A note on mean-field behavior for self-avoiding walk on branching planes.

DOI10.1007/BF02179252zbMath1081.82562OpenAlexW1984500225MaRDI QIDQ1593323

C. Chris Wu

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02179252

zbMATH Keywords

critical exponentsself-avoiding walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Cites Work

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• Mean-field critical behaviour for percolation in high dimensions
• Self-avoiding walk in 5 or more dimensions
• Self-avoiding walk in five or more dimensions. I: The critical behaviour
• The number and size of branched polymers in high dimensions
• Triangle condition for oriented percolation in high dimensions
• Markov fields on branching planes
• New lower bounds on the self-avoiding-walk connective constant
• On the upper critical dimension of lattice trees and lattice animals

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