Paths with exponential intersection tails and oriented percolation

Itai Benjamini; Robin Pemantle; Yuval Peres

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Paths with exponential intersection tails and oriented percolation

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arxiv math/9701227 v1 pith:QQH6D3RM submitted 1997-01-23 math.PR

Itai Benjamini , Robin Pemantle , Yuval Peres This is my paper · ORCID

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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