Random Walks on Groups and Monoids with a Markovian Harmonic Measure

@inproceedings{JeanRandomWO,
  title={Random Walks on Groups and Monoids with a Markovian Harmonic Measure},
  author={Jean and LIAFA}
}
We consider a transient nearest neighbor random walk on a group G with finite set of generators Σ. The pair (G, Σ) is assumed to admit a natural notion of normal form words where only the last letter is modified by multiplication by a generator. The basic examples are the free products of a finitely generated free group and a finite family of finite groups, with natural generators. We prove that the harmonic measure is Markovian of a particular type. The transition matrix is entirely determined… CONTINUE READING
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