MULTIPLE INTERSECTION LOCAL TIMES IN TERMS OF WHITE NOISE

Author:

MENDONÇA SANDRA1,STREIT LUDWIG1

Affiliation:

1. Universidade da Madeira, P 9000-081 Funchal, Portugal

Abstract

We show how multiple intersections of Brownian motion can be expressed in terms of generalized white noise functionals. We also calculate the kernels of their chaos expansions and discuss their L2 properties.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Derivative of Multiple Self-intersection Local Time for Fractional Brownian Motion;Journal of Theoretical Probability;2023-05-24

2. The spans in Brownian motion;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2017-08-01

3. Chaos Decomposition and Gap Renormalization of Brownian Self-Intersection Local Times;Reports on Mathematical Physics;2016-04

4. Fractional Brownian motion and polymers: Learning from each other;International Journal of Modern Physics: Conference Series;2015-01

5. RENORMALISATION DU TEMPS LOCAL DES POINTS TRIPLES DU MOUVEMENT BROWNIEN;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2006-12

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