Chaos Decomposition and Gap Renormalization of Brownian Self-Intersection Local Times

Abstract

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.

16 pages

References in corpus (2)

• Renormalized self-intersection local time for fractional Brownian motion
• Polymer Measure: Varadhan's Renormalization Revisited

Cited by in corpus (3)

• Existence, renormalization, and regularity properties of higher order derivatives of self-intersection local time of fractional Brownian motion
• The spans in Brownian motion
• Brownian and fractional polymers with self-repulsion