Mordechay B. Levin

On the lower bound of the discrepancy of Halton’s sequence II

Let

On the Lower Bound in the Lattice Point Remainder Problem for a Parallelepiped

(H_s(n))_{n \geqslant 1}

On the Gaussian Limiting Distribution of Lattice Points in a Parallelepiped

(Hs(n))n⩾1 be an s-dimensional generalized Halton’s sequence. Let

EXPLICIT CONSTRUCTION OF NORMAL LATTICE CONFIGURATIONS

D^{*}_N

On low discrepancy sequences and low discrepancy ergodic transformations of the multidimensional unit cube

DN∗ be the discrepancy of the sequence