arXiv Analytics

Sign in

arXiv:math/0205101 [math.PR]AbstractReferencesReviewsResources

Brownian Bridge and Self-Avoiding Random Walk

Yevgeniy Kovchegov

Published 2002-05-09Version 1

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.

Related articles:
arXiv:math/0112272 [math.PR] (Published 2001-12-24, updated 2002-05-14)
Brownian Bridge Asymptotics for the Subcritical Bernoulli Bond Percolation
arXiv:1004.4262 [math.PR] (Published 2010-04-24)
Diffusive limit for the myopic (or "true") self-avoiding random walk in three and more dimension
arXiv:0909.3863 [math.PR] (Published 2009-09-21, updated 2010-09-21)
Continuous time `true' self-avoiding random walk on Z