Math @ Duke

Publications [#243462] of Richard T. Durrett
Papers Published
 Durrett, RT; Rogers, LCG, Asymptotic behavior of Brownian polymers,
Probability Theory and Related Fields, vol. 92 no. 3
(1992),
pp. 337349, ISSN 01788051 [doi]
(last updated on 2018/03/21)
Abstract: 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 Cxβ with β<1 we obtain a strong law that gives the exact growth rate. © 1992 SpringerVerlag.


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