Dynamics of Triangulations |
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| Authors: | P Collet J -P Eckmann |
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| Institution: | (1) Centre de Physique Théorique, CNRS UMR 7644, Ecole Polytechnique, F-91128 Cedex, Palaiseau, France;(2) Département de Physique Théorique, Université de Genève, Switzerland;(3) Section de Mathématiques, Université de Genève, Switzerland |
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| 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 d
−4. |
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| Keywords: | Ergodicity detailed balance power laws |
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