Spacing distributions for rhombus billiards

DOI10.1088/0305-4470/31/37/003zbMath0948.37025arXivchao-dyn/9807022OpenAlexW2149588760MaRDI QIDQ4259734

Sudhir R. Jain, Benoît Grémaud

Publication date: 23 November 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9807022

zbMATH Keywords

Poisson distributionrational rhombus billiards

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10)

Related Items (13)

Random matrices associated with general barrier billiards ⋮ Statistical and dynamical properties of the quantum triangle map ⋮ Barrier billiard and random matrices ⋮ Spectral properties of quantized barrier billiards ⋮ Spectral properties of quantum circulant graphs ⋮ Random matrix theories and exactly solvable models ⋮ Solvable scalar and spin models with near-neighbors interactions ⋮ An exactly solvable many-body problem in one dimension and the short-range Dyson model. ⋮ A nodal domain theorem for integrable billiards in two dimensions ⋮ Limit distribution of the nodal domain number for the right-isosceles triangle billiard ⋮ Pseudo-Hermitian random matrix theory ⋮ Brownian motion model of random matrices revisited ⋮ Exact solution of a many-body problem with nearest and next-nearest neighbour interactions

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