## Processus des misanthropes.(French)Zbl 0554.60097

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

### MSC:

 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60B10 Convergence of probability measures
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### References:

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