論文

  1. 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.

  2. 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.

  3. K. Fukuyama, Some limit theorems for weakly multiplicative systems, Colloquia Mathematica Societatis J\'anos Bolyai, vol. 57, 197--214, 1990.

  4. 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.

  5. 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.

  6. 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.

  7. K. Fukuyama, The central limit theorem for Riesz-Raikov sums, Probability Theory and Related Fields, vol. 100, 57--75, 1994.

  8. K. Fukuyama, The central limit theorem for Rademacher system, Proceedings of the Japan Academy Ser. A, vol. 70, 253--256, 1994.

  9. K. Fukuyama, Riesz-Raikov sums and Weyl automorphism, Monte Carlo Methods and Applications, vol. 2, 271--293, 1996.

  10. 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.

  11. K. Fukuyama & S. Takahashi, The central limit theorem for lacunary series, Proceedings of the American Mathematical Society, vol. 127, 599--608, 1999.

  12. K. Fukuyama, On the gap series of Mark Kac, Colloquium Mathematicum, vol 81, 157--160, 1999.

  13. 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.

  14. K. Fukuyama, The central limit theorem for Σ f(θn x) g(θn2x), Ergodic Theory and Dynamical Systems, vol 20, 1335--1353, 2000.

  15. K. Fukuyama & T. Tomokuni, On pseudorandom functions and asymptotic distributions, Monte Carlo Methods and Applications, vol 6, 167--174, 2000.

  16. K. Fukuyama & B. Petit, Le theoreme limite central pour les suites de R. C. Baker, Ergodic Theory and Dynamical Systems, vol 21, 479--492, 2001.

  17. K. Fukuyama, Almost sure invariance principles for lacunary trigonometric series, Comptes Rendus de l'Academie des Sciences, Paris, series I, vol 332, 685--690, 2001.

  18. K. Fukuyama, A version of the law of the large numbers, Colloquium Mathematicum, vol 90, 295--298, 2001

  19. K. Fukuyama, The central limit theorem for non-conventional average, Limit Theorems in Probability and Statistics II, I. Berkes, E. Csaki, M. Csorgo eds., Janos Bolyai Mathematical Society, Budapest, 77--90, 2002.

  20. K. Fukuyama, An asymptotic property of gap series, Acta Mathematica Hungarica, vol 97, 257--264, 2002.

  21. K. Fukuyama & B. Petit, An asymptotic property of gap series II, Acta Mathematica Hungarica, vol 98, 245--258, 2003.

  22. K. Fukuyama, An asymptotic property of gap series III, Acta Mathematica Hungarica, vol 102, 97--106, 2004.

  23. K. Fukuyama, The concrete upper bound for the uniform law of the iterated logarithm, Studia Scientiarum Mathematicarum Hungarica, vol 41, 339-346, 2004

  24. K. Fukuyama, Gap series and functions of bounded variation, Acta Mathematica Hungarica, vol. 110, 175--191, 2006.
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