Ergodic theory of the symmetric inclusion process
classification
🧮 math.PR
math-phmath.MP
keywords
ergodicinclusionmeasureprocesssymmetriccharacterizeconditionsconsequence
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We prove the existence of a successful coupling for $n$ particles in the symmetric inclusion process. As a consequence we characterize the ergodic measures with finite moments, and obtain sufficient conditions for a measure to converge in the course of time to an invariant product measure.
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