117 citations · 646 across the 47 of their papers we have counts for
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math.PR2004
Expectations of hook products on large partitions
Mark Adler, Alexei Borodin, Pierre van Moerbeke
Given uniform probability on words of length M=Np+k, from an alphabet of size p, consider the probability that a word (i) contains a subsequence of letters (p, p-1,...,1) in that o…
math.PR2004★ 63 cited
PDEs for the joint distributions of the Dyson, Airy and Sine processes
Mark Adler, Pierre van Moerbeke
In a celebrated paper, Dyson shows that the spectrum of an n\times n random Hermitian matrix, diffusing according to an Ornstein-Uhlenbeck process, evolves as n noncolliding Browni…