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math.GR2002
Multiplicative measures on free groups
Alexandre V. Borovik, Alexei G. Myasnikov, Vladimir N. Remeslennikov
We introduce a family of atomic measures on free groups generated by no-return random walks. These measures are shown to be very convenient for comparing "relative sizes" of subgro…
math.GR2002
Measuring sets in infinite groups
Alexandre V. Borovik, Alexei G. Myasnikov, Vladimir Shpilrain
We are now witnessing a rapid growth of a new part of group theory which has become known as "statistical group theory". A typical result in this area would say something like ``a…