We prove that any Brownian moving average
¶
Xt=∫−∞t (f(s−t)−f(s)) dBs, t≥0,
¶
satisfies the conditional full support condition introduced by Guasoni, Rásonyi and Schachermayer [Ann. Appl. Probab. 18 (2008) 491–520].
Publié le : 2008-10-15
Classification:
Brownian moving average,
conditional full support,
Titchmarsh convolution theorem,
91B28,
60G15
@article{1225372951,
author = {Cherny, Alexander},
title = {Brownian moving averages have conditional full support},
journal = {Ann. Appl. Probab.},
volume = {18},
number = {1},
year = {2008},
pages = { 1825-1830},
language = {en},
url = {http://dml.mathdoc.fr/item/1225372951}
}
Cherny, Alexander. Brownian moving averages have conditional full support. Ann. Appl. Probab., Tome 18 (2008) no. 1, pp. 1825-1830. http://gdmltest.u-ga.fr/item/1225372951/