Quantum ergodic sequences and equilibrium measures

DOI10.1007/s00365-017-9397-zzbMath1384.58026arXiv1707.06158OpenAlexW2963066129MaRDI QIDQ1702112

Steven Zelditch

Publication date: 28 February 2018

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06158

zbMATH Keywords

line bundleequilibrium measureBergman/Szegő kernelquantum ergodic sequencerandom holomorphic section

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (1)

Mass equidistribution for random polynomials

Cites Work

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• Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles
• Fluctuations of eigenvalues of random normal matrices
• Fekete points and convergence towards equilibrium measures on complex manifolds
• Index and dynamics of quantized contact transformations
• Intrinsic capacities on compact Kähler manifolds
• Convergence of random zeros on complex manifolds
• A direct approach to Bergman kernel asymptotics for positive line bundles
• Growth of balls of holomorphic sections and energy at equilibrium
• Asymptotics for Christoffel functions of planar measures
• Number variance of random zeros on complex manifolds
• Distribution of zeros of random and quantum chaotic sections of positive line bundles
• Chaotic eigenfunctions in phase space.
• Random polynomials and pluripotential-theoretic extremal functions
• Holomorphic Morse inequalities and Bergman kernels
• Super Toeplitz operators on line bundles
• Zeros of random polynomials on \(\mathbb C^m\)
• Distribution of the values of meromorphic transformations and applications
• Equidistribution of zeros of random holomorphic sections
• Large Deviations of Empirical Measures of Zeros of Random Polynomials
• Bergman kernels for weighted polynomials and weighted equilibrium measures of $\mathbb{C}^{n}$
• Equidistribution results for singular metrics on line bundles
• Prequantum transfer operator for symplectic Anosov diffeomorphism
• Weighted polynomials and weighted pluripotential theory
• Bergman kernels and equilibrium measures for line bundles over projective manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Random polynomials and (pluri)potential theory

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