Speakers
Sergei Astashkin
(Samara National Research University)
Konstantin Lykov
(Institute of Mathematics of the National Academy of Sciences of Belarus)
Description
According a recent result due to the authors of this talk, both multiple Rademacher system and Rademacher chaos possess the property of random unconditional convergence in $L_\infty$. This fact combined with some novel connections between $L_\infty$-norms of linear combinations of elements of these systems and some special norms of matrices of their coefficients allows us to establish sharp two-sided estimates for the discrepancy of weighted graphs and hypergraphs. Some of these results extend the classical theorems proved by Erdös and Spencer for the unweighted case.
Primary authors
Sergei Astashkin
(Samara National Research University)
Konstantin Lykov
(Institute of Mathematics of the National Academy of Sciences of Belarus)
