Hydrodynamic Limit for a Zero-Range Process in the Sierpinski Gasket

Jara, Milton
(2009) Communications in Mathematical Physics — Vol. 288, n° 2, p. 773-797 (2009)

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  • Jara, Milton
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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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Jara, M. (2009). Hydrodynamic Limit for a Zero-Range Process in the Sierpinski Gasket. Communications in Mathematical Physics, 288(2), 773-797. https://doi.org/10.1007/s00220-009-0746-z (Original work published 2009)