Brownian Bridge and Self-Avoiding Random Walk

Details Brownian Bridge and Self-Avoiding Random Walk Brownian Bridge and Self-Avoiding Random Walk

2002-05-09

arxiv.org/abs/math/0205101v1

Mathematics

Probability

Scientific paper

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

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