Omote Rokko Driveway

Published papers

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, Open access
   
   
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, Open access
   
   
3. K. Fukuyama, Some limit theorems for weakly multiplicative systems, Colloquia Mathematica Societatis Janos Bolyai, vol. 57, 197--214, 1990, Preprint
   
   
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, Free view, Springer Link, Accepted Manuscript
   
   
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, Preprint
   
   
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, Open access
   
   
7. 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
   
   
8. 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
   
   
9. K. Fukuyama, Riesz-Raikov sums and Weyl automorphism, Monte Carlo Methods and Applications, vol. 2, 271--293, 1996, Walter de Gruyter, Published version
   
   
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, Preprint
    
    
11. 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
    
    
12. K. Fukuyama, On the gap series of Mark Kac, Colloquium Mathematicum, vol 81, 157--160, 1999. Open access
    
    
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, Preprint
    
    
14. 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
    
    
15. 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
    
    
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, Cambridge, Accepted Manuscript
    
    
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, Science direct, Accepted Manuscript
    
    
18. K. Fukuyama, A version of the law of the large numbers, Colloquium Mathematicum, vol 90, 295--298, 2001, Open access
    
    
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, Preprint
    
    
20. K. Fukuyama, An asymptotic property of gap series, Acta Mathematica Hungarica, vol 97, 257--264, 2002, Free view , Springer Link, Accepted Manuscript
    
    
21. 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
    
    
22. K. Fukuyama, An asymptotic property of gap series III, Acta Mathematica Hungarica, vol 103, 97--106, 2004, Free view, Springer Link, Accepted Manuscript
    
    
23. 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
    
    
24. K. Fukuyama, Gap series and functions of bounded variation, Acta Mathematica Hungarica, vol. 110, 175--191, 2006, Free view , Springer Link, Accepted Manuscript
    
    
25. K. Fukuyama & R. Kondo, On recurrence property of Riesz-Raikov sums, Lobachevskii Journal of Mathematics, vol. 26 (2007) 27-31, Open access, Accepted Manuscript
    
    
26. 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
    
    
27. 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
    
    
28. K. Fukuyama & S. Takahashi, On limit distribution of trigonometric sums, Revue Roumaine des Mathematiques Pures et Appliques, vol. 53 (2008) 19-24, Open access
    
    
29. 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
    
    
30. 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
    
    
31. 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
    
    
32. 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
    
    
33. K. Fukuyama & K. Nakata, A metric discrepancy result for the Hardy-Littlewood-Polya sequences, Monatshefte fuer Mathematik, vol. 160 (2010) 41-49, Free view, Springer Link, Accepted Manuscript
    
    
34. K. Fukuyama, A law of the iterated logarithm for discrepancies: non-constant limsup, Monatshefte fuer Mathematik, vol. 160 (2010) 143-149, Free view, Springer Link, Accepted Manuscript
    
    
35. 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
    
    
36. 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
    
    
37. K. Fukuyama & D. Neupane, Recurrence for cosine series with bounded gaps, Colloquium Mathematicum, vol. 121 (2010) 281-284, IMPAN(Open access), Preprint
    
    
38. 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
    
    
39. K. Fukuyama, A metric discrepancy result for a lacunary sequence with small gaps, Monatshefte fuer Mathematik, vol. 162 (2011) 277-288, Free view , Springer Link, Accepted Manuscript
    
    
40. K. Fukuyama & N. Hiroshima, Metric discrepancy results for subsequences of $\{\theta^k x\}$, Monatshefte fuer Mathematik, vol. 165 (2012) 199-215, Free view, Springer Link, Accepted Manuscript
    
    
41. 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
    
    
42. K. Fukuyama & S. Miyamoto, Metric discrepancy results for Erdos-Fortet sequence, Studia Scientiarum Mathematicarum Hungarica, vol. 49 (2012) 52-78, Academiai Kiado, Accepted Manuscript
    
    
43. K. Fukuyama, Metric discrepancy results for geometric progressions and variations, Summer School on the Theory of Uniform Distribution, RIMS Kokyuroku Bessatsu, vol. B29 (2012) 41--64, Open access
    
    
44. 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 Kokyuroku Bessatsu, vol. B29 (2012) 65--88, Open access, Typographical Errors
    
    
45. 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 Kokyuroku Bessatsu, vol. B29 (2012) 89--118, Open access
    
    
46. 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
    
    
47. 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
    
    
48. C. Aistleitner, K. Fukuyama & Y. Furuya, Optimal bound for the discrepancies of lacunary sequences, Acta Arithmetica, vol. 158 (2013) 229--243, IMPAN, Preprint
    
    
49. K. Fukuyama, Metric discrepancy results for alternating geometric progressions, Monatshefte fuer Mathematik, vol. 171 (2013) 33--63, Free view, Springer Link, Accepted Manuscript
    
    
50. 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
    
    
51. C. Aistleitner & K. Fukuyama, Extremal discrepancy behaviour of lacunary sequences, Monatshefte fuer Mathematik, vol. 177 (2015) 167--184, Free view, Springer Link, Accepted Manuscript
    
    
52. K. Fukuyama & N. Kuri, The central limit theorem for complex Riesz-Raikov sums, Comptes Rendus Mathematique, Academie des Sciences, Paris, vol. 353 (2015) 749--753, Science direct, Accepted Manuscript
    
    
53. C. Aistleitner & K. Fukuyama, On the law of the iterated logarithm for trigonometric series with bounded gaps II, Journal de Theorie des Nombres de Bordeaux, vol. 28 (2016) 391-416, Cedram, Preprint
    
    
54. K. Fukuyama & M. Yamashita, Metric discrepancy results for geometric progressions with large ratios, Monatshefte fuer Mathematik, vol. 180 (2016) 713--730, Free view , Springer Link, Accepted Manuscript
    
    
55. 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
    
    
56. K. Fukuyama & Y. Noda, On permutational invariance of the metric discrepancy results, Mathematica Slovaca, vol 67 (2017) 349--354, de Gruyter, Published version
    
    
57. 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
    
    
58. 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
    
    
59. 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
    
    
60. 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
    
    
61. 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
    
    
62. 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
    
    
63. K. Fukuyama, Metric discrepancy results for geometric progressions with large ratios II, Monatshefte fuer Mathematik, vol. 202 (2023) 281-315 Free view, Springer Link, Accepted Manuscript, preprint