Two random walks on the open cluster of \(\mathbb Z^{2}\) meet infinitely often

DOI10.1007/s11425-010-4064-xzbMath1216.05147OpenAlexW2002803001MaRDI QIDQ625828

Dayue Chen, Xin Xing Chen

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4064-x

zbMATH Keywords

percolationrandom walkinfinite collision property

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)

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Cites Work

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• A note on the finite collision property of random walks
• Recurrent graphs where two independent random walks collide finitely often
• Random walks on supercritical percolation clusters
• Collisions of random walks
• A Characterization of the Invariant Measures for an Infinite Particle System with Interactions. II

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