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J-GLOBAL ID：201901001563398606   Update date: Nov. 27, 2024

Morita Takehiko

モリタ タケヒコ | Morita Takehiko
Affiliation and department：
OtemonGakuinUnversity

About OtemonGakuinUnversity


Job title： Professor
Research field  (1)： Basic analysis
Research keywords  (3)： Ergodic Theory ,  Dynamical Systems ,  probability theory
Research theme for competitive and other funds  (36)：
  • 2017 - 2022 力学系のエルゴード理論的挙動に付随する様々な極限定理とその応用に関する研究
  • 2012 - 2016 Recent progress in ergodic theory of number theoretic algorithms
  • 2010 - 2015 Research on limit theorems for random sequences arising from number theory
  • 2009 - 2011 An ergodic study of algorithms
  • 2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
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Papers (37)：
  • T. Morita. Ergodic properties of random dynamical systems via natural extensions of noise transformation. RIMS Kokyuroku. 2022. 2217. 100-117
  • Takehiko Morita. Sample-wise central limit theorem with deterministic centering for nonsingular random dynamical systems. 2021. 2176. 144-152
  • Takehiko Morita. An alternative proof of the uniqueness of martingale-coboundary decomposition of strictly stationary processes. Comment. Math. Univ. Carolin. 2019. 60. 415-419
  • T. Ikeda, T. Morita. Central limit theorem of mixed type for transformations with quasi-compact Perron-Frobenius operators. Kyushu J. Math. 2017. 71. 1. 31-64
  • T. Morita, K. Suzaki. Central limit theorem for leafwise Brownian motions on mapping tori. Tokyo J. Math. 2015. 38. 15-44
ｍore...
MISC (2)：
  • Takehiko Morita. Stochastic analogues of ergodic theory of differentiable dynamical systems and related topics. 2023. 2270. 1-13
  • Morita Takehiko. Asymptotic behavior of one-dimensional random dynamical systems : a revisi (The Theory of Random Dynamical Systems and its Applications). RIMS Kokyuroku. 2015. 1942. 31-43
Books (2)：
  • 実解析と測度論の基礎
    培風館 2004 ISBN:9784563006488
  • A fluctuation theorem for solutions of certain random evolution equations
    1988
Lectures and oral presentations  (49)：
  • Ergodic theory of Rauzy inductions and their 'renormalizations'
    (2024)
  • Ergodic properties of random rotations with mixing Lasota-Yorke noise
    (Research on random, non-autonomous and multi-valued dynamical systems 2024)
  • 混合的Lasota-Yorkeノイズをもったランダム回転
    (2024)
  • ガウス変換の2回反復合成の一般化
    (2024)
  • Transfer operators on expedient Banach algebras for piecewise expanding fibred systems I, II, III (series of lectures)
    (Recent Progress in Ergodic Theory 2022)
ｍore...
Works (1)：
  • Lasota-Yorke 変換に関する極限定理と transfer operator
    盛田健彦 1991 -
Education (1)：
  • 1983 - 1987 Osaka University Graduate School, Division of Natural Science
Professional career (1)：
  • 理学博士 (大阪大学)
Work history (8)：
  • 2024/04 - 現在 Otemon Gakuin University
  • 2009/04 - 2024/03 大阪大学 大学院理学研究科 教授
  • 2001/04 - 2009/03 広島大学 大学院理学研究科 教授
  • 1998/04 - 2001/03 東京工業大学 大学院理工学研究科 助教授
  • 1994/04 - 1998/04 東京工業大学 理学部 助教授
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Association Membership(s) (1)：
日本数学会
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