Entropy of geometric structures

Details Entropy of geometric structures Entropy of geometric structures

2011-09-24

arxiv.org/abs/1109.5249v1

Mathematics

Differential Geometry

The results of this paper were announced in a talk last year in IMPA, Rio (Poisson 2010)

Scientific paper

We give a notion of entropy for general gemetric structures, which generalizes well-known notions of topological entropy of vector fields and geometric entropy of foliations, and which can also be applied to singular objects, e.g. singular foliations, singular distributions, and Poisson structures. We show some basic properties for this entropy, including the \emph{additivity property}, analogous to the additivity of Clausius--Boltzmann entropy in physics. In the case of Poisson structures, entropy is a new invariant of dynamical nature, which is related to the transverse structure of the characteristic foliation by symplectic leaves.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602470