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Probability Theory and Related Fields

, Volume 92, Issue 3, pp 337–349 | Cite as

Asymptotic behavior of Brownian polymers

  • R. T. Durrett
  • L. C. G. Rogers
Article

Summary

We consider a system that models the shape of a growing polymer. Our basic problem concerns the asymptotic behavior ofX t , the location of the end of the polymer at timet. We obtain bounds onX t in the (physically uninteresting) case thatd=1 and the interaction functionf(x)≥0. If, in addition,f(x) behaves for largex likeCx−β with β<1 we obtain a strong law that gives the exact growth rate.

Keywords

Polymer Growth Rate Stochastic Process Asymptotic Behavior Probability Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • R. T. Durrett
    • 1
  • L. C. G. Rogers
    • 2
  1. 1.Mathematics DepartmentCornell UniversityIthacaUSA
  2. 2.Queen Mary and Westfied CollegeSchool of Mathematical SciencesLondonUK

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