Rchr
J-GLOBAL ID：200901005500438258
Update date: Feb. 01, 2024
Fukuyama Katusi
フクヤマ カツシ | Fukuyama Katusi
Affiliation and department：
Job title：
Professor
Homepage URL (1)：
http://www.math.kobe-u.ac.jp/HOME/fukuyama/fukuyama-pub.html
Research field (1)：
Basic analysis
Research keywords (3)：
uniform distribution theory
, lacunary series
, probability theory
Research theme for competitive and other funds (26)：
- 2022 - 2025 一様分布論の解析的研究
- 2019 - 2022 一様分布論の確率論的研究
- 2016 - 2020 一様分布論の測度論的研究
- 2015 - 2018 偏光視を利用した昆虫のナビゲーションの動的神経モデリング
- 2012 - 2016 Recent progress in ergodic theory of number theoretic algorithms
- 2012 - 2016 Randomness in number theory
- 2010 - 2015 Research on limit theorems for random sequences arising from number theory
- 2009 - 2011 An ergodic study of algorithms
- 2005 - 2008 Development of stochastic numerics and probability theory via lacunary series
- 2007 - 計算による数理科学の展開
- 2003 - 2006 Integrated Research on The Up-to-Date Problems in Stochastic Numerics
- 2005 - 超幾何微分方程式の計算解析
- 2005 - 大規模相互作用系における相境界の揺らぎの確率論的研究
- 2002 - 2004 Probability Theory and Random numbers : Gap Theoretical Approach
- 2000 - 2002 Research on the formation and fluctuation of random shapes in mathematical models of statistical mechanics
- 2000 - 2001 Real analitic probabilistic approach to theory of random numbers
- 1998 - 2000 Functional-analytic study on incompressible viscous fluid flows
- 1997 - 1999 Analysis of Critical Phenomena in Random Systems
- 1998 - 1998 自己吸引的ランダムウォークの漸近挙動の研究
- 1997 - 1998 Random number theory and real analytic probability
- 1996 - 1996 高次元パーコレーションの研究
- 1996 - 1996 確率論的極限定理の実解析的研究
- 1994 - 1994 確立論的極限定理の実解析的研究
- 1991 - 1991 確率過程の関数型極限定理の研究
- 1991 - 1991 多次元拡散過程及び関連分野の研究
- 1990 - 1990 弱い従属性を持つ確率変数列の従う極限定理の研究
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Papers (63)：
MISC (7)：
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Katusi FUKUYAMA. 数論と確率論. 数理科学. 2017. 55. 9. 36-37
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福山 克司. 間隙級数の極限定理と一様分布論. 数学. 2010. 62巻1号1--17. 1. 1-17
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FUKUYAMA Katusi. LIL for discrepancies of ${\theta^nx}$ : a graphical sketch (Number Theory and Probability Theory). RIMS Kokyuroku. 2008. 1590. 10-27
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福山 克司. フーリエ級数と確率論. 数理科学. 2007. 45巻10号41-45
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FUKUYAMA KATUSI. 間隙級数の一様型重複大数の法則について. 数理解析研究所講究録. 2004. 1351,. 41-48
ｍore...
Lectures and oral presentations (42)：
-
Thresholds in metric discrepancy results for geometric progressions
(Recent Progress in Ergodic Theory 2022)
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Perturbed metric discrepancy results for geometric progressions
(Equidistribution: Arithmetic, Computational and Probabilistic Aspects 2019)
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Metric discrepancy results for geometric progressions with small ratios 3/2, 4/3, etc
(Seminar on Number Theory and Algorithm 2017)
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Metric discrepancy results for geometric progressions
(Various aspects of multiple zeta functions 2017)
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Metric discrepancy results for geometric progressions with ratios 3/2, 4/3, 8/3, 10/3, 13/6 and 17/8
(日本数学年会統計数学分科会一般講演 2017)
ｍore...
Education (1)：
- - 1989 京都大学 大学院理学研究科博士後期課程中退
Professional career (2)：
Association Membership(s) (1)：
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