5 research outputs found
Kalikov - type decomposition for multicolor infinite range particle systems
We consider a particle system on Zd 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 us to forge an algorithm to obtain an explicit construction of
a coupling attaining Ornstein’s ¯ d-distance for two ordered Ising probability
measures