1 citations · 1 across the 5 of their papers we have counts for
5 papers
The central limit theorem for Riesz-Raikov sums II
Katusi Fukuyama
For a expanding matrix , we investigate randomness of the sequence and prove the central limit theorem for where is a periodic functi…
A metric discrepancy results for geometric progression with ratio
Katusi Fukuyama
We prove the law of the iterated logarithm for discrepancies of the sequence .
Metric discrepancy results for geometric progressions with small ratios
K. Fukuyama, S. Sakaguchi, O. Shimabe +2
The law of the iterated logarithm for discrepancies of geometric progressions with small ratios is proved.
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…