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Bob Hough
Institute for Advanced Study, Princeton
Thu 11 Feb 2016, 3:30pm
Discrete Math Seminar
MATH 126
Random walk on unipotent groups
MATH 126
Thu 11 Feb 2016, 3:30pm-4:30pm


Random walk on a group is an established but still-growing field.  I discuss aspects of recent work, alone and joint with Persi Diaconis, on random walks on unipotent groups.  Among our results, we have a new local limit theorem for random walk on the Heisenberg group, which applies to arbitrary centered measures of compact support and obtains an optimal rate. There is also a mixing time bound of degree times diameter squared for the mixing time of random walk on some Cayley graphs of cyclic groups.