Phase transition for the vacant set left by random walk on the giant component of a random graph

DOI10.1214/13-AIHP596zbMath1312.05126arXiv1308.2548OpenAlexW2963087671MaRDI QIDQ2346194

Tobias Wassmer

Publication date: 29 May 2015

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2548

zbMATH Keywords

phase transitionrandom walkrandom interlacementsvacant setgiant componentErdős-Rényi random graph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Random walks on graphs (05C81)

Related Items (2)

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Cites Work

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• On the fragmentation of a torus by random walk
• Component structure of the vacant set induced by a random walk on a random graph

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