Kalikow-type decomposition for multicolor infinite range particle systems

Details Kalikow-type decomposition for multicolor infinite range particle systems Kalikow-type decomposition for multicolor infinite range particle systems

2010-08-16

arxiv.org/abs/1008.2740v2

Mathematics

Probability

New version deals with real state space of spins. Examples added

Scientific paper

We consider a particle system on $\Z^d$ with real state space and interactions of infinite range. Assuming that the rate of change is continuous we obtain a Kalikow-type decomposition of the infinite range change rates as a mixture of finite range change rates. Furthermore, if a high noise condition holds, as an application of this decomposition, we design a feasible perfect simulation algorithm to sample from the stationary process. Finally, the perfect simulation scheme allows to forge an algorithm to obtain an explicit construction of a coupling attaining Ornstein's $\bar d-$distance for two ordered Ising probability measures.

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