Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walks on free products of cyclic groups   Let G be a free product of a finite family of finite groups, with the set of
generators being formed by the union of the finite groups. We consider a
transient nearest-neighbour random walk on G. We give a new proof of the fact
that the harmonic measure is a special Markovian measure entirely determined by
a finite set of polynomial equations. We show that in several simple cases of
interest, the polynomial equations can be explicitely solved, to get closed
form formulas for the drift. The examples considered are the modular group
Z/2Z*Z/3Z, Z/3Z*Z/3Z, Z/kZ*Z/kZ, and the Hecke groups Z/2Z*Z/kZ. We also use
these various examples to study Vershik's notion of extremal generators, which
is based on the relation between the drift, the entropy, and the volume of the
group.

30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess