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math.NT2023
On Sequences with Exponentially Distributed Gaps
Christoph Aistleitner, Manuel Hauke, Agamemnon Zafeiropoulos
We disprove a folklore conjecture stating that a sequence in with exponential gap distribution must necessarily be uniformly distributed.
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…