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math.PR2018
Comparison of moments of Rademacher chaoses
Paata Ivanisvili, Tomasz Tkocz
We show that complex hypercontractivity gives better constants than real hypercontractivity in comparison inequalities for (low) moments of Rademacher chaoses (homogeneous polynomi…
math.PR2018
Stochastic dominance and weak concentration for sums of independent symmetric random vectors
Witold Bednorz, Tomasz Tkocz
Kwapien and Woyczynski asked in their monograph (1992) whether their notion of superstrong domination is inherited when taking sums of independent symmetric random vectors (one vec…