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math.AP2020
Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem
Iwona Chlebicka, Piotr Nayar
Studying elliptic measure data problem with strongly nonlinear operator whose growth is described by the means of fully anisotropic -function, we prove the uniqueness for a broa…
math.PR2020
Sharp variance-entropy comparison for nonnegative Gaussian quadratic forms
Maciej Bartczak, Piotr Nayar, Szymon Zwara
In this article we study weighted sums of i.i.d. Gamma() random variables with nonnegative weights. We show that for the sum with equal coefficients maximizes d…