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Showing 2012 · math-phShow all
3 papers · 2 filters
math-ph2012★ 3 cited
Painleve II in random matrix theory and related fields
Peter J. Forrester, Nicholas S. Witte
We review some occurrences of Painlevé II transcendents in the study of two-dimensional Yang-Mills theory, fluctuation formulas for growth models, and as distribution functions wit…
math-ph2012
Asymptotics of spacing distributions at the hard edge for -ensembles
Peter J. Forrester
In a previous work [J. Math. Phys. {\bf 35} (1994), 2539--2551], generalized hypergeometric functions have been used to a give a rigorous derivation of the large asymptotic for…
math-ph2012★ 7 cited
Asymptotics of spacing distributions 50 years later
Peter J. Forrester
In 1962 Dyson used a physically based, macroscopic argument to deduce the first two terms of the large spacing asymptotic expansion of the gap probability for the bulk state of ran…