182 citations · 508 across the 28 of their papers we have counts for
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math.NT2013★ 1 cited
On permutations of lacunary series
Christoph Aistleitner, Istvan Berkes, Robert Tichy
It is a well known fact that for periodic measurable and rapidly increasing the sequence behaves like a sequence of independent, identic…
math.NT2013
On the law of the iterated logarithm for permuted lacunary sequences
Christoph Aistleitner, Istvan Berkes, Robert Tichy
It is known that for any smooth periodic function the sequence behaves like a sequence of i.i.d.\ random variables, for example, it satisfies the central l…
math.NT2013★ 2 cited
On the system and probabilistic number theory
Christoph Aistleitner, Istvan Berkes, Robert Tichy
Let be a measurable function satisfying \begin{equation*} f(x+1)=f(x), \qquad \int_0^1 f(x)\, dx=0, \qquad \int_0^1 f^2(x)\, dx<\infty. \end{equatio…