Atsuji, Atsushi

写真a

Affiliation

Faculty of Science and Technology, Department of Mathematics (Yagami)

Position

Professor

External Links

Career 【 Display / hide

  • 1989.10
    -
    1992.03

    東京大学教養学部基礎科学科 ,助手

  • 1992.04
    -
    1995.03

    東京大学大学院数理科学研究科 ,助手

  • 1995.04
    -
    2001.03

    大阪大学大学院理学研究科 ,講師

  • 2001.04
    -
    2004.03

    大学助教授(経済学部)

  • 2004.04
    -
    Present

    大学教授(経済学部)

Academic Background 【 Display / hide

  • 1986.03

    The University of Tokyo, Faculty of Science

    University, Graduated

  • 1988.03

    The University of Tokyo, Graduate School, Division of Science, 数学専攻

    Graduate School, Completed, Master's course

  • 1989.09

    The University of Tokyo, Graduate School, Division of Science, 数学専攻

    Graduate School, Withdrawal before completion

Academic Degrees 【 Display / hide

  • 博士(数理科学), The University of Tokyo, 1994.12

 

Books 【 Display / hide

  • フーリエ解析大全[演習編]上/下

    ATSUJI ATSUSHI, 朝倉書店, 2003.03

     View Summary

    ケルナー著フーリエ解析大全の演習編

  • 現代数学序説II

    ATSUJI ATSUSHI, 大阪大学出版会, 1998.10

    Scope: 第4章

     View Summary

    現代数学の各分野に対する平易な入門を意図する。測度論・確率論分野を担当。

Papers 【 Display / hide

  • Nevanlinna-Type theorems for meromorphic functions on non-positively curved Kähler manifolds

    Atsuji A.

    Forum Mathematicum (Forum Mathematicum)  30 ( 1 ) 171 - 189 2018

    Research paper (scientific journal), Accepted,  ISSN  09337741

     View Summary

    © 2017 Walter de Gruyter GmbH, Berlin/Boston 2018. We give a second main theorem of Nevanlinna theory on complete non-positively curved Kähler manifolds. Its remainder term depends only on Ricci curvature of the manifolds except for the terms depending only on the characteristic functions.

  • Value distribution of leafwise holomorphic maps on complex laminations by hyperbolic Riemann surfaces

    ATSUJI ATSUSHI

    J. Math. Soc. Japan 69 ( 2 ) 1 - 25 2017

    Research paper (scientific journal), Single Work, Accepted

  • The submartingale property and Liouville type theorems

    ATSUJI ATSUSHI

    manuscripta mathematica (Springer)  154 ( 1 ) 129 - 146 2017

    Research paper (scientific journal), Single Work, Accepted

  • Leafwise Brownian Motions and Some Function Theoretic Properties of Laminations

    ATSUJI ATSUSHI

    Potential Analysis (Springer)  48 ( 1 ) 85 - 113 2017

    Research paper (scientific journal), Single Work, Accepted,  ISSN  09262601

     View Summary

    © 2017, Springer Science+Business Media Dordrecht. We discuss the value distribution of Borel measurable functions which are subharmonic or meromorphic along leaves on laminations. They are called leafwise subharmonic functions or meromorphic functions respectively. We consider cases that each leaf is a negatively curved Riemannian manifold or Kähler manifold. We first consider the case when leaves are Riemannian with a harmonic measure in L.Garnett sense. We show some Liouville type theorem holds for leafwise subharmonic functions in this case. In the case of laminations whose leaves are Kähler manifolds with some curvature condition we consider the value distribution of leafwise meromorphic functions. If a lamination has an ergodic harmonic measure, a variant of defect relation in Nevanlinna theory is obtained for almost all leaves. It gives a bound of the number of omitted points by those functions. Consequently we have a Picard type theorem for leafwise meromorphic functions.

  • ブラウン運動と複素解析

    ATSUJI ATSUSHI

    数理科学 (サイエンス社)   2014

display all >>

Papers, etc., Registered in KOARA 【 Display / hide

display all >>

Presentations 【 Display / hide

  • 破綻関数と劣調和関数の解析II

    厚地 淳

    マルコフ過程とその周辺, 2019.01, Oral Presentation(general)

  • Default functions and value distribution of holomorphic maps

    Atsushi Atsuji

    Tokyo one-day workshop on stochastic analysis and geometry (東京大学) , 2018.11, Oral Presentation(guest/special)

  • Leafwise Brownian motions and some function theoretic properties of laminations

    Atsushi Atsuji

    Regularity Structures and Stochastic Systems (中国科学院) , 2018.07, Oral Presentation(guest/special)

  • Leafwise Brownian motion

    ATSUJI ATSUSHI

    慶應確率論ワークショップ, 2018.03, Oral Presentation(guest/special)

  • Value distribution of holomorphic maps on negatively curved manifolds and some hyperbolic manifolds

    ATSUJI ATSUSHI

    Geometry and Probability (Aoba Science Hall, Complex C, 2F, Aobayama Campus, Tohoku University) , 2018.01, Oral Presentation(guest/special)

display all >>

Research Projects of Competitive Funds, etc. 【 Display / hide

  • 確率論的手法を用いた幾何学的関数論の新展開

    2017.06
    -
    2020.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, 厚地 淳, Grant-in-Aid for Challenging Research (Exploratory) , Principal Investigator

 

Courses Taught 【 Display / hide

  • TOPICS IN PROBABILITY THEORY A

    2020

  • TOPICS IN LIFE INSURANCE MATHEMATICS

    2020

  • THEORY OF FUNCTIONS 2

    2020

  • PROBABILITY THEORY 2

    2020

  • PRACTICE IN TEACHING 2

    2020

display all >>

Courses Previously Taught 【 Display / hide

  • 確率論第2

    Keio University, 2017

  • 実解析第2同演習

    Keio University, 2017

  • 数学1A, B

    Keio University, 2017, Lecture, Within own faculty

  • 総合教育セミナー

    Keio University, 2016

  • 確率論第2

    Keio University, 2016

display all >>

 

Memberships in Academic Societies 【 Display / hide

  • 日本数学会

     

Committee Experiences 【 Display / hide

  • 2018
    -
    Present

    統計分科会運営委員, 日本数学会

  • 2017.03
    -
    Present

    地方区代議員, 日本数学会

  • 2012
    -
    2014

    統計分科会運営委員, 日本数学会

  • 2010.06
    -
    2012.05

    国家公務員採用Ⅰ種試験 試験専門委員, 人事院

  • 2006.07
    -
    2008.06

    雑誌「数学」常任編集委員, 日本数学会

display all >>