Low-discrepancy quasi-uniform digital sequences in every dimension (Halton-type failure and residue sequences)
Two results of the manuscript "Low-discrepancy quasi-uniform digital sequences in every dimension" (version 1): Corollary cor:halton of Theorem thm:nonqu, and Theorem thm:residue with Corollaries cor:korobov and cor:residueQU for one explicit sequence. Quasi-uniform means here: there is a real B such that h(P_[N]) = 2, where P_[N] is the set of the first N points, h is the Euclidean covering radius of [0,1]^s (a supremum over the cube of the minimum distance to the points) and delta is the minimum Euclidean distance over pairs of distinct indices. (1) For every prime p, every s >= 2 and all…
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