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Loop-erased self-avoiding random walk in two and three dimensions.

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Publication:1963619
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DOI10.1007/BF01022989zbMath1084.82565OpenAlexW1990329163MaRDI QIDQ1963619

Gregory F. Lawler

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01022989

zbMATH Keywords

polymer modelsLaplacian random walkSelf-avoiding random walkloop-erased walkFlory exponents


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)


Related Items

Field theory conjecture for loop-erased random walks



Cites Work

  • Unnamed Item
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  • Self-avoiding walk in 5 or more dimensions
  • Gaussian behavior of loop-erased self-avoiding random walk in four dimensions
  • A self-avoiding random walk
  • Ratio theorems for random walks. I
  • A connective constant for loop-erased self-avoiding random walk
  • Low-density expansion for a two-state random walk in a random environment
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