1997/01/23 by Itaï Benjamini, Benjamini, Itai, Robin Pemantle +3 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.math/9701227
openalex publication_date 1997/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.