Entropy on abelian groups

Details Entropy on abelian groups Entropy on abelian groups

2010-07-04

arxiv.org/abs/1007.0533v1

Mathematics

Group Theory

26 pages

Scientific paper

We extend to endomorphism of arbitrary abelian groups the definition of the algebraic entropy h given by Peters for automorphisms and we study the properties of h. In particular, we prove the Addition Theorem for h and we obtain a Uniqueness Theorem for h in the category of all abelian groups and their endomorphisms. The third of our main results is the Bridge Theorem connecting the algebraic entropy and the topological entropy by the Pontryagin duality.

Affiliated with

Also associated with

No associations

Rating

Entropy on abelian 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 Entropy on abelian groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy on abelian groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442785