Another view on the local time of self-intersections for a function of the Wiener process
Teoriâ slučajnyh processov, Tome 15 (2009) no. 2, pp. 119-125
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The article is devoted to the local time of self-intersections for the process $F(w),$ where $F: {\mathbb R}^2\to{\mathbb R}^2$ is smooth function, and $w$ is the standard planar Brownian motion. We present the local time of self-intersections for the process $F(w)$ in terms of a manifold.
Keywords:
Local time, local time of self-intersections, renormalization of local time.
@article{THSP_2009_15_2_a7,
author = {O. Izyumtseva},
title = {Another view on the local time of self-intersections for a function of the {Wiener} process},
journal = {Teori\^a slu\v{c}ajnyh processov},
pages = {119--125},
publisher = {mathdoc},
volume = {15},
number = {2},
year = {2009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/THSP_2009_15_2_a7/}
}
TY - JOUR AU - O. Izyumtseva TI - Another view on the local time of self-intersections for a function of the Wiener process JO - Teoriâ slučajnyh processov PY - 2009 SP - 119 EP - 125 VL - 15 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/THSP_2009_15_2_a7/ LA - en ID - THSP_2009_15_2_a7 ER -
O. Izyumtseva. Another view on the local time of self-intersections for a function of the Wiener process. Teoriâ slučajnyh processov, Tome 15 (2009) no. 2, pp. 119-125. http://geodesic.mathdoc.fr/item/THSP_2009_15_2_a7/