Self-avoiding walk in 5 or more dimensions
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Publication:1063958
DOI10.1007/BF01206182zbMath0575.60099OpenAlexW2082111184MaRDI QIDQ1063958
Thomas Spencer, David C. Brydges
Publication date: 1985
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01206182
renormalization groupcentral limit theoremcubic latticestatistical mechanicsDomb-Joyce modelhigh temperature expansion
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)
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II: The lace expansion and the triangle condition, Loop-erased random walk on a torus in dimensions 4 and above, A note on mean-field behavior for self-avoiding walk on branching planes., Random surface correlation functions, Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis, Loop-weighted walk, Critical two-point function of the 4-dimensional weakly self-avoiding walk, Self-avoiding walks
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