Benson, Chal

ecu

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Random Walks on Finite Fields and Heisenberg Groups 2011 157071 Let H be a finite group and [mu] a probability measure on H. This data determines an invariant random walk on H beginning from the identity element. The probability distribution for the state of the random walk after n steps is given by the n'th conv...
Fourier Analysis on SU(2) 2013 157071 The set SU(2) of 2x2 unitary matrices with determinant one forms a compact non-abelian Lie group diffeomorphic to the three dimensional sphere. This thesis surveys general theory concerning analysis on compact Lie groups and applies this in the setti...