17 citations · 73 across the 39 of their papers we have counts for
7 papers · 2 filters
Lower bounds for the maximum of the Riemann zeta function along vertical lines
Christoph Aistleitner
Let be fixed. We prove that for all sufficiently large , wh…
On some questions of V.I. Arnold on the stochasticity of geometric and arithmetic progressions
Christoph Aistleitner
In some of his final papers, V.I. Arnold studied pseudorandomness properties of finite deterministic sequences, which he measured in terms of their "stochasticity parameter". In th…
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…
Extremal discrepancy behavior of lacunary sequences
Christoph Aistleitner, Katusi Fukuyama
In 1975 Walter Philipp proved the law of the iterated logarithm (LIL) for the discrepancy of lacunary sequences: for any sequence satisfying the Hadamard gap con…
On the asymptotic behavior of weakly lacunary series
Christoph Aistleitner, Istvan Berkes, Robert Tichy
Let be a measurable function satisfying and let be a sequence of integers satisf…
Lacunary sequences and permutations
Christoph Aistleitner, Istvan Berkes, Robert Tichy
By a classical principle of analysis, sufficiently thin subsequences of general sequences of functions behave like sequences of independent random variables. This observation not o…