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Random Matrices and Partitions
We begin by defining an integrable hierarchy called the KP hierarchy in terms of psuedodifferential operators. Unitary-invariant matrix ensembles provide examples of solutions to the KP hierarchy, another class of solutions to the KP hierarchy is given by Riemann surfaces with a line bundle and marked point.openaire +1 more source
Conditional formulae for Gibbs-type exchangeable random partitions
Annals of Applied Probability, 2013Antonio Lijoi +2 more
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Asymptotics of Plancherel-type random partitions
Journal of Algebra, 2007Grigori Olshanski, Alexei Borodin
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The shape of a random affine Weyl group element and random core partitions
Annals of Probability, 2015Thomas Lam
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Set partitions and moments of random variables
Journal of Mathematical Analysis and Applications, 2011Javier Carcamo
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Looking-backward probabilities for Gibbs-type exchangeable random partitions
Bernoulli, 2015Lorenzo Trippa, Stefano Favaro
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An ergodic theorem for partially exchangeable random partitions
Electronic Communications in Probability, 2017, Yuri Yakubovich
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