Dimension Results for Gaussian Vector Fields and Index-$\alpha$ Stable Fields
Xiao, Yimin
Ann. Probab., Tome 23 (1995) no. 3, p. 273-291 / Harvested from Project Euclid
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The Hausdorff dimension and packing dimension of the image and graph of Gaussian vector fields and index-$\alpha$ stable fields are obtained under general conditions which allow for different local behavior of the components and for dependence among them. These results correct some error in print. The condition for an indexed-$\alpha$ stable field to have $k$-multiple points are considered and in the case of $Nk > (k - 1)\sum^d_{j=1} \alpha_j$, the Hausdorff dimension of the set of $k$-multiple times is given.
Publié le : 1995-01-14
Classification:  Gaussian vector fields,  stable fields,  Hausdorff dimension,  packing dimension,  image,  multiple points,  60G15,  60G17,  60G60 
@article{1176988387,
     author = {Xiao, Yimin},
     title = {Dimension Results for Gaussian Vector Fields and Index-$\alpha$ Stable Fields},
     journal = {Ann. Probab.},
     volume = {23},
     number = {3},
     year = {1995},
     pages = { 273-291},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176988387}
}

Xiao, Yimin. Dimension Results for Gaussian Vector Fields and Index-$\alpha$ Stable Fields. Ann. Probab., Tome 23 (1995) no. 3, pp.  273-291. http://gdmltest.u-ga.fr/item/1176988387/