FUKUYAMA KATUSI 福山克司

… Alternative Names

Researcher Number	60218956
Other IDs
Affiliation (Current)	2020: 神戸大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2016 – 2019: 神戸大学, 理学研究科, 教授 2014 – 2015: 神戸大学, 大学院理学研究科, 教授 2013 – 2015: 神戸大学, 理学(系)研究科(研究院), 教授 2010 – 2012: 神戸大学, 大学院・理学研究科, 教授 2010: 神戸大学, 理学研究科, 教授 … More
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic Section 12010:Basic analysis-related Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis / Basic analysis / Mathematical Sciences in Search of New Cooperation
Keywords	Principal Investigator 中心極限定理 / 重複対数の法則 / Riesz-Raikov和 / 一様分布論 / 間隙級数 / 概不変原理 / 間隙三角級数 / 差異量 / Central limit theorem / uniformly distributed sequence … More Except Principal Investigator 中心極限定理 / パーコレーション / spectral gap / percolation / Widom-Rowlinson model / イジングモデル / 再帰性 / グレブナ基底 / 特殊関数 / エルゴード理論 / 連分数 / ユークリッドアルゴリズム / 国際研究者交流 / 国際情報交換 / 極限定理 / fluctuation / Ising model / Glauber dynamics / reinforced random walk / Gibbs分布 / 相境界 / central limit theorem / 多次元拡散過程 / フェラ-半群 / 楕円型境界値問題 / 確率微分方程式 / Skorohod空間 / フ-リエ変換 / trimmed sum / 独立同分布 / J_1ー位相 / レヴィ過程 / DSM / 混合性 / 自己吸引的ランダムウォーク / 初期重み / reinforcement / 推定 / 数学ソフトウエア / 組み合わせ論的集合論 / 重複対数の法則 / 極小曲面 / ホロノミック勾配降下法 / 数学ソフトエウア / Fisher-Bingham分布 / 超幾何関数 / logarithmic cohomology / Sparse SDP / 離散極小曲面 / 無矛盾性 / 特異基数 / ノンパラメトリック推測法 / Rauzy induction / Diophantus近似 / オランダ:フランス:韓国:イスラエル / 非斉次ディオファンタス近似 / オランダ:フランス:韓国:イスラエル:イタリア / 密度定理 / 数論 / ランダム行列 / 概周期関数 / 一般ディリクレ級数 / スペクトル測度 / 確率論 / 極限周期的算術関数 / 有限整アデール環 / ランダム・ワイル・サンプリング / 一様分布論 / アルゴリズム / イスラエル、フランス、韓国 / 多国籍 / イタリア：イギリス / イスラエル:フランス:オランダ:韓国:ポーランド / グラウバーダイナミックス / スペクトルギャップ / 臨界点 / コンツゥアーの収縮 / 自己補強的ランダムウォーク / コントゥアーの収縮 / First passage percolation / コントゥアー / 境界条件 / 向きつきパーコレーション / 相関不等式 / critical point / shrink of contours / 非圧縮流体の運動方程式 / 初期値境界値問題 / 安定性 / 漸近挙動 / スペクトル解析 / Navier-Stokes方程式 / 初期値問題 / 作用素半群 / 作用素の分数べき / Navier-Stokes 方程式 / 半群 / 観測可能量 / Navier-Stokes equations / Initial-boundary value problem / Stability / Asymptotic behavior / Limit theorems / Spectral analysis / 相分離 / 局所極限定理 / Wulff Shape / 相構造 / 平行移動不変 / 2次元Widom-Rowlinsonモデル / 局所型極限定理 / 表面張力 / 3粒子モデル / 2次元Ising model / 臨界温度 / first-passage percolation / phase separation / local limit theorem / Wulff shape / phase structure / translation invariance / Gibbs states / 確率微分方程式の数値解 / 確率数値解析 / 非因果的確率解析 / 関数方程式の確率的解法 / 数値積分 / 乱数 / 数理ファイナンス / 確率微分方程式の数値解法 / 確立微分方程式の数値解法 / 非因果的確率解法 / Numerical Solution of the SDE / Stochastic Numerics / Noncausal Stochastic Calculus / Stochastic Solution of Functional Equations / Numerical Integration / Random Numbers / Mathematical Finance / 条件つき極限定理 / Widom-Rowlinsonモデル / シルピンスキーカーペット格子 / 鋭い相転移 / Percolation / フラクタルグラフ / シルピンスキーカーペットグラフ / 相転移 / シェルピンスキーカーペット格子 / 相の共存 / 自由エネルギーの解析性 / スピン系 / Pirogov-Sinaiの定理 / Dobrushin-Hrynivの定理 / 2次元Widom-Rowlinson model / 相共存 / phase boundary / conditional limit theorem / Sierpinski carpet lattice / sharp transition / A-超幾何関数 / A-超幾何方程式 / D-加群 / 計算代数解析 / 数学公式 / 代数方程式系 / calA-超幾何関数 / calA-超幾何方程式 / 超幾何関数の積分表示 / A-hypergeometric function / A-hypergeometric equation / D-modules / Computational D-modules / Grobner basis / Mathematical formula / Special function / random numbers and integration / ニューラルネットワーク / 昆虫 / 体内コンパス Less

一様分布論の確率論的研究Principal InvestigatorOngoing
- Principal Investigator
  
  福山克司
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kobe University
一様分布論の測度論的研究Principal InvestigatorOngoing
- Principal Investigator
  
  福山克司
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Dinamical neuronal modeling of insect navigation based on polarization vision
- Principal Investigator
  
  SAKURA MIDORI
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Kobe University
Randomness in number theoryPrincipal Investigator
- Principal Investigator
  
  Fukuyama Katusi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Recent progress in ergodic theory of number theoretic algorithms
- Principal Investigator
  
  Nakada Hitoshi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Research on limit theorems for random sequences arising from number theory
- Principal Investigator
  
  SUGITA Hiroshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
An ergodic study of algorithms
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Computational Approaches for Mathematical Sciences
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2007 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Development of stochastic numerics and probability theory via lacunary seriesPrincipal Investigator
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Integrated Research on The Up-to-Date Problems in Stochastic Numerics
- Principal Investigator
  
  OGAW Shigeyoshi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ritsumeikan Univ.
Research of fluctuations of phase boundaries in large interacting systems from the probabilistic point of view
- Principal Investigator
  
  HIGUCHI Yasunari
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Computational Analysis of Hypergeometric Differential Equations
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KOBE UNIVERSITY
Probability Theory and Random numbers : Gap Theoretical ApproachPrincipal Investigator
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
Research on the formation and fluctuation of random shapes in mathematical models of statistical mechanics
- Principal Investigator
  
  HIGUCHI Yasunari
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
Real analitic probabilistic approach to theory of random numbersPrincipal Investigator
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
自己吸引的ランダムウォークの漸近挙動の研究
- Principal Investigator
  
  樋口保成
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Functional-analytic study on incompressible viscous fluid flows
- Principal Investigator
  
  MIYAKAWA Tetsuro
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  KOBE UNIVERSITY
Analysis of Critical Phenomena in Random Systems
- Principal Investigator
  
  HIGUCHI Yasunari
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Random number theory and real analytic probabilityPrincipal Investigator
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
高次元パーコレーションの研究
- Principal Investigator
  
  HIGUCHI Yasunari
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
確率論的極限定理の実解析的研究Principal Investigator
- Principal Investigator
  
  福山克司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
確立論的極限定理の実解析的研究Principal Investigator
- Principal Investigator
  
  福山克司
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
多次元拡散過程及び関連分野の研究
- Principal Investigator
  
  平良和昭
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
確率過程の関数型極限定理の研究
- Principal Investigator
  
  笠原勇二
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  University of Tsukuba

[Journal Article] A metric discrepancy result for geometric progression with ratio 3/22020
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: ー
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05204
[Journal Article] The central limit theorem for Riesz-Raikov sums II2019
- Author(s)
  Fukuyama Katusi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 372 Pages: 1193-1211
- DOI
  10.1090/tran/7772
- NAID
  120006653242
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05204
[Journal Article] Metric discrepancy results for geometric progressions with small ratios2018
- Author(s)
  Fukuyama K.、Sakaguchi S.、Shimabe O.、Toyoda T.、Tscheckl M.
- Journal Title
  
  Acta Mathematica Hungarica
  
  Volume: 印刷中
- DOI
  10.1007/s10474-018-0805-z
- NAID
  120006498203
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05204
[Journal Article] A metric discrepancy result with given speed2017
- Author(s)
  I. Berkes, K. Fukuyama & T. Nishimura
- Journal Title
  
  Acta Mathematica Hungarica
  
  Volume: 151 Pages: 199-216
- DOI
  10.1007/s10474-016-0658-2
- NAID
  120005980727
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05204
[Journal Article] Extremal discrepancy behaviour of lacunary sequences2015
- Author(s)
  C. Aistleitner, K. Fukuyama
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 177 Pages: 167-184
- DOI
  10.1007/s00605-014-0693-4
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] The central limit theorem for complex Riesz-Raikov sums2015
- Author(s)
  K. Fukuyama, N. Kuri
- Journal Title
  
  Comptes Rendus de l'Academie des Sciences, Paris, Serie I
  
  Volume: 351 Pages: 749-753
- DOI
  10.1016/j.crma.2015.04.020
- NAID
  120005980724
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340017, KAKENHI-PROJECT-24340020
[Journal Article] A metric discrepancy result for the sequence of powers of minus two2014
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: 25 Pages: 487-504
- DOI
  10.1016/j.indag.2013.12.002
- NAID
  120005980776
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340017, KAKENHI-PROJECT-24340020
[Journal Article] Metric discrepancy results for alternating geometric progressions2013
- Author(s)
  K. Fukuyama
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 171 Pages: 33-63
- DOI
  10.1007/s00605-012-0419-4
- NAID
  120005980782
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340017, KAKENHI-PROJECT-24340020
[Journal Article] Optimal bound for the discrepancies of lacunary sequences2013
- Author(s)
  C. Aistleitner, K. Fukuyama, Y. Furuya
- Journal Title
  
  Acta Arithmetica
  
  Volume: 158 Pages: 229-243
- DOI
  10.4064/aa158-3-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340017, KAKENHI-PROJECT-24340020
[Journal Article] Metric discrepancy results for Erdos-Fortet sequence2012
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Studia Scientiarum Mathematicarum Hungarica
  
  Volume: vol. 140 Pages: 749-754
- DOI
  10.1556/sscmath.2011.1186
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Metric discrepancy results for geometric progressions and variations2012
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  KIMS Kokyuroku Bessatu
  
  Volume: B29 Pages: 41-64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] A metric discrepancy result for lacunary sequences2012
- Author(s)
  Katusi Fukuyama, Tetsujin Watada
- Journal Title
  
  Proceedings of American Mathematical Society
  
  Volume: vol. 49 Pages: 52-78
- DOI
  10.1090/s0002-9939-2011-10940-7
- NAID
  120005980789
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Bounded law of the iterated logarithm for discrepancies of permutations of lacunary sequences2012
- Author(s)
  K. Fukuyama, Y. Mitsuhata
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B39 Pages: 65-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340017
[Journal Article] On the law of the iterated logarithm for trigonometric series with bounded gap2012
- Author(s)
  C. Aistleitner, K. Fukuyama
- Journal Title
  
  Probability Theory and related Fields
  
  Volume: 154 Pages: 607-620
- NAID
  120005980786
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340017
[Journal Article] The law of the iterated logarithm for discrepancies of three variations of geometric progressions2012
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  KIMS Kokyuroku Bessatu
  
  Volume: B29 Pages: 89-118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] Limit theorems for lacunary series and the theory of uniform distribution2012
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Sugaku Exposition
  
  Volume: 25 Pages: 189-207
- NAID
  120005980793
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] Bounded law of the iterated logarithm for discrepancies of permutations of lacunary sequences2012
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  KIMS Kokyuroku Bessatu
  
  Volume: B29 Pages: 65-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340020
[Journal Article] A central limit theorem for trigonometric series with bounded gaps2011
- Author(s)
  福山克司
- Journal Title
  
  Probability Theory and related Fields
  
  Volume: 149 Pages: 139-148
- NAID
  120005980785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] A central limittheorem for trigonometric series with bounded gaps2011
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Probability Theory and Related Fields
  
  Volume: vol. 149 Pages: 139-148
- DOI
  10.1007/s00440-009-0245-3
- NAID
  120005980785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] A metric discrepancy result for a lacunary sequence with small gap2011
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: vol. 162 Pages: 277-288
- DOI
  10.1007/s00605-009-0185-0
- NAID
  120005980780
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] A metric discrepancy result for a lacunary sequence with small gaps2011
- Author(s)
  福山克司
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 162 Pages: 277-288
- NAID
  120005980780
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] A law of the iterated logarithm for discrepancies: non-constant lim sup2010
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: vol. 160 Pages: 141-149
- DOI
  10.1007/s00605-008-0062-2
- NAID
  120005980779
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Pure Gaussian limit distributions of trigonometric series with bounded gaps2010
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Acta Mthematica Hungarica
  
  Volume: vol. 129 Pages: 303-313
- DOI
  10.1007/s10474-010-0034-6
- NAID
  120005980772
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Pure gaussian limit distributions of trigonometric series with bounded gaps2010
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematics Hungarica
  
  Volume: 129 Pages: 303-313
- NAID
  120005980772
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] On the number ofomitted values by a meromorphic finctionof finite energy and heat diffusions2010
- Author(s)
  Katusi Fukuyama
- Journal Title
  
  Journal of Geometric Analysis
  
  Volume: vol. 20 Pages: 1008-1025
- DOI
  10.1007/s12220-010-9131-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] A law of the iterated logarithm for discrepancies : non-constant limsup2010
- Author(s)
  福山克司
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 160 Pages: 141-149
- NAID
  120005980779
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] Pure gaussian limit distributions of trigonometric series with bounded gaps2010
- Author(s)
  福山克司
- Journal Title
  
  Acta Mathematica Hungarica
  
  Volume: 129 Pages: 303-313
- NAID
  120005980772
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340027
[Journal Article] A law of large numbers for arithmetic functions2009
- Author(s)
  K. Fukuyama & Y. Komatsu
- Journal Title
  
  Proceedings of the American Mathematical Society 137
  
  Pages: 349-352
- NAID
  120005980788
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] On limit distribution of trigonometric sums2008
- Author(s)
  K. Fukuyama & S. Takahashi
- Journal Title
  
  Revue Roumaine des Mathematiques Pures et Appliques 53
  
  Pages: 19-24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] The law of the iterated logarithm for discrepancies of (θ^nx)2008
- Author(s)
  K. Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 118
  
  Pages: 155-170
- NAID
  120005980770
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] The law of the iterated logarithm for subsequences: a simple proof2008
- Author(s)
  K. Fukuyama & Y. Takeuchi
- Journal Title
  
  Lobachevskii Jour. Math. 29
  
  Pages: 130-132
- NAID
  120005980797
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] The law of the iterated logarithm for discrepancies of θ^nX2008
- Author(s)
  K. Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 118
  
  Pages: 155-170
- NAID
  120005980770
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] On the central limit theorem and the law of the iterated logarithm2008
- Author(s)
  K. Fukuyama & Y. Ueno
- Journal Title
  
  Statistics & Probability Letters 78
  
  Pages: 1384-1387
- NAID
  120005980790
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] The law of the iterated logarithm for discrepancies of {θ^nx}2008
- Author(s)
  K. fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 118
  
  Pages: 155-170
- NAID
  120005980770
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] The law of the iterated logarithm for discrepancies of {θ^nχ}2008
- Author(s)
  K. Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 118
  
  Pages: 155-170
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] On the central limit theorem and the law of the iterated logarithm2008
- Author(s)
  K. Fukuyama&Y. Ueno
- Journal Title
  
  Statistics&Probability Letters 78
  
  Pages: 1384-1387
- NAID
  120005980790
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] On limit distribution of trigonometric sums2008
- Author(s)
  K. Fukuyama&S. Takahashi
- Journal Title
  
  Revue Roumaine des Mathematiques Pures et Ap-pliques 53
  
  Pages: 19-24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] The law of the iterated logarithm for discrepancies of {θ^nx}2008
- Author(s)
  K. Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 118
  
  Pages: 155-170
- NAID
  120005980770
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] On lacunary trigonometric product2007
- Author(s)
  K. Fukuyama
- Journal Title
  
  Probability and Number Theory - Kanazawa 2005 49
  
  Pages: 79-90
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] On lacunary trigonometric product2007
- Author(s)
  K. Fukuyama
- Journal Title
  
  Advanced Studies in Pure Mathematics 49
  
  Pages: 79-90
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] On recurrence property of Riesz-Raikov sums2007
- Author(s)
  K. Fukuyama & R. Kondo
- Journal Title
  
  Lobachevskii Journal of Mathematics 26
  
  Pages: 27-31
- NAID
  120005980777
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] On recurrence property of Riesz-Raikov sums2007
- Author(s)
  K. Fukuyama & R. Kondo
- Journal Title
  
  Lobachevskii Jour. Math. 26
  
  Pages: 27-31
- NAID
  120005980777
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] Gap series and functions of bounded variation2006
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Math. Hungar. 110
  
  Pages: 175-191
- NAID
  120005980769
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Gap series and functions of bounded variation2006
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 110
  
  Pages: 175-191
- NAID
  120005980769
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340032
[Journal Article] Gap series and functions of bounded variation2006
- Author(s)
  K. Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 110
  
  Pages: 175-191
- NAID
  120005980769
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] Gap series and functions of bounded variation2006
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 110
  
  Pages: 175-191
- NAID
  120005980769
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340028
[Journal Article] Gap series and functions of bounded variation2006
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acts Mathematica Hungarica 110
  
  Pages: 175-191
- NAID
  120005980769
- Data Source
  KAKENHI-PROJECT-15340028
[Journal Article] Gap series and functions of bounded variation2006
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 110
  
  Pages: 175-191
- NAID
  120005980769
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] Gap series and functions of bounded variation,2006
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Math. Hungar. 110
  
  Pages: 175-191
- NAID
  120005980769
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Gap series and functions of bounded variation2006
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica Vol. 110
  
  Pages: 175-191
- NAID
  120005980769
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340032
[Journal Article] A concrete upper bound in the uniform law of the iterated logarithm2004
- Author(s)
  K.Fukuyama
- Journal Title
  
  Studia Scientiarum Mathematicarum Hungarica 41
  
  Pages: 339-346
- NAID
  120005980791
- Data Source
  KAKENHI-PROJECT-14540116
[Journal Article] A concrete upper bound in the uniform law of the iterated logarithm,2004
- Author(s)
  K.Fukuyama
- Journal Title
  
  Studia Scientiarum Mathematicarum Hungarica 41
  
  Pages: 339-346
- NAID
  120005980791
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Journal Article] An asymptotic property of gap series III2004
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 102
  
  Pages: 43-52
- NAID
  120005980768
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Journal Article] A concrete upper bound in the uniform law of the iterated logarithm2004
- Author(s)
  K.Fukuyama
- Journal Title
  
  Studia Scientiarum Mathematicarum Hungarica 41
  
  Pages: 339-346
- NAID
  120005980791
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340032
[Journal Article] A concrete upper bound in the uniform law of the iterated logarithm2004
- Author(s)
  K.Fukuyama
- Journal Title
  
  Studia Scientiarum Mathematicaruni Hungarica 41
  
  Pages: 339-346
- NAID
  120005980791
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Journal Article] An asymptotic property of gap series III2004
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 102
  
  Pages: 97-106
- NAID
  120005980768
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340032
[Journal Article] An asymptotic property of gap series II,2003
- Author(s)
  K.Fukuyama, B.Petit
- Journal Title
  
  Acta Mathematica Hungarica 98
  
  Pages: 245-258
- NAID
  120005980767
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Journal Article] An asymptotic property of gap series II2003
- Author(s)
  K.Fukuyama, B.Petit
- Journal Title
  
  Acta Mathematica Hungarica Vol. 98
  
  Pages: 245-258
- NAID
  120005980767
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340032
[Journal Article] An asymptotic property of gap series2002
- Author(s)
  K.Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica 97
  
  Pages: 257-264
- NAID
  120005980766
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Journal Article] The central limit theorem for non-conventional averages2002
- Author(s)
  K.Fukuyama
- Journal Title
  
  Limit Theorems in Probability and Statistics II(I.Berkes, E.Csaki, M.Csorgo eds.)(Janos Bolyai Mathematical Society, Budapest)
  
  Pages: 77-90
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Journal Article] The law of the iterated logarithm for the discrepancies of a permutation of(n_kx)
- Author(s)
  K. Fukuyama
- Journal Title
  
  Acta Mathematica Hungarica
  
  Pages: 0-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] A law of the iterated logarithm for discrepancies: non-constant limsup Monatshefte f¨ur Mathematik
- Author(s)
  K. Fukuyama
- Journal Title
  
  Monatshefte fur Mathematik
  
  Pages: 0-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Journal Article] A metric discrepancy result for the Hardy-Littlewood-Polya sequences
- Author(s)
  K. Fukuyama & K. Nakata
- Journal Title
  
  Monatshefte fur Mathematik
  
  Pages: 0-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] Metric discrepancy results for geometric progressions with ratios 3/2, 4/3, 8/3, 10/3, 13/6 and 17/82017
- Author(s)
  福山克司、阪口晋次、島部理、チュクルマルティーナ
- Organizer
  日本数学会年会統計数学分科会
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-16K05204
[Presentation] 等比数列の一様分布論2016
- Author(s)
  Katusi Fukuyama
- Organizer
  東北確率論セミナー
- Place of Presentation
  東北大学 (宮城県・仙台市)
- Year and Date
  2016-01-29
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Metric discrepancy results for geometric progressions with large ratios2016
- Author(s)
  Katusi Fukuyama, Mai Yamashita
- Organizer
  日本数学会年会統計数学分科会
- Place of Presentation
  筑波大学 (茨城県・つくば市)
- Year and Date
  2016-03-17
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] A metric discrepancy result with given speed2016
- Author(s)
  I. Berkes、福山克司、西村拓也
- Organizer
  日本数学会秋期総合分科会統計数学分科会
- Place of Presentation
  関西大学
- Data Source
  KAKENHI-PROJECT-16K05204
[Presentation] On permutational invariance of the metric discrepancy results2015
- Author(s)
  福山克司、野田裕太郎
- Organizer
  日本数学会統計数学分科会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-24340017
[Presentation] Metric discrepancy results for complex geometric porgressions2015
- Author(s)
  福山克司、久利典之
- Organizer
  日本数学会統計数学分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-24340017
[Presentation] On permutational invariance of the metric discrepancy results2015
- Author(s)
  福山克司、野田裕太郎
- Organizer
  日本数学会年会
- Place of Presentation
  明治大学中野キャンパス、東京
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Metric discrepancy results for complex geometric progressions2015
- Author(s)
  Katusi Fukuyama, Noriyuki Kuri
- Organizer
  日本数学会秋季総合分科会統計数学分科会
- Place of Presentation
  京都産業大学　（京都府・京都市)
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] 有界間隙列の重複対数の法則について　ＩＩ2014
- Author(s)
  福山克司、Christoph Aistleitner
- Organizer
  日本数学会統計数学分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-24340017
[Presentation] 有界間隙列の重複対数の法則についてII2014
- Author(s)
  C. Aistleitner Fukuyama, Katusi
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学、東広島市
- Year and Date
  2014-09-26
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Optimal bound for the discrepancies of lacunary sequences2013
- Author(s)
  福山克司
- Organizer
  日本数学会年会統計数学分科会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-20
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Metric discrepancy results for Erdos-Fortet sequence2012
- Author(s)
  福山克司、宮本翔
- Organizer
  日本数学会秋季総合分科会統計数学分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-24340017
[Presentation] Metric discrepancy results for Erdos-Fortet sequence2012
- Author(s)
  福山克司
- Organizer
  日本数学会秋期総合分科会統計数学分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] Hardy-Littlewood-P´olya の列のdiscrepancy が従う重複対数の法則について統計数学分科会2009
- Author(s)
  福山克司、中田啓介
- Organizer
  日本数学会2009 年年会東京大学
- Place of Presentation
  一般講演
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] Hardy-Littlewood-Polyaの列のdiscrepancyが従う重複対数の法則について2009
- Author(s)
  福山克司, 中田啓介
- Organizer
  統計数学分科会, 日本数学会2009年年会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] On the law of the iterated logarithm for discrepacies of fθnxg, Rencontres Math´ematiques en Rouen 20072009
- Author(s)
  K. Fukuyama
- Organizer
  Universit ´e de Rouen, France
- Place of Presentation
  招待講演
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] On the law of the iterated logarithm for fnkxg: non-constant limsup2008
- Author(s)
  K. Fukuyama
- Organizer
  Random matrices, special functions and related topics 京都大学数理解析研究所
- Place of Presentation
  招待講演
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 正の加法的函数を重みとした可積分同分布独立確率変数列の大数の法則について2008
- Author(s)
  福山克司、小松豊
- Organizer
  統計数学分科会, 日本数学会2008 年年会近畿大学
- Place of Presentation
  一般講演
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 数列fnkxg の並べ変えのdiscrepancyの漸近挙動について統計数学分科会2008
- Author(s)
  福山克司
- Organizer
  日本数学会2008 年秋季総合分科会東京工業大学
- Place of Presentation
  一般講演
- Year and Date
  2008-09-24
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] On the law of the iterated logarithm for discrepancies of {θ^nχ}2007
- Author(s)
  K. Fukuyama
- Organizer
  Rencontres Mathematiques en Rouen 2007
- Place of Presentation
  Universite de Rouen, France
- Year and Date
  2007-06-14
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] On the law of the iterated logarithm for discrepacies of fθnxg2007
- Author(s)
  K. Fukuyama
- Organizer
  Workshop on number theory and probability
- Place of Presentation
  京都大学数理解析研究所および国際高等研究所, 招待講演
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 数列fθnxg のDiscrepancy が従う重複対数の法則について2007
- Author(s)
  福山克司
- Organizer
  東京確率論セミナー、東京工業大学
- Place of Presentation
  一般講演
- Year and Date
  2007-02-05
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 数列fθnxg のDiscrepancy が従う重複対数の法則について2007
- Author(s)
  福山克司
- Organizer
  統計数学分科会, 日本数学会2007 年年会埼玉大学
- Place of Presentation
  一般講演
- Year and Date
  2007-03-27
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 大きい間隙を持つ数列fnkxg のdiscrepancy の従う重複対数の法則2007
- Author(s)
  福山克司
- Organizer
  統計数学分科会, 日本数学会2007 年秋季総合分科会東北大学
- Place of Presentation
  一般講演
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] On asymptotic propertiesof gap series, 8 June 20062006
- Author(s)
  K. Fukuyama
- Organizer
  Workshop On Probability With Applications, National Taiwan University, Taipei, Taiwan
- Place of Presentation
  招待講演
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 弱い連続率の下での間隙級数の重複対数の法則についてII2006
- Author(s)
  福山克司
- Organizer
  統計数学分科会, 日本数学会2006 年秋季総合分科会大阪市立大学
- Place of Presentation
  一般講演
- Year and Date
  2006-09-19
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 間隙級数の再帰性について2006
- Author(s)
  福山克司、近藤良太
- Organizer
  日本数学会2006 年年会中央大学
- Place of Presentation
  一般講演
- Year and Date
  2006-03-27
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] On the law of the iterated logarithm for gap series , Department of Mathematics, Hokkaido Univ.2005
- Author(s)
  K. Fukuyama
- Organizer
  Harmonic Analysis and its Applications at Sapporo,Organizers: A.Miyachi (Tokyo Woman'sChristian Univ.), K.Tachizawa(HokkaidoUniv.)
- Place of Presentation
  招待講演
- Year and Date
  2005-08-22
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] 弱い連続率の下での間隙級数の重複対数の法則について2005
- Author(s)
  福山克司
- Organizer
  統計数学分科会,日本数学会2005 年秋季総合分科会岡山大学
- Place of Presentation
  一般講演
- Year and Date
  2005-09-19
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] On the law of the iterated logarithm for gap series.2005
- Author(s)
  K. Fukuyama
- Organizer
  International Conference on Probability and Number Theory2005 (P&NT05,June 20 - June 24 ,2005), Kanazawa, Japan
- Place of Presentation
  招待講演
- Year and Date
  2005-06-23
- Data Source
  KAKENHI-PROJECT-17340029
[Presentation] The central limit theorem for subsequences of Erd\H os-Fortet sequence
- Author(s)
  福山克司, 簑原貴文
- Organizer
  日本数学会年会統計数学分科会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-24340020
[Presentation] The central limit theorem for subsequences of Erdos-Fortet sequence
- Author(s)
  福山克司、簑原貴文
- Organizer
  日本数学会年会統計数学分科会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-24340017
[Presentation] 等比数列の一様分布論
- Author(s)
  福山克司
- Organizer
  日本数学会秋季総合分科会統計数学分科会特別講演
- Place of Presentation
  愛媛大学
- Invited
- Data Source
  KAKENHI-PROJECT-24340017
[Presentation] 等比数列の一様分布論
- Author(s)
  福山　克司
- Organizer
  日本数学会秋季総合分科会統計数学分科会特別講演
- Place of Presentation
  愛媛大学
- Invited
- Data Source
  KAKENHI-PROJECT-24340020

1. HIGUCHI Yasunari (60112075)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
2. SUGITA Hiroshi (50192125)

# of Collaborated Projects: 5 results

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3. TAKAYAMA Nobuki (30188099)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. YAMAZAKI Tadashi (30011696)

# of Collaborated Projects: 4 results

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5. OGAWA Shigeyoshi (80101137)

# of Collaborated Projects: 3 results

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6. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 3 results

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7. MORITA Takehiko (00192782)

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8. WATANABE Kiyoshi (60091245)

# of Collaborated Projects: 3 results

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9. MURAI Joushin (00294447)

# of Collaborated Projects: 2 results

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10. HAMANA Yuji (00243923)

# of Collaborated Projects: 2 results

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11. YASUTOMI Kenji (20388127)

# of Collaborated Projects: 2 results

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12. NORO Masayuki (50332755)

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FUKUYAMA KATUSI 福山 克司

FUKUYAMA Katsushi 福山 克司

FUKUYAMA Katusi 福山 克司

福山 克司 フクヤマ カツシ

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一様分布論の確率論的研究Principal InvestigatorOngoing

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一様分布論の測度論的研究Principal InvestigatorOngoing

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Randomness in number theoryPrincipal Investigator

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Development of stochastic numerics and probability theory via lacunary seriesPrincipal Investigator

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Probability Theory and Random numbers : Gap Theoretical ApproachPrincipal Investigator

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FUKUYAMA KATUSI 福山克司

FUKUYAMA Katsushi 福山克司

FUKUYAMA Katusi 福山克司

福山克司フクヤマカツシ