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A local CLT for convolution equations with an application to weakly self-avoiding random walks

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Publication:272948
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DOI10.1214/14-AOP971zbMath1343.60009arXiv1301.6071OpenAlexW2963033949MaRDI QIDQ272948

Christine Ritzmann, Luca Avena, Erwin Bolthausen

Publication date: 21 April 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6071


zbMATH Keywords

convolution equationscentral limit theoremweakly self-avoiding random walks


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)


Related Items

Lace expansion for dummies ⋮ Weakly self-avoiding walk on a high-dimensional torus ⋮ A simple convergence proof for the lace expansion



Cites Work

  • Self-avoiding walk in 5 or more dimensions
  • A new inductive approach to the lace expansion for self-avoiding walks
  • A generalised inductive approach to the lace expansion
  • The lace expansion and its application. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004.
  • Lectures on Self-Avoiding Walks
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