7 citations · 14 across the 4 of their papers we have counts for
4 papers
The Möbius function on Affine Grassmannian elements
Michael Lugo, Mark Shimozono
To any saturated chain in the affine Weyl group whose translation parts are sufficiently regular, we associate a near path and a far path in the quantum Bruhat graph. Using this, w…
The cycle structure of compositions of random involutions
Michael Lugo
In this article we consider the cycle structure of compositions of pairs of involutions in the symmetric group S_n chosen uniformly at random. These can be modeled as modified 2-re…
The number of cycles of specified normalized length in permutations
Michael Lugo
We compute the limiting distribution, as n approaches infinity, of the number of cycles of length between gamma n and delta n in a permutation of [n] chosen uniformly at random, fo…
Profiles of permutations
Michael Lugo
This paper develops an analogy between the cycle structure of, on the one hand, random permutations with cycle lengths restricted to lie in an infinite set with asymptotic dens…