Gap statistics and higher correlations for geometric progressions modulo one

Christoph Aistleitner, Simon Baker, Niclas Technau +1

Koksma's equidistribution theorem from 1935 states that for Lebesgue almost every $\alpha >1$, the fractional parts of the geometric progression $({\alpha }^n{)}_{n\ge 1}$ are equidistributed mo…