of exceptions to Littlewood's conjecture

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On the absolute value of Ramanujan's \(\tau\)-function

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Scarred eigenstates for quantum cat maps of minimal periods

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Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman

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Ergodic properties of eigenfunctions for the Dirichlet problem

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The square mean of Dirichlet series associated with cusp forms

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The distribution of values of \(L(1,\chi_d)\)

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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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Sieving for mass equidistribution

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Mass equidistribution for Hecke eigenforms

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Trilinear forms and the central values of triple product \(L\)-functions

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

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Cuspidality of symmetric powers with applications.

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The central critical value of a triple product \(L\)-function

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

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Subconvexity bounds for Rankin-Selberg \(L\)-functions for congruence subgroups

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

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Mass equidistribution for Hecke eigenforms

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

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Values of symmetric square L-functions at 1

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The subconvexity problem for \(\mathrm{GL}_2\)

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Multiplicative functions of polynomial values in short intervals

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Chaotic eigenfunctions in phase space.

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THE ARITHMETIC THEORY OF QUANTUM MAPS

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The behaviour of eigenstates of arithmetic hyperbolic manifolds

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×2 and ×3 invariant measures and entropy

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Spectra of hyperbolic surfaces

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Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity

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Distribution of zeros of random and quantum chaotic sections of positive line bundles

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On quantum unique ergodicity for locally symmetric spaces

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Weak subconvexity for central values of \(L\)-functions

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The modulus of continuity for \(\Gamma_0(m)\backslash{\mathbb H}\) semi-classical limits

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Uniform distribution of eigenfunctions on compact hyperbolic surfaces

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Note on quantum unique ergodicity

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Recent developments in mathematical Quantum Chaos

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Index and dynamics of quantized contact transformations

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Ergodicity of eigenfunctions for ergodic billiards

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full work available at URL

https://doi.org/10.1090/s0273-0979-2011-01323-4

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Sitelinks

Mathematics(1 entry)

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