Coalescing directed random walks on the backbone of a 1 +1-dimensional oriented percolation cluster converge to the Brownian web

zbMath1480.60266arXiv1812.03733MaRDI QIDQ5235490

Sebastian Steiber, Matthias Birkner, Nina Gantert

Publication date: 11 October 2019

Full work available at URL: https://arxiv.org/abs/1812.03733

zbMATH Keywords

coalescing random walksBrownian weboriented percolation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Coalescent processes (60J90)

Related Items (3)

The stepping stone model in a random environment and the effect of local heterogeneities on isolation by distance patterns ⋮ Two directed non-planar random networks and their scaling limits ⋮ Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster

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