Paths with exponential intersection tails and oriented percolation
classification
🧮 math.PR
keywords
pathsconditionexponentialintersectionorientedpercolationtailscalled
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We show that oriented percolation occurs whenever a condition is satisfied called "exponential intersection tails". This condition says that a measure on paths exists for which the probability of two independent paths intersecting in more than k sites is exponentially small in k.
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