Non-Gaussian Waves in Šeba’s Billiard

DOI10.1093/imrn/rnab289OpenAlexW3205694029MaRDI QIDQ5874080

Pär Kurlberg, Henrik Ueberschär

Publication date: 10 February 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03536

zbMATH Keywords

integrabilityrectangular torusGaussian value distribution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Ergodicity, mixing, rates of mixing (37A25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Dynamical systems with singularities (billiards, etc.) (37C83)

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