Uniform Dimension Results for the Brownian Sheet
Mountford, T. S.
Ann. Probab., Tome 17 (1989) no. 4, p. 1454-1462 / Harvested from Project Euclid
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We show that if $2N \leq d$, then with probability 1 the Brownian sheet $W: R^N_+ \rightarrow R^d$ satisfies $\forall$ Borel set $E, \dim W(E) = 2 \dim E$.
Publié le : 1989-10-14
Classification:  Brownian sheet,  Hausdorff dimension,  60G15,  60G17,  60J30 
@article{1176991165,
     author = {Mountford, T. S.},
     title = {Uniform Dimension Results for the Brownian Sheet},
     journal = {Ann. Probab.},
     volume = {17},
     number = {4},
     year = {1989},
     pages = { 1454-1462},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176991165}
}

Mountford, T. S. Uniform Dimension Results for the Brownian Sheet. Ann. Probab., Tome 17 (1989) no. 4, pp.  1454-1462. http://gdmltest.u-ga.fr/item/1176991165/