M. Levin

activity

20112020

most citedOn the lower bound of the discrepancy of

(t, s)

sequences: II

6 citations · 8 across the 10 of their papers we have counts for

collaborators

Showing 2018 · math.NTShow all

2 papers · 2 filters

math.NT2018

On a bounded remainder set for a digital Kronecker sequence

Mordechay B. Levin

Let $x_{0}, x_{1}, ...$ be a sequence of points in $[0, 1)^{s}$ . A subset $S$ of $[0, 1)^{s}$ is called a bounded remainder set if there exist two real numbers $a$ and $C$ such tha…

math.NT2018

On the upper bound of the $L_{p}$ discrepancy of Halton's sequence and the Central Limit Theorem for Hammersley's net

Mordechay B. Levin

Let $(H_{s} (n))_{n \geq 1}$ be an $s -$ dimensional Halton's sequence, and let $H_{s + 1, N} = (H_{s} (n), n / N)_{n = 0}^{N - 1}$ be the $s + 1 -$ dimensional Hammersley point set. Let $D(\m…

On a bounded remainder set for a digital Kronecker sequence

On the upper bound of the Lp​ discrepancy of Halton's sequence and the Central Limit Theorem for Hammersley's net

On the upper bound of the $L_{p}$ discrepancy of Halton's sequence and the Central Limit Theorem for Hammersley's net