The strong law of large numbers for a Brownian polymer

M. Cranston; T. S. Mountford

doi:10.1214/aop/1065725183

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Home > Journals > Ann. Probab. > Volume 24 > Issue 3 > Article

July 1996 The strong law of large numbers for a Brownian polymer

M. Cranston, T. S. Mountford

Ann. Probab. 24(3): 1300-1323 (July 1996). DOI: 10.1214/aop/1065725183

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Abstract

We prove the strong law of large numbers for a continuous-time version of reinforced random walk. This extends previous results of Durrett and Rogers.

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M. Cranston. T. S. Mountford. "The strong law of large numbers for a Brownian polymer." Ann. Probab. 24 (3) 1300 - 1323, July 1996. https://doi.org/10.1214/aop/1065725183

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Published: July 1996

First available in Project Euclid: 9 October 2003

zbMATH: 0873.60014

MathSciNet: MR1411496

Digital Object Identifier: 10.1214/aop/1065725183

Subjects:

Primary: 60F15 , 60H05

Keywords: Brownian motion , coupling , self-avoiding process

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Ann. Probab.

Vol.24 • No. 3 • July 1996

Institute of Mathematical Statistics

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M. Cranston, T. S. Mountford "The strong law of large numbers for a Brownian polymer," The Annals of Probability, Ann. Probab. 24(3), 1300-1323, (July 1996)

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