Symmetric random walks on certain amalgamated free product groups

Details Symmetric random walks on certain amalgamated free product groups Symmetric random walks on certain amalgamated free product groups

2004-09-30

arxiv.org/abs/math/0409595v2

Mathematics

Probability

13 pages. (In this revised version, a section was excised because it reproved known results.)

Scientific paper

We consider nearest-neighbor random walks on free products of finitely many
copies of the integers with amalgamation over nontrivial subgroups. When all
the subgroups have index two, we find the Green function of the random walks in
terms of complete elliptic integrals. Our technique is to apply Voiculescu's
operator--valued R--transform.

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