Open Access
January, 1991 Tanaka Formulae and Renormalization for Triple Intersections of Brownian Motion in the Plane
Jay Rosen, Marc Yor
Ann. Probab. 19(1): 142-159 (January, 1991). DOI: 10.1214/aop/1176990538

Abstract

We develop explicit stochastic integral representations for the renormalized triple intersection local time of planar Brownian motion. Our representations involve a new type of double stochastic integral, the bilateral stochastic integral, which is developed in detail.

Citation

Download Citation

Jay Rosen. Marc Yor. "Tanaka Formulae and Renormalization for Triple Intersections of Brownian Motion in the Plane." Ann. Probab. 19 (1) 142 - 159, January, 1991. https://doi.org/10.1214/aop/1176990538

Information

Published: January, 1991
First available in Project Euclid: 19 April 2007

zbMATH: 0719.60084
MathSciNet: MR1085330
Digital Object Identifier: 10.1214/aop/1176990538

Subjects:
Primary: 60J65
Secondary: 60H05 , 60J55

Keywords: Brownian motion , Local time , stochastic integrals , triple intersections

Rights: Copyright © 1991 Institute of Mathematical Statistics

Vol.19 • No. 1 • January, 1991
Back to Top