S. Astashkin

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20002025

most citedExtrapolation: Stories and Problems

4 citations · 7 across the 10 of their papers we have counts for

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math.PR2024

Random unconditional convergence of Rademacher chaos in $L_{\infty}$ and sharp estimates for discrepancy of weighted graphs and hypergraphs

Sergey V. Astashkin, Konstantin V. Lykov

We prove that both multiple Rademacher system and Rademacher chaos possess the property of random unconditional convergence in the space $L_{\infty}$ . This fact combined with some in…

math.PR2022

Optimal range of Haar martingale transforms and its applications

Sergey Astashkin, Jinghao Huang, Marat Pliev +2

Let $(F_{n})_{n \geq 0}$ be the standard dyadic filtration on $[0, 1]$ . Let $E_{F_{n}}$ be the conditional expectation from $L_{1} = L_{1} [0, 1]$ onto $\mathcal{F}…

Random unconditional convergence of Rademacher chaos in L∞​ and sharp estimates for discrepancy of weighted graphs and hypergraphs

Optimal range of Haar martingale transforms and its applications

Random unconditional convergence of Rademacher chaos in $L_{\infty}$ and sharp estimates for discrepancy of weighted graphs and hypergraphs