Rchr
J-GLOBAL ID：201901001563398606   Update date: Apr. 15, 2024

Morita Takehiko

モリタ タケヒコ | Morita Takehiko
Affiliation and department：
Otemon Gakuin University

About Otemon Gakuin University


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 (1)：
  • 実解析と測度論の基礎
    培風館 2004 ISBN:9784563006488
Lectures and oral presentations  (44)：
  • Stochastic analogues of ergodic theory of differentiable dynamical systems and related topics
    (Perspectives of studies on random/non-autonomous dynamical systems: theory and applications 2022)
  • Ergodic properties of nonsingular random dynamical systems via natural extensions of noise transformations
    (ランダム力学系と多価写像力学系理論の総合的研究 2021)
  • Direct products of nonsingular random dynamical systems
    (エルゴード理論とその周辺 2019)
  • Sample-wise central limit theorem with deterministic centering for nonsingular random dynamical systems
    (Research on the Theory of Random Dynamical Systems and Fractal Geometry 2019)
  • The metric theory of renormalized Rauzy-Veech-Zorich inductions
    (リーマン面・不連続群 2019)
ｍore...
Work history (1)：
  • 2024/04 - 現在 Otemon Gakuin University
Association Membership(s) (1)：
日本数学会
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