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

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0805.0380.pdf (254.2Kb)
Dewey
Probabilités et mathématiques appliquées
Sujet
Hydrodynamic Equation; Invariant Measure; Green Function; Harmonic Function; Weak Solution
Journal issue
Communications in Mathematical Physics;0010-3616
Volume
288
Number
2
Publication date
06-2009
Article pages
773–797
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00220-009-0746-z
URI
https://basepub.dauphine.fr/handle/123456789/17456
Collections
  • CEREMADE : Publications
Metadata
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Author
Jara, Milton
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
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.

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