The directed edge reinforced random walk: the Ant Mill phenomenon

DOI10.1007/S10955-022-03031-0OpenAlexW2986695794MaRDI QIDQ2107260

Dirk Erhard, Tertuliano Franco, Guilherme Reis

Publication date: 1 December 2022

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07295

zbMATH Keywords

random walk on graphsreinforced random walkdirected edgesant random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Cites Work

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• Directionally reinforced random walks
• Attracting edge and strongly edge reinforced walks
• Ant colony optimization theory: a survey
• Strongly Vertex-Reinforced-Random-Walk on the complete graph
• Reinforced random walk

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