- 98-111 De Faria M., Drumond C., Streit L.
- The Renormalization of Self Intersection Local Times I: The Chaos Expansion
Mar 2, 98
(auto. generated ps),
of related papers
Abstract. The self intersection local time of d-dimensional Brownian motion
requires a regularization for d>=3. We can then expand
it in terms of Wick ordered products of white noise. In this note we show
that. after a multiplicative renormalization, each term of this expansion
convergees in law to a Brownian motion when the regularization is removed.