Hydrodynamic Limit for a Zero-Range Process in the Sierpinski Gasket |
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Authors: | Milton Jara |
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Affiliation: | (1) FYMA, Université Catholique de Louvain, chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium |
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Abstract: | We consider a system of random walks on graph approximations of the Sierpinski gasket, coupled with a zero-range interaction. We prove that the hydrodynamic limit of this system is given by a nonlinear heat equation on the Sierpinski gasket. |
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