First passage percolation on nilpotent Cayley graphs and beyond

DOI10.1214/EJP.V20-3940zbMath1328.60207arXiv1410.3292MaRDI QIDQ894157

Romain Tessera, Itai Benjamini

Publication date: 27 November 2015

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3292

zbMATH Keywords

Cayley graphsnilpotent groupsasymptotic conefirst-passage percolationinvariant random metric

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Unitary representations of locally compact groups (22D10) Extensions, wreath products, and other compositions of groups (20E22) Asymptotic properties of groups (20F69) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (4)

Speed of convergence in first passage percolation and geodesicity of the average distance ⋮ Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups ⋮ Topology and local geometry of the Eden model ⋮ The asymptotic shape theorem for the frog model on finitely generated abelian groups

This page was built for publication: First passage percolation on nilpotent Cayley graphs and beyond