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Asymptotic behavior of Brownian polymers

Publication ,  Journal Article
Durrett, RT; Rogers, LCG
Published in: Probability Theory and Related Fields
September 1, 1992
Published version (DOI)

We consider a system that models the shape of a growing polymer. Our basic problem concerns the asymptotic behavior of Xt, the location of the end of the polymer at time t. We obtain bounds on Xt in the (physically uninteresting) case that d=1 and the interaction function f(x)≥0. If, in addition, f(x) behaves for large x like Cx-β with β<1 we obtain a strong law that gives the exact growth rate. © 1992 Springer-Verlag.

Duke Scholars

Richard Timothy Durrett
Author Richard Timothy Durrett Mathematics

Published In

Probability Theory and Related Fields

DOI

10.1007/BF01300560

EISSN

1432-2064

ISSN

0178-8051

Publication Date

September 1, 1992

Volume

92

Issue

3

Start / End Page

337 / 349

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4904 Pure mathematics
  • 0104 Statistics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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Durrett, R. T., & Rogers, L. C. G. (1992). Asymptotic behavior of Brownian polymers. Probability Theory and Related Fields, 92(3), 337–349. https://doi.org/10.1007/BF01300560
Durrett, R. T., and L. C. G. Rogers. “Asymptotic behavior of Brownian polymers.” Probability Theory and Related Fields 92, no. 3 (September 1, 1992): 337–49. https://doi.org/10.1007/BF01300560.
Durrett RT, Rogers LCG. Asymptotic behavior of Brownian polymers. Probability Theory and Related Fields. 1992 Sep 1;92(3):337–49.
Durrett, R. T., and L. C. G. Rogers. “Asymptotic behavior of Brownian polymers.” Probability Theory and Related Fields, vol. 92, no. 3, Sept. 1992, pp. 337–49. Scopus, doi:10.1007/BF01300560.
Durrett RT, Rogers LCG. Asymptotic behavior of Brownian polymers. Probability Theory and Related Fields. 1992 Sep 1;92(3):337–349.
Journal cover image

Published In

Probability Theory and Related Fields

DOI

10.1007/BF01300560

EISSN

1432-2064

ISSN

0178-8051

Publication Date

September 1, 1992

Volume

92

Issue

3

Start / End Page

337 / 349

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4904 Pure mathematics
  • 0104 Statistics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics