61 citations · 84 across the 20 of their papers we have counts for
4 papers · 1 filter
A sharp analysis of the mixing time for random walk on rooted trees
Jason Fulman
We define an analog of Plancherel measure for the set of rooted unlabeled trees on n vertices, and a Markov chain which has this measure as its stationary distribution. Using the c…
On adding a list of numbers (and other one-dependent determinantal processes)
Alexei Borodin, Persi Diaconis, Jason Fulman
Adding a column of numbers produces "carries" along the way. We show that random digits produce a pattern of carries with a neat probabilistic description: the carries form a one-d…
Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with Applications to Derangements
Jason Fulman, Robert Guralnick
We present explicit upper bounds for the number and size of conjugacy classes in finite Chevalley groups and their variations. These results have been used by many authors to study…
Carries, shuffling, and symmetric functions
Persi Diaconis, Jason Fulman
The "carries" when n random numbers are added base b form a Markov chain with an "amazing" transition matrix determined by Holte. This same Markov chain occurs in following the num…