Transitional random matrix theory nearest-neighbor spacing distributions

Details Transitional random matrix theory nearest-neighbor spacing distributions Transitional random matrix theory nearest-neighbor spacing distributions

2009-11-17

arxiv.org/abs/0911.3379v1

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/43/22/225203

This paper presents a study of the properties of a matrix model that was
introduced to describe transitions between all Wigner surmises of Random Matrix
theory. New results include closed-form exact analytical expressions for the
transitional probability density functions, as well as suitable analytical
approximations for cases not amenable to explicit representation.

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