The asymptotics of monotone subsequences of involutions

@inproceedings{Baik2001TheAO,
  title={The asymptotics of monotone subsequences of involutions},
  author={Jinho Baik and Eric M. Rains},
  year={2001}
}
We consider the asymptotics of the distributions of the lengths of the longest monotone subsequences of random involutions taken from various ensembles. They are ensembles of involutions, signed involutions, involutions with constraint on the number of fixed points and signed involutions with constraint on the number of fixed and negated points. The resulting limiting distributions are expressed in terms of either the Tracy-Widom distributions for the largest eigenvalues of random GOE, GUE, GSE… CONTINUE READING
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