2011/11/09 by Anne-Laure Basdevant, Basdevant, Anne-Laure, Nathanaël Enriquez +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR
paper · pdf · doi:10.48550/arxiv.1111.2302
15 pages
openalex publication_date 2011/11/09 · arxiv created 2012/10/01 · arxiv updated 2012/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
On the supercritical percolation cluster with parameter p, the distances between two distant points of the axis are asymptotically increased by a factor 1+(1-p)/2+o(1-p) with respect to the usual distance. The proof is based on an apparently new connection with the TASEP (totally asymmetric simple exclusion process).