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math-ph2015★ 6 cited
Chaos Decomposition and Gap Renormalization of Brownian Self-Intersection Local Times
Jinky Bornales, Maria João Oliveira, Ludwig Streit
We study the chaos decomposition of self-intersection local times and their regularization, with a particular view towards Varadhan's renormalization for the planar Edwards model.
physics.comp-ph2015★ 7 cited
Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension
Wolfgang Bock, Jinky Bornales, Cresente Cabahug +2
We use an off-lattice discretization of fractional Brownian motion and a Metropolis Algorithm to determine the asymptotic scaling of this discretized fractional Brownian motion und…