Paths with exponential intersection tails and oriented percolation

Details Paths with exponential intersection tails and oriented percolation Paths with exponential intersection tails and oriented percolation

1997-01-23

arxiv.org/abs/math/9701227v1

Mathematics

Probability

Scientific paper

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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