Betti numbers of random manifolds

Details Betti numbers of random manifolds Betti numbers of random manifolds

2007-03-30

arxiv.org/abs/math/0703929v1

Mathematics

Algebraic Topology

Scientific paper

We study mathematical expectations of Betti numbers of configuration spaces of planar linkages, viewing the lengths of the bars of the linkage as random variables. Our main result gives an explicit asymptotic formulae for these mathematical expectations for two distinct probability measures describing the statistics of the length vectors when the number of links tends to infinity. In the proof we use a combination of geometric and analytic tools. The average Betti numbers are expressed in terms of volumes of intersections of a simplex with certain half-spaces.

Affiliated with

Also associated with

No associations

Rating

Betti numbers of random manifolds 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 Betti numbers of random manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Betti numbers of random manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651041