Dynamics of Triangulations
Mathematical Physics
2009-11-10 v1 Statistical Mechanics
math.MP
Abstract
We study a few problems related to Markov processes of flipping triangulations of the sphere. We show that these processes are ergodic and mixing, but find a natural example which does not satisfy detailed balance. In this example, the expected distribution of the degrees of the nodes seems to follow the power law .
Cite
@article{arxiv.math-ph/0412085,
title = {Dynamics of Triangulations},
author = {Pierre Collet and Jean-Pierre Eckmann},
journal= {arXiv preprint arXiv:math-ph/0412085},
year = {2009}
}