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An iterated random function with Lipschitz number one
Aaron Abrams, Henry Landau, Zeph Landau +2
Consider the set of functions on . Define a Markov process that starts with a point and continues with …
Sums of twisted circulants
Aaron Abrams, Henry Landau, Zeph Landau +1
The rate of convergence of simple random walk on the Heisenberg group over with a standard generating set was determined by Bump et al [1,2]. We extend this result to random…
Dull cut off for circulants
Aaron Abrams, Eric Babson, Henry Landau +2
Families of symmetric simple random walks on Cayley graphs of Abelian groups with a bound on the number of generators are shown to never have sharp cut off in the sense of [1], [3]…
Random Multiplication Approaches Uniform Measure in Finite Groups
Aaron Abrams, Henry Landau, Zeph Landau +2
In order to study how well a finite group might be generated by repeated random multiplications, P. Diaconis suggested the following urn model. An urn contains some balls labeled b…