Omote Rokko Driveway
Published papers
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K. Fukuyama,
Some limit theorems of almost periodic function systems under the relative measure,
Journal of Mathematics of Kyoto University,
vol. 28, 557--577, 1988,
Open access
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K. Fukuyama,
Functional central limit theorem and Strassen's law of the iterated logarithms for weakly multiplicative systems,
Journal of Mathematics of Kyoto University,
vol. 30, 625--635, 1990,
Open access
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K. Fukuyama,
Some limit theorems for weakly multiplicative systems,
Colloquia Mathematica Societatis János Bolyai,
vol. 57, 197--214, 1990,
Preprint
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K. Fukuyama,
A mean central limit theorem for weakly multiplicative systems and its application to lacunary trigonometric series,
Probability Theory and Related Fields,
vol. 89, 159--179, 1991,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
On the central limit theorem for some gap series,
Probability Theory and Mathematical Statistics,
Eds. A. N. Shiryaev, V. S. Korolyuk, S. Watanabe, M. Fukushima,
World Scientific, 104--110, 1992,
Preprint
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K. Fukuyama,
Functional law of the iterated logarithm for lacunary trigonometric and some gap series,
Journal of Mathematics of Kyoto University,
vol. 32, 967--987, 1992,
Open access
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K. Fukuyama,
The central limit theorem for Riesz-Raikov sums,
Probability Theory and Related Fields,
vol. 100, 57--75, 1994,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
The central limit theorem for Rademacher system,
Proceedings of the Japan Academy Ser. A,
vol. 70, 253--256, 1994,
Open access,
Accepted Manuscript
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K. Fukuyama,
Riesz-Raikov sums and Weyl automorphism,
Monte Carlo Methods and Applications,
vol. 2, 271--293, 1996,
Walter de Gruyter,
Published version
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K. Fukuyama,
Riesz-Raikov sums and irrational rotations,
Trends in Probability and related Analysis,
eds. N. Kono & N. R. Shieh, 151--158,
World Scientific,
1997,
Preprint
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K. Fukuyama & S. Takahashi,
The central limit theorem for lacunary series,
Proceedings of the American Mathematical Society,
vol. 127, 599--608, 1999,
Open access,
Accepted Manuscript
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K. Fukuyama,
On the gap series of Mark Kac,
Colloquium Mathematicum,
vol 81, 157--160, 1999.
Open access
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K. Fukuyama & S. Takahashi,
A remark on the g-CLT result by Molgenthaler,
Trends in Probability and related Analysis,
eds. N. Kono & N. R. Shieh, 203--206,
World Scientific, 203--206,
1999,
Preprint
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K. Fukuyama,
The central limit theorem for
$\sum f(\theta^n x)g(\theta^{n^2}x)$,
Ergodic Theory and Dynamical Systems,
vol 20, 1335--1353, 2000,
Cambridge,
Accepted Manuscript
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K. Fukuyama & T. Tomokuni,
On pseudorandom functions and asymptotic distributions,
Monte Carlo Methods and Applications,
vol 6, 167--174, 2000,
Walter de Gruyter,
Published version
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K. Fukuyama & B. Petit,
Le théorème limite central pour les suites de R. C. Baker,
Ergodic Theory and Dynamical Systems,
vol 21, 479--492, 2001,
Cambridge,
Accepted Manuscript
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K. Fukuyama,
Almost sure invariance principles for lacunary trigonometric series,
Comptes Rendus de l'Académie des Sciences, Series I,
vol 332, 685--690, 2001,
Science direct,
Accepted Manuscript
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K. Fukuyama,
A version of the law of the large numbers,
Colloquium Mathematicum,
vol 90, 295--298, 2001,
Open access
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K. Fukuyama,
The central limit theorem for non-conventional average,
Limit Theorems in Probability and Statistics II,
I. Berkes, E. Csáki, M. Csörgő eds.,
Janos Bolyai Mathematical Society,
Budapest, 77--90, 2002,
Preprint
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K. Fukuyama,
An asymptotic property of gap series,
Acta Mathematica Hungarica,
vol 97, 257--264, 2002,
Free view ,
Springer Link,
Accepted Manuscript
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K. Fukuyama & B. Petit,
An asymptotic property of gap series II,
Acta Mathematica Hungarica,
vol 98, 245--258, 2003,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
An asymptotic property of gap series III,
Acta Mathematica Hungarica,
vol 103, 97--106, 2004,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
The concrete upper bound for the uniform law of the iterated logarithm,
Studia Scientiarum Mathematicarum Hungarica,
vol 41, 339-346, 2004,
Academiai Kiado,
Accepted Manuscript
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K. Fukuyama,
Gap series and functions of bounded variation,
Acta Mathematica Hungarica, vol. 110, 175--191, 2006,
Free view ,
Springer Link,
Accepted Manuscript
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K. Fukuyama & R. Kondo,
On recurrence property of Riesz-Raikov sums,
Lobachevskii Journal of Mathematics,
vol. 26 (2007) 27-31,
Open access,
Accepted Manuscript
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K. Fukuyama,
On lacunary trigonometric product,
Probability and Number Theory --- Kanazawa 2005,
Advanced Studies in Pure Mathematics,
vol. 49 (2007) 79-90,
Project Euclid (Open Access)
Preprint
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K. Fukuyama,
The law of the iterated logarithm for discrepancies of $\{\theta^n x\}$,
Acta Mathematica Hungarica, vol. 118 (2008) 155-170,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama & S. Takahashi,
On limit distribution of trigonometric sums,
Revue Roumaine des Mathématiques Pures et Appliquées,
vol. 53 (2008) 19-24,
Open access
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K. Fukuyama & Y. Ueno,
On the central limit theorem and the law of the iterated logarithm,
Statistics & Probability Letters, vol. 78 (2008) 1384-1387,
Science direct,
Accepted Manuscript
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K. Fukuyama & Y. Takeuchi,
The law of the iterated logarithm for subsequences:
a simple proof,
Lobachevskii Journal of Mathematics,
vol. 29 (2008) 130-132,
Springer Link,
Accepted Manuscript
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K. Fukuyama & Y. Komatsu,
A law of large numbers for arithmetic functions,
Proceedings of the American Mathematical Society,
vol. 137 (2009) 349--352,
Open access,
Accepted Manuscript
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K. Fukuyama,
The law of the iterated logarithm for the discrepancies of a permutation of $\{n_k x\}$,
Acta Mathematica Hungarica,
vol. 123 (2009) 121-125,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama & K. Nakata,
A metric discrepancy result for
the Hardy-Littlewood-Polya sequences,
Monatshefte für Mathematik,
vol. 160 (2010) 41-49,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
A law of the iterated logarithm for discrepancies: non-constant limsup,
Monatshefte für Mathematik,
vol. 160 (2010) 143-149,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
A central limit theorem
and a metric discrepancy result
for sequence
with bounded gaps,
Dependence in Probability, Analysis and Number Theory,
Kendrick Press
(2010)
233--246,
Accepted Manuscript
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K. Fukuyama,
Pure gaussian limit distributions
of trigonometric series
with bounded gaps,
Acta Mathematica Hungarica,
vol. 129 (2010) 303--313,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama & D. Neupane,
Recurrence for
cosine series with bounded gaps,
Colloquium Mathematicum,
vol. 121 (2010) 281-284,
IMPAN(Open access),
Preprint
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K. Fukuyama,
A central limit theorem for trigonometric series
with bounded gaps,
Probability Theory and related Fields,
vol. 149 (2011) 139-148,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
A metric discrepancy result for
a lacunary sequence with small gaps,
Monatshefte für Mathematik,
vol. 162 (2011) 277-288,
Free view ,
Springer Link,
Accepted Manuscript
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K. Fukuyama & N. Hiroshima,
Metric discrepancy results for subsequences of $\{\theta^k x\}$,
Monatshefte für Mathematik,
vol. 165 (2012) 199-215,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama & T. Watada,
A metric discrepancy result for
lacunary sequences,
Proceedings of American Mathematical Society,
vol. 140 (2012) 749--754,
Open access,
Accepted Manuscript
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K. Fukuyama & S. Miyamoto,
Metric discrepancy results for Erdos-Fortet sequence,
Studia Scientiarum Mathematicarum Hungarica,
vol. 49 (2012) 52-78,
Academiai Kiado,
Accepted Manuscript
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K. Fukuyama,
Metric discrepancy results for geometric progressions and variations,
Summer School on the Theory of Uniform Distribution,
RIMS Kôkyûroku Bessatsu,
vol. B29 (2012) 41--64,
Open access
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K. Fukuyama & Y. Mitsuhata,
Bounded law of the iterated logarithm for discrepancies of permutations of lacunary sequences,
Summer School on the Theory of Uniform Distribution,
RIMS Kôkyûroku Bessatsu,
vol. B29 (2012) 65--88,
Open access,
Typographical Errors
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K. Fukuyama, K. Murakami, R. Ohno & S. Ushijima,
The law of the iterated logarithm for discrepancies
of three variations of geometric progressions,
Summer School on the Theory of Uniform Distribution,
RIMS Kôkyûroku Bessatsu,
vol. B29 (2012) 89--118,
Open access
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C. Aistleitner & K. Fukuyama,
On the law of the iterated logarithm for trigonometric series with bounded gaps,
Probability Theory and related Fields,
vol. 154 (2012) 607--620,
Free view ,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
Limit theorems for lacunary series and the theory of uniform distribution,
Sugaku Exposition,
vol. 25 (2012) 189--207,
Accepted Manuscript,
Original japanese version
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C. Aistleitner, K. Fukuyama & Y. Furuya,
Optimal bound for the discrepancies of lacunary sequences,
Acta Arithmetica,
vol. 158 (2013) 229--243,
IMPAN,
Preprint
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K. Fukuyama,
Metric discrepancy results for alternating geometric progressions,
Monatshefte für Mathematik,
vol. 171 (2013) 33--63,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama,
A metric discrepancy result for the sequence of powers of minus two,
Indagationes Mathematicae,
vol. 25 (2014) 487--504,
Science direct,
Accepted Manuscript
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C. Aistleitner & K. Fukuyama,
Extremal discrepancy behaviour of lacunary sequences,
Monatshefte für Mathematik,
vol. 177 (2015) 167--184,
Free view,
Springer Link,
Accepted Manuscript
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K. Fukuyama & N. Kuri,
The central limit theorem for complex Riesz-Raikov sums,
Comptes Rendus de l'Académie des Sciences, Series I,
vol. 353 (2015) 749--753,
Science direct,
Accepted Manuscript
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C. Aistleitner & K. Fukuyama,
On the law of the iterated logarithm for trigonometric series with bounded gaps II,
Journal de Théorie des Nombres de Bordeaux,
vol. 28 (2016) 391-416,
Cedram,
Preprint
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K. Fukuyama & M. Yamashita,
Metric discrepancy results for geometric progressions with large ratios,
Monatshefte für Mathematik,
vol. 180 (2016) 713--730,
Free view ,
Springer Link,
Accepted Manuscript
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I. Berkes, K. Fukuyama & T. Nishimura,
A metric discrepancy result with given speed,
Acta Mathematica Hungarica,
vol. 151 (2017) 199--216,
Free View,
Springer Link,
Accepted Manuscript
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K. Fukuyama & Y. Noda,
On permutational invariance of the metric discrepancy results,
Mathematica Slovaca,
vol 67 (2017) 349--354,
de Gruyter,
Published version
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K. Fukuyama, S. Sakaguchi, O. Shimabe, T. Toyoda, M. Tscheckl,
Metric discrepancy results for geometric progressions with small ratios,
Acta Mathematica Hungarica,
vol 155 (2018) 416-430,
Free view,
Springer Link,
Accepted Manuscript,
vervose version
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K. Fukuyama,
The central limit theorem for Riesz-Raikov sums II,
Transactions of the American Mathematical Society,
vol 372 (2019) 1193-1211
Amer. Math. Soc.,
Accepted Manuscript,
Preprint
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K. Fukuyama,
A metric discrepancy result for geometric progression with ratio 3/2,
Various Aspects of Multiple Zeta Functions---
in honor of Professor Matsumoto's 60th birthday,
Advanced Studies in Pure Mathematics, vol 84 (2020) 65-78,
Mathematical Society of Japan, Tokyo.
Project Euclid
Preprint
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K. Fukuyama, S. Mori, Y. Tanabe,
Metric discrepancy results for geometric progressions perturbed by irrational rotations,
Acta Mathematica Hungarica,
vol. 161 (2020) 48-65.
Free view,
Springer Link,
Accepted Manuscript,
preprint
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K. Fukuyama,
The law of the iterated logarithm for
the discrepancy of perturbed geometric progressions,
Acta Mathematica Hungarica,
vol. 164 (2021) 157-177.
Free view,
Springer Link,
Accepted Manuscript,
preprint
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K. Fukuyama, K. Suzaki,
Metric discrepancy results for
subsequences of geometric progressions,
Lobachevskii Journal of Mathematics,
vol. 42 (2021) 3123-3126
Free view,
Springer Link,
Accepted Manuscript,
preprint
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K. Fukuyama,
Metric discrepancy results for geometric progressions with large ratios II,
Monatshefte für Mathematik,
vol. 202 (2023) 281-315
Free view,
Springer Link,
Accepted Manuscript,
preprint
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K. Fukuyama,
Metric star discrepancy results for alternating geometric progressions,
Monatshefte für Mathematik,
Vol 206 (2025) 343-360
Free view,
Springer Link(Open Access),
Published version