61 citations · 244 across the 74 of their papers we have counts for
5 papers · 1 filter
GL(n,q) and Increasing Subsequences in Nonuniform Random Permutations
Jason Fulman
Connections between longest increasing subsequences in random permutations and eigenvalues of random matrices with complex entries have been intensely studied. This note applies pr…
A New Bound for Kloosterman Sums
Jason Fulman
We give generating functions for Gauss sums for finite general linear and unitary groups. For the general linear case only our method of proof is new, but we deduce a bound on Kloo…
Applications of Symmetric Functions to Cycle and Increasing Subsequence Structure after Shuffles (Part 2)
Jason Fulman
Using the Berele/Remmel/Kerov/Vershik variation of the Robinson-Schensted-Knuth correspondence, we study the cycle and increasing subsequence structure after various methods of shu…
Applications of Symmetric Functions to Cycle and Subsequence Structure after Shuffles
Jason Fulman
Using symmetric function theory, we study the cycle structure and increasing subsequence structure of permutations after various shuffling methods, emphasizing the role of Cauchy t…
Applications of the Brauer complex: card shuffling, permutation statistics, and dynamical systems
Jason Fulman
By algebraic group theory, there is a map from the semisimple conjugacy classes of a finite group of Lie type to the conjugacy classes of the Weyl group. Picking a semisimple class…