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arXiv · 0911.3379

Transitional random matrix theory nearest-neighbor spacing distributions

Fredy Zypman
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Abstract

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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Fredy Zypman. 2009-11-17. Transitional random matrix theory nearest-neighbor spacing distributions. https://doi.org/10.1088/1751-8113%2F43%2F22%2F225203

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