The geometric Kannan--Lov\'asz--Simonovits lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeros of random analytic functions
Algebra i analiz, Tome 14 (2002) no. 2, pp. 214-234.

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     author = {F. Nazarov and M. Sodin and A. Vol'berg},
     title = {The geometric {Kannan--Lov\'asz--Simonovits} lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeros of random analytic functions},
     journal = {Algebra i analiz},
     pages = {214--234},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2002_14_2_a8/}
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F. Nazarov; M. Sodin; A. Vol'berg. The geometric Kannan--Lov\'asz--Simonovits lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeros of random analytic functions. Algebra i analiz, Tome 14 (2002) no. 2, pp. 214-234. http://geodesic.mathdoc.fr/item/AA_2002_14_2_a8/