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math.NT2023
Diophantine conditions in the law of the iterated logarithm for lacunary systems
Christoph Aistleitner, Lorenz Frühwirth, Joscha Prochno
It is a classical observation that lacunary function systems exhibit many properties which are typical for systems of independent random variables. However, it had already been obs…
math.NT2016★ 3 cited
Pair correlations and equidistribution
Christoph Aistleitner, Thomas Lachmann, Florian Pausinger
A deterministic sequence of real numbers in the unit interval is called \emph{equidistributed} if its empirical distribution converges to the uniform distribution. Furthermore, the…
math.NT2014★ 1 cited
On the law of the iterated logarithm for trigonometric series with bounded gaps II
Christoph Aistleitner, Katusi Fukuyama
It is well-known that for a quickly increasing sequence the functions show a behavior which is typical for sequences of independent…