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math.PR2015
An Exercise (?) in Fourier Analysis on the Heisenberg Group
Daniel Bump, Persi Diaconis, Angela Hicks +2
Let H(n) be the group of 3x3 uni-uppertriangular matrices with entries in Z/nZ, the integers mod n. We show that the simple random walk converges to the uniform distribution in ord…
math.PR2012
On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Nicolas Champagnat, Persi Diaconis, Laurent Miclo
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sen…
math.PR2010
On barycentric subdivision, with simulations
Persi Diaconis, Laurent Miclo
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives r…