An asymptotic result for Brownian polymers
Mountford, Thomas · Tarrès, Pierre
Original · EN
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 Xₜ (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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