Hydrodynamic limit for a zero-range process in the Sierpinski gasket

Milton D. Jara (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We prove that the hydrodynamic limit of a zero-range process evolving in graphs approximating the Sierpinski gasket is given by a nonlinear heat equation. We also prove existence and uniqueness of the hydrodynamic equation by considering a finite-difference scheme.

Mots clés: zero-range; Sierpinski gasket; nonlinear heat equation

Domaines: Probabilités [math.PR]

Milton D. Jara. Hydrodynamic limit for a zero-range process in the Sierpinski gasket. Communications in Mathematical Physics, 2009, 288 (2), pp.773--797. ⟨10.1007/s00220-009-0746-z⟩. ⟨hal-00453675⟩