Brownian Bridge and Self-Avoiding Random Walk

2002/05/09 by Yevgeniy Kovchegov, Kovchegov, Yevgeniy
Biochemistry, Genetics and Molecular Biology · Mathematics · #60K05 #60K35 #82B41 #82B43 #Diffusion and Search Dynamics #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.math/0205101

openalex publication_date 2002/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the Brownian bridge asymptotics for a scaled self-avoiding walk conditioned on arriving to a far away point n a for a in Z^d, as n increases to infinity.

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