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nlin.CD2021★ 2 cited
Random matrices associated with general barrier billiards
Eugene Bogomolny
The paper is devoted to the derivation of random unitary matrices whose spectral statistics is the same as statistics of quantum eigenvalues of certain deterministic two-dimensiona…
nlin.CD2021★ 6 cited
Barrier billiard and random matrices
Eugene Bogomolny
The barrier billiard is the simplest example of pseudo-integrable models with interesting and intricate classical and quantum properties. Using the Wiener-Hopf method it is demonst…