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nlin.CD2009★ 52 cited
Random matrix ensembles associated with Lax matrices
E. Bogomolny, O. Giraud, C. Schmit
A method to generate new classes of random matrix ensembles is proposed. Random matrices from these ensembles are Lax matrices of classically integrable systems with a certain dist…
nlin.CD2009★ 8 cited
Near integrable systems
E. Bogomolny, M. R. Dennis, R. Dubertrand
A two-dimensional circular quantum billiard with unusual boundary conditions introduced by Berry and Dennis (\emph{J Phys A} {\bf 41} (2008) 135203) is considered in detail. It is…