Chemical distance for the half-orthant model

2024/01/08 by Nicholas R. Beaton, Beaton, Nicholas, Mark Holmes +3
Mathematics · #60K35 #FOS: Mathematics #Geometry and complex manifolds #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2401.03647

openalex publication_date 2024/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The half-orthant model is a partially oriented model of a random medium involving a parameter p∈ [0,1], for which there is a critical value p_c(d) (depending on the dimension d) below which every point is reachable from the origin. We prove a limit theorem for the graph-distance (or "chemical distance") for this model when p

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