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On distances between distributions of polynomials

Georgii I. Zelenov

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia

Abstract: We estimate total variation distances between distributions of polynomials via $L^2$-norms.

Keywords: Distribution of a polynomial, total variation norm, Gaussian measure, logarithmically concave measure.

MSC: Primary 60E05, 60E015; Secondary 28C20, 60F99

Language: English

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