Attractive polymer models for two- and three-dimensional Brownian motion
Adler, Robert, Srikanth K. Iyer · Carolina Digital Repository (University of North Carolina at Chapel Hill) · 2021
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