Catalan percolation

2024/04/30 by Archer, Eleanor, Hartarsky, Ivailo, Kolesnik, Brett +3 · 1 citation
#05A15 (Secondary) #60K35 (Primary) 82B43 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2404.19583

Abstract

In Catalan percolation, all nearest-neighbor edges \i,i+1\ along \mathbb Z are initially occupied, and all other edges are open independently with probability p. Open edges \i,j\ are occupied if some pair of edges \i,k\ and \k,j\, with i

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