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arXiv · 0804.1431

An asymptotic result for Brownian polymers

Thomas Mountford·Pierre Tarrès
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Abstract

We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields 92 (1992) 337--349). We prove their conjecture about the asymptotic behavior of the underlying continuous process $X_t$ (corresponding to the location of the end of the polymer at time $t$) for a particular type of repelling interaction function without compact support.

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Thomas Mountford, Pierre Tarrès. 2008-04-09. An asymptotic result for Brownian polymers. https://doi.org/10.1214/07-aihp113

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