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

Jara, Milton, Hydrodynamic limit for a zero-range process in the Sierpinski gasket, Communications in Mathematical Physics;0010-3616, 288, 2, p. 773–797. 10.1007/s00220-009-0746-z

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Article accepté pour publication ou publié
Journal name
Communications in Mathematical Physics;0010-3616
Volume
288
Number
2
Publisher
Springer
Pages
773–797
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Author(s)
Jara, Milton
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
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.
Subjects / Keywords
Hydrodynamic Equation; Invariant Measure; Green Function; Harmonic Function; Weak Solution