Details of a Researcher - Atsuji, Atsushi

Atsuji, Atsushi

写真a

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

Position: Professor

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Career 【 Display / hide 】

1989.10

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1992.03

東京大学教養学部基礎科学科 ,助手
1992.04

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1995.03

東京大学大学院数理科学研究科 ,助手
1995.04

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2001.03

大阪大学大学院理学研究科 ,講師
2001.04

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2004.03

大学助教授(経済学部)
2004.04

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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

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Academic Degrees 【 Display / hide 】

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

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Books 【 Display / hide 】

フーリエ解析大全[演習編]上／下

ATSUJI ATSUSHI, 朝倉書店, 2003.03

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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

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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。

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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

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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.
- Access to Document (DOI)
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

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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.
- Access to Document (DOI)
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
- Access to Document (DOI)
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

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© 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.
- Access to Document (DOI)
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 】

Recent progress in ergodic theory of number theoretic algorithms

Atsuji, Atsushi

科学研究費補助金研究成果報告書 2015
Value distribution theory of meromorphic functions based on diffusion processes

Atsuji, Atsushi

科学研究費補助金研究成果報告書 2014
Basic research for renormalization group oriented stochastic analysis

Atsuji, Atsushi

科学研究費補助金研究成果報告書 2013
An ergodic study of algorithms

Atsuji, Atsushi

科学研究費補助金研究成果報告書 2012
On asymptotic behaviors of stochastic processes in random environments and properties of random environments

Atsuji, Atsushi

科学研究費補助金研究成果報告書 2011

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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

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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

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2020.03

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