We show an approximation in law of the Brownian sheet by processes constructed from the Poisson process in the plane. This result was inspired by a similar result of Stroock in the one-parameter case.
Publié le : 2000-08-14
Classification:
two-parameter Poisson process,
two-parameter Wiener process,
weak convergence
@article{1081449599,
author = {Bardina, Xavier and Jolis, Maria},
title = {Weak approximation of the Brownian sheet from a Poisson process in the plane},
journal = {Bernoulli},
volume = {6},
number = {6},
year = {2000},
pages = { 653-665},
language = {en},
url = {http://dml.mathdoc.fr/item/1081449599}
}
Bardina, Xavier; Jolis, Maria. Weak approximation of the Brownian sheet from a Poisson process in the plane. Bernoulli, Tome 6 (2000) no. 6, pp. 653-665. http://gdmltest.u-ga.fr/item/1081449599/