3 citations · 4 across the 10 of their papers we have counts for
5 papers · 1 filter
Finite Affine Groups: Cycle Indices, Hall-Littlewood Polynomials, and Probabilistic Algorithms
Jason Fulman
The asymptotic study of the conjugacy classes of a random element of the finite affine group leads one to define a probability measure on the set of all partitions of all positive…
Random matrix theory over finite fields: a survey
Jason Fulman
First we survey generating function methods for obtaining useful probability estimates about random matrices in the finite classical groups. Then we describe a probabilistic pictur…
A Probabilistic Approach to Conjugacy Classes in the Finite Symplectic and Orthogonal Groups
Jason Fulman
Markov chains are used to give a purely probabilistic way of understanding the conjugacy classes of the finite symplectic and orthogonal groups in odd characteristic. As a corollar…
An Application of the Whitehouse Module to Riffle Shuffles Followed by a Cut
Jason Fulman
Using representation theoretic work on the Whitehouse module, a formula is obtained for the cycle structure of a riffle shuffle followed by a cut. This result will be merged with t…
A Probabilistic Proof of the Rogers Ramanujan Identities
Jason Fulman
The asymptotic probability theory of conjugacy classes of the finite general linear and unitary groups leads to a probability measure on the set of all partitions of natural number…