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math.PR2016
Probabilizing Parking Functions
Persi Diaconis, Angela Hicks
We explore the link between combinatorics and probability generated by the question "What does a random parking function look like?" This gives rise to novel probabilistic interpre…
math.PR2015
Useful bounds on the extreme eigenvalues and vectors of matrices for Harper's operators
Daniel Bump, Persi Diaconis, Angela Hicks +2
In analyzing a simple random walk on the Heisenberg group we encounter the problem of bounding the extreme eigenvalues of an matrix of the form where is a c…
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…