Lev Markhasin

activity

20102024

most citedOptimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

25 citations · 135 across the 12 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.FA2014

BMO and exponential Orlicz space estimates of the discrepancy function in arbitrary dimension

Dmitriy Bilyk, Lev Markhasin

In the current paper we obtain discrepancy estimates in exponential Orlicz and BMO spaces in arbitrary dimension $d \geq 3$ . In particular, we use dyadic harmonic analysis to prove…

math.NA2014★ 11 cited

L_p- and S_{p,q}^rB-discrepancy of (order 2) digital nets

Lev Markhasin

Dick proved that all order $2$ digital nets satisfy optimal upper bounds of the $L_{2}$ -discrepancy. We give an alternative proof for this fact using Haar bases. Furthermore, we prov…