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math.CO2005
Correlation functions for random involutions
Peter J. Forrester, Taro Nagao, Eric M. Rains
Our interest is in the scaled joint distribution associated with -increasing subsequences for random involutions with a prescribed number of fixed points. We proceed by specifyi…
math.CO1999
Random walks and random permutations
P. J. Forrester
A connection is made between the random turns model of vicious walkers and random permutations indexed by their increasing subsequences. Consequently the scaled distribution of the…