Dynamics of Triangulations

Details Dynamics of Triangulations Dynamics of Triangulations

2004-12-23

arxiv.org/abs/math-ph/0412085v1

Physics

Mathematical Physics

Scientific paper

10.1007/s10955-005-6985-2

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 $d^{-4}$.

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