Gaussian behavior of loop-erased self-avoiding random walk in four dimensions

DOI10.1215/S0012-7094-86-05317-2zbMath0664.60068OpenAlexW1535744619MaRDI QIDQ1115015

Gregory F. Lawler

Publication date: 1986

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-86-05317-2

zbMATH Keywords

weak convergenceBrownian motionself-avoiding walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (8)

The diffusion of self-avoiding random walk in high dimensions ⋮ Four-dimensional loop-erased random walk ⋮ Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure ⋮ Logarithmic corrections to scaling in the four-dimensional uniform spanning tree ⋮ Loop-erased self-avoiding random walk in two and three dimensions. ⋮ Loop-erased random walk on finite graphs and the Rayleigh process ⋮ UNIVERSAL SCALING BEHAVIOR OF NON-EQUILIBRIUM PHASE TRANSITIONS ⋮ Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis

Cites Work

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• Self-avoiding walk in 5 or more dimensions
• Intersections of random walks in four dimensions. II
• A self-avoiding random walk
• The probability of intersection of independent random walks in four dimensions
• A connective constant for loop-erased self-avoiding random walk
• Internal set theory: A new approach to nonstandard analysis

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