7 citations · 7 across the 3 of their papers we have counts for
3 papers
math.CO2021
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…
math.CO2009★ 7 cited
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…
math.CO2009
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…