A new approach to the long-time behavior of self-avoiding random walks

DOI10.1016/0003-4916(92)90341-IzbMath0875.60014OpenAlexW2145295127WikidataQ59482420 ScholiaQ59482420MaRDI QIDQ1816192

John Z. Imbrie, Steven E. Golowich

Publication date: 28 January 1997

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

Full work available at URL: https://doi.org/10.1016/0003-4916(92)90341-i

zbMATH Keywords

polymer expansionweakly self-avoiding random 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)

Related Items (2)

Weakly self-avoiding walk on a high-dimensional torus ⋮ The lace expansion on a tree with application to networks of self-avoiding walks

Cites Work

• The infinite self-avoiding walk in high dimensions
• Mean-field critical behaviour for percolation in high dimensions
• Self-avoiding walk in 5 or more dimensions
• The diffusion of self-avoiding random walk in high dimensions
• The scaling limit of self-avoiding random walk in high dimensions
• Mean-field critical behaviour for correlation length for percolation in high dimensions
• On the upper critical dimension of lattice trees and lattice animals
• Critical behaviour of self-avoiding walk in five or more dimensions
• Convergence of self-avoiding random walk to Brownian motion in high dimensions

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