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`True' self-avoiding walks with generalized bond repulsion on \(\mathbb{Z}\)

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Publication:1906398
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DOI10.1007/BF02186830zbMath0838.60065OpenAlexW2016784956MaRDI QIDQ1906398

Bálint Tóth

Publication date: 19 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf02186830


zbMATH Keywords

limit theoremsanomalous diffusionself-repulsive random walk


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Statistical mechanics of polymers (82D60)


Related Items

The range of once‐reinforced random walk in one dimension ⋮ Convergence and nonconvergence of scaled self-interacting random walks to Brownian motion perturbed at extrema ⋮ Weak limits of perturbed random walks and the equation \(Y_ t = B_ t+\alpha\sup\{Y_ s:s \leq t\} + \beta\inf\{Y_ s:s\leq t\}\) ⋮ Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema



Cites Work

  • Generalized Ray-Knight theory and limit theorems for self-interacting random walks on \(\mathbb{Z}^ 1\)
  • Weak convergence of probability measures and random functions in the function space D[0,∞)
  • Random Walks and A Sojourn Density Process of Brownian Motion
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