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math.NT2019
Completely uniformly distributed sequences based on de Bruijn sequences
Emilio Almansi, Verónica Becher
We study a construction published by Donald Knuth in 1965 yielding a completely uniformly distributed sequence of real numbers. Knuth's work is based on de Bruijn sequences of incr…
math.NT2019
Low discrepancy sequences failing Poissonian pair correlations
Verónica Becher, Olivier Carton, Ignacio Mollo Cunningham
M. Levin defined a real number that satisfies that the sequence of the fractional parts of are such that the first terms have discrepancy $O((\log N)^2/…