Dynamics and entropy in local algebra

Details Dynamics and entropy in local algebra Dynamics and entropy in local algebra

2011-09-29

arxiv.org/abs/1109.6438v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

We introduce and study a notion of algebraic entropy for self-maps of finite length of Noetherian local rings, and develop its properties. We show that it shares the standard properties of topological entropy. For finite self-maps we explore the connection between the degree of the map and its algebraic entropy, when the ring is a Cohen-Macaulay domain. As an application of algebraic entropy, we give a characteristic-free interpretation of the definition of Hilbert-Kunz multiplicity.

Affiliated with

Also associated with

No associations

Rating

Dynamics and entropy in local algebra 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 Dynamics and entropy in local algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics and entropy in local algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-151483