Speed exponents of random walks on groups

Details Speed exponents of random walks on groups Speed exponents of random walks on groups

2012-03-28

arxiv.org/abs/1203.6226v2

Mathematics

Probability

28 pages

Scientific paper

For every 3/4 <= beta < 1 we construct a finitely generated group so that the
expected distance of the simple random walk from its starting point is within a
constant factor of n^beta. In fact, the speed can be set precisely to equal any
nice prescribed function up to a constant factor.

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