5 citations · 7 across the 5 of their papers we have counts for
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math.PR2020
Large Deviation Principles for Lacunary Sums
Christoph Aistleitner, Nina Gantert, Zakhar Kabluchko +2
Let be a sequence of integers satisfying the Hadamard gap condition for all , and let $$ S_n(ω) = \sum_{k=1}^n\cos(2πa_k ω)…
math.NT2020
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 , the fractional parts of the geometric progression are equidistributed mo…
math.NT2020
A pair correlation problem, and counting lattice points with the zeta function
Christoph Aistleitner, Daniel El-Baz, Marc Munsch
The pair correlation is a localized statistic for sequences in the unit interval. Pseudo-random behavior with respect to this statistic is called Poissonian behavior. The metric th…