%0 Journal Article
%T The expected number of inversions after n adjacent transpositions
%A Mireille Bousquet-M¨Ślou
%J Mathematics
%D 2009
%I arXiv
%X We give a new expression for the expected number of inversions in the product of n random adjacent transpositions in the symmetric group S_{m+1}. We then derive from this expression the asymptotic behaviour of this number when n scales with m in various ways. Our starting point is an equivalence, due to Eriksson et al., with a problem of weighted walks confined to a triangular area of the plane.
%U http://arxiv.org/abs/0909.0103v2