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…