Low discrepancy sequences failing Poissonian pair correlations

Verónica Becher, Olivier Carton, Ignacio Mollo Cunningham

M. Levin defined a real number $x$ that satisfies that the sequence of the fractional parts of $(2^{n}x{)}_{n\ge 1}$ are such that the first $N$ terms have discrepancy $O((\log N)^2/…