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
    -
    2016.03

    大学教授(経済学部)

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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

  • A Chip-Firing and a Riemann-Roch Theorem on an Ultrametric Space

    Atsuji A., Kaneko H.

    Springer Proceedings in Mathematics and Statistics (Springer Proceedings in Mathematics and Statistics)  394   23 - 43 2022

    ISSN  21941009

     View Summary

    A Riemann-Roch theorem on an edge-weighted infinite graph with local finiteness was established by the present authors in [1], where the spectral gap of Laplacian associated determined by the edge-weight was investigated as the corner stone of the proof. On the other hand, as for non-archimedean metric space, the Laplacians in the construction of Hunt processes such as in [3, 5] based on the Dirichlet space theory can be highlighted. However, in those studies, a positive edge-weight was given substantially between each pair of balls with an identical diameter with respect to the ultrametric and the spectral gap is infeasible. In the present article, we rethink the notion of chip-firing and show an upper bound of function given by accumulation of chip-firing to materialize a counterpart of the dimension of linear system in ultrametric space. In the final section of this article, we establish a Riemann-Roch theorem on an ultrametric space.

  • Default functions and Liouville type theorems based on symmetric diffusions

    Atsuji A.

    Journal of the Mathematical Society of Japan (Journal of the Mathematical Society of Japan)  73 ( 2 ) 525 - 551 2021.04

    ISSN  00255645

     View Summary

    Default functions appear when one discusses conditions which ensure that a local martingale is a true martingale. We show vanishing of default functions of Dirichlet processes enables us to obtain Liouville type theorems for subharmonic functions and holomorphic maps.

  • A Riemann-Roch Theorem on Infinite Graphs

    Atsushi Atsuji, Hiroshi Kaneko

    Advances in Non-Archimedean Analysis and Applications (Springer)     297 - 312 2021

    Research paper (international conference proceedings), Joint Work, Accepted

  • 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

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

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Presentations 【 Display / hide

  • 古典的関数論の離散類似における確率論的側面 - リーマン・ロッホの定理とネヴァンリンナ理論 -

    厚地 淳

    関西大学 確率論研究会2, 

    2022.01

    Oral presentation (invited, special)

  • 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)

  • Variations on the second main theorem of Nevanlinna

    厚地 淳

    「等角写像論・値分布論」合同研究集, 

    2019

    Oral presentation (invited, special)

  • 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 (invited, 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 (invited, special)

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

  • Nevanlinna theory and default functions on general spaces

    2021.04
    -
    2025.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Principal investigator

  • 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, Grant-in-Aid for Challenging Research (Exploratory) , Principal investigator

 

Courses Taught 【 Display / hide

  • TOPICS IN LIFE INSURANCE MATHEMATICS

    2023

  • THEORY OF FUNCTIONS 2

    2023

  • PROBABILITY THEORY 2

    2023

  • MATHEMATICS 1B

    2023

  • MATHEMATICS 1A

    2023

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Courses Previously Taught 【 Display / hide

  • 確率論第2

    Keio University

    2017.04
    -
    2018.03

  • 実解析第2同演習

    Keio University

    2017.04
    -
    2018.03

  • 数学1A, B

    Keio University

    2017.04
    -
    2018.03

    Lecture, Within own faculty

  • 総合教育セミナー

    Keio University

    2016.04
    -
    2017.03

  • 確率論第2

    Keio University

    2016.04
    -
    2017.03

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Memberships in Academic Societies 【 Display / hide

  • 日本数学会

     

Committee Experiences 【 Display / hide

  • 2022.03
    -
    Present

    統計数学分科会連絡責任評議員, 日本数学会

  • 2021
    -
    Present

    数学メモワール編集委員, 日本数学会

  • 2018
    -
    2022.02

    統計分科会運営委員, 日本数学会

  • 2017.03
    -
    2019.02

    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

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