Geodesic
Uniform in dimension estimations of the scatter of distributions of Gaussian random functionals for some classes of multivariate measures
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 194-199

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Uniform in dimension estimations of the scatter of distributions of linear functionals chosen at random with respect to Gaussian distribution are established for uniform discrete distributions and for Gaussian distributions on a vector space. 
@article{ZNSL_2002_294_a13,
     author = {V. N. Sudakov},
     title = {Uniform in dimension estimations of the scatter of distributions of {Gaussian} random functionals for some classes of multivariate measures},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {194--199},
     publisher = {mathdoc},
     volume = {294},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a13/}
}
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V. N. Sudakov. Uniform in dimension estimations of the scatter of distributions of Gaussian random functionals for some classes of multivariate measures. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 194-199. http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a13/