Multiplicative measures on free groups

Details Multiplicative measures on free groups Multiplicative measures on free groups

2002-04-05

arxiv.org/abs/math/0204070v3

Mathematics

Group Theory

LaTeX, requires amssymb.sty; 31 pp Version 3: more detail in Example 2 and Tauberian theorems

Scientific paper

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 subgroups, context-free and regular subsets (that, subsets generated by finite automata) of free groups. Many asymptotic characteristics of subsets and subgroups are naturally expressed as analytic properties of related generating functions. We introduce an hierarchy of asymptotic behaviour "at infinity" of subsets in the free groups, more sensitive than the traditionally used asymptotic density, and apply it to normal subgroups and regular subsets.

Affiliated with

Also associated with

No associations

Rating

Multiplicative measures on free groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiplicative measures on free groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplicative measures on free groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-553222