Complexity and heights of tori

Details Complexity and heights of tori Complexity and heights of tori

2011-10-31

arxiv.org/abs/1110.6841v1

Physics

Mathematical Physics

14 pages

Scientific paper

We prove detailed asymptotics for the number of spanning trees, called complexity, for a general class of discrete tori as the parameters tend to infinity. The proof uses in particular certain ideas and techniques from an earlier paper. Our asymptotic formula provides a link between the complexity of these graphs and the height of associated real tori, and allows us to deduce some corollaries on the complexity thanks to certain results from analytic number theory. In this way we obtain a conjectural relationship between complexity and regular sphere packings.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-148073