Processus des misanthropes

  • Christiane Cocozza-Thivent


We consider a system of identical interacting particles moving on the lattice ℤ d . The rate at which a particle at the site x jumps to the site y is p(y−x)b(η(x), η(y)) where p is an irreducible probability on ℤ d and b(η(x), η(y)) is an increasing (resp. decreasing) function of the number η(x) (resp. η(y)) of particles at site x (resp. y). We study the convergence of the system to equilibrium and describe the invariant measures.


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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Christiane Cocozza-Thivent
    • 1
  1. 1.Laboratoire de Probabilités - Tour 56Université Paris VIParis Cedex 05France

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