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math.PR2010
On a flow of operators associated to virtual permutations
Joseph Najnudel, Ashkan Nikeghbali
Kerov, Olshanski and Vershik introduced the so-called virtual permutations, defined as families of permutations , in the symmetric group of order , such…
math.PR2010
The distribution of eigenvalues of randomized permutation matrices
Joseph Najnudel, Ashkan Nikeghbali
In this article we study in detail a family of random matrix ensembles which are obtained from random permutations matrices (chosen at random according to the Ewens measure of para…