On Painleve Related Functions Arising in Random Matrix Theory

Details On Painleve Related Functions Arising in Random Matrix Theory On Painleve Related Functions Arising in Random Matrix Theory

2011-01-27

arxiv.org/abs/1101.5218v1

Mathematics

Probability

22 pages

Scientific paper

In deriving large n probability distribution function of the rightmost
eigenvalue from the classical Random Matrix Theory Ensembles, one is faced with
que question of ?finding large n asymptotic of certain coupled set of
functions. This paper presents some of these functions in a new light.

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