The main statistical characteristics of locally free groups: the growth, the drift and the entropy are considered and relations
between them are established. Our results assert that: (i) the statistical properties of random walks (Markov chains) on locally
free and braid groups are not the same as the uniform statistics on these groups, and (ii) the stabilization of the statistical
characteristics exists when the number of generators of the group grows.
Received: 7 June 1999 / Accepted: 21 April 2000