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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…