Attractive polymer models for two- and three-dimensional Brownian motion

Robert J. Adler and Srikanth K. Iyer

Stochastic Processes and their Applications, 1997, vol. 66, issue 2, 271-281

Abstract: We show the existence of a weakly self-attractive Brownian motion in dimensions two and three. In other words, we show the existence of a "polymer measure" that is formally defined by P(d[Omega]) = L-1 exp {[lambda][integral operator][integral operator]0 [less-than-or-equals, slant] s

Keywords: Polymers; Brownian; motion; Attraction (search for similar items in EconPapers)
Date: 1997
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