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math.PR2017
Lattice model for Fast Diffusion Equation
Freddy Hernández, Milton Jara, Fábio J. Valentim
We obtain a fast diffusion equation (FDE) as scaling limit of a sequence of zero-range process with symmetric unit rate. Fast diffusion effect comes from the fact that the diffusio…
math.PR2017
Reaction-Diffusion models: From Particle Systems to SDE's
Bernardo Freitas Paulo da Costa, Conrado Costa, Milton Jara
In this article we present a construction of a family particle systems that converge after scaling to the solution a non-linear SDE of Reaction-Diffusion type.