12 citations · 34 across the 20 of their papers we have counts for
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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…
cs.DM2019
Extending de Bruijn sequences to larger alphabets
Verónica Becher, Lucas Cortés
A de Bruijn sequence of order n over a k-symbol alphabet is a circular sequence where each length-n sequence occurs exactly once. We present a way of extending de Bruijn sequences…
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/…