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arxiv: math-ph/0412085 · v1 · submitted 2004-12-23 · 🧮 math-ph · cond-mat.stat-mech· math.MP

Dynamics of Triangulations

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords exampleprocessestriangulationsbalancedegreesdetaileddistributiondynamics
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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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