Rchr

J-GLOBAL ID：200901069139784527 Update date: Sep. 08, 2024

Obata Nobuaki

オバタノブアキ | Obata Nobuaki

Affiliation and department：
Job title： Professor

Research field (4)： Basic analysis , Basic mathematics , Applied mathematics and statistics , Statistical science

Research keywords (6)： Stochastic Analysis , Functional Analysis , Networks , Spectral analysis , White noise calculus , Quantum probability

Research theme for competitive and other funds (60)：

2007 - 現在ネットワーク数理の学際的研究
1997 - 現在 Quantum Probability Theory
1990 - 現在 Quantum White Noise Calculus
2023 - 2027 新たな複雑系データのための関数データ解析手法の開発と適用
2023 - 2027 新たな複雑系データのための関数データ解析手法の開発と適用

2019 - 2023 Quantum probability and asymptotic analysis of large finite systems

2016 - 2019 Non-commutative stochastic analysis and mathematical study of networks

2015 - 2018 New development of theory of generalized functionals, an infinite dimensional stochastic analysis and applications to theory of quantum dynamical system

2014 - 2017 Interdisciplinary Approach to mathematical network theory

2014 - 2017 Quantum probabilistic analysis of dynamics on complex networks

2012 - 2017 Discrete Geometric Analysis for Quantum Spin System

2012 - 2015 New developments on quantum information theory by an infinite dimensional stochastic analysis and applications to dynamical system theory

2011 - 2015 Quantum stochastic analysis - Transforms and spectral analysis

2011 - 2014 Non-perturbative spectral analysis of quantum system by stochastic method

2011 - 2013 Spectral analysis of complex networks and modeling methods by statistics

2011 - 2013 Study on decomposition of unitary representations of groups and harmonic functions on branching graphs

2009 - 2012 New development of harmonic maps

2009 - 2011 Generalizations of infinite dimensional Laplacians, construction methods of stochastic processes and developments in quantum information analysis

2008 - 2010 Quantum Probability Theory and Infinite Dimensional Analysis

2008 - 2010 Non-perturbative analysis of quantum interaction systems

2007 - 2010 Integrated study of probability and representation theory towards harmonic analysis on huge groups

2007 - 2009 ランダムグラフの量子確率論的スペクトル解析

2007 - 2008 Constructive research on infinite dimensional stochastic Processes and its applications to quantum information analysis

2005 - 2008 Study of free probability and operator algebras based on random matrices

2005 - 2008 Mathematical study of quantum information and quantum computing

2004 - 2007 Spectral Analysis of infinite grapgs with discrete group actions

2004 - 2006 Global analysis of the heat kernels on Riemannian manifolds and graphs

2003 - 2005 Nonlinear theory of quantum white noise and its non-Gaussian extension

2002 - 2004 Mathematical Research of Quantum Information and Quantum Computing

2002 - 2003 Study of noncommutative analysis and free probability theory on operator algebras

2002 - 2003 代数的確率論における組合せ数学

2001 - 2003 凸体の幾何とファジー力学系

2001 - 2003 Global Analysis of the heat kernel and Green kernel of an Infinite Graph

1998 - 2002 Information Analysis of Symbolic sequences

2000 - 2002 Quantum white noise and nonlinear infinite dimensional analysis

1999 - 2002 Analytic Integral and its applications

2001 - 2001 新しい統計科学としての量子情報論

2001 - 2001 二次元色彩化によるゲノムデータベースの解析

2000 - 2000 二次元色彩化によるゲノムデータベースの解析

1999 - 2000 配列情報の基礎数理

1999 - 2000 Establishment of paternity test system in Japan

1998 - 2000 Integrated Research on Equilibrium Random Phenomena

1997 - 1999 Quantum White Noise and Infinite Dimensional Harmonic Analysis

1996 - 1999 Studies of Turbulence as a Nonlinear Science

1997 - 1998 Infinite Dimensional Analysis and Quantum Probability Theory

1997 - 1997 無限次元解析と量子確率

1997 - 1997 DNA塩基配列の二次元パターン化による解析

1996 - 1997 Research of stochastic processes on fractals.

1996 - 1996 量子確率過程の超関数論的研究

1996 - 1996 q差分属と接続行列

1994 - 1996 Stochastic processes with applications to statistical mechanics

1995 - 1995 ホワイトノイズによる量子確率解析とその応用

1993 - 1993 ホワイトノイズ解析と量子確率論

1990 - 1990 解析的容量の研究

1989 - 1990 Stochastic Analysis and Quantum Field Theory

1989 - 1989 ホワイトノイズ解析と確率場

1988 - 1988 無限次元回転群とヒルベルト空間上の調和解析

1987 - 1987 多次元パラメーターの確率場の表現とその応用

1986 - 1986 無限離散群の表現論

1985 - 1985 無限次元群の表現論

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Papers (139)：

Nobuaki Obata. Quantum probability approach to spectral analysis of growing graphs. Groups and Graphs, Designs and Dynamics (R. A. Bailey, Peter J. Cameron and Yaokun Wu, Eds.). 2024. 87-175
Edy Tri Baskoro, Nobuaki Obata. A classification of graphs through quadratic embedding constants and clique graph insights. Communications in Combinatorics and Optimization. 2024
Nobuaki Obata. Complete multipartite graphs of non-QE class. Electronic Journal of Graph Theory and Applications. 2023. 11. 2. 511-527
Nobuaki OBATA. Primary Non-QE Graphs on Six Vertices. Interdisciplinary Information Sciences. 2023. 29. 2. 141-156
Zhenzhen Lou, Nobuaki Obata, Qiongxiang Huang. Quadratic Embedding Constants of Graph Joins. Graphs and Combinatorics. 2022. 38. 5

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MISC (11)：

Obata Nobuaki. On Overcompleteness of Coherent Vectors (Analytical Study of Quantum Information and Related Fields). RIMS Kokyuroku. 2001. 1196. 63-77
OBATA NOBUAKI. Quantum Stochastic Process as Continuous Flow of Fock Space Operators. RIMS Kokyuroku. 1997. 982. 196-208
OBATA NOBUAKI. Wick Product of White Noise Operators and Its Application to Quantum Stochastic Differential Equations(Quantum Stochastic Analysis and Related Fields). RIMS Kokyuroku. 1996. 957. 167-185
ACCARDI LUIGI, LU YUN-GANG, OBATA NOBUAKI. Towards a Non-linear Extension of Stochastic Calculus(Quantum Stochastic Analysis and Related Fields). RIMS Kokyuroku. 1996. 957. 1-15
OBATA NOBUAKI. CONDITIONAL EXPECTATION IN CLASSICAL AND QUANTUM WHITE NOISE CALCULI(Analysis of Operators on Gaussian Space and Quantum Probability Theory). RIMS Kokyuroku. 1995. 923. 154-190

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Patents (2)：

記号列の特徴顕在化方法
Method and Apparatus for Revealing Latent Characteristics Existing in Symbolic Sequences

Books (16)：

Pythonで学ぶ確率統計
共立出版 2023 ISBN:9784320125216
量子確率論の基礎(復刊)
オーム社 2021 ISBN:9784274227578
Probability and Statistics for Data Science
2021 ISBN:9784320125186
集合・写像・数の体系 - 数学リテラシ-として
牧野書店 2019 ISBN:9784434256936
Spectral Analysis of Growing Graphs - A Quantum Probability Point of View
Springer 2017

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Lectures and oral presentations (117)：

A quantitative approach to quadratic embedding constants of graphs
(The 7th Tunisian-Japanese Conference: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications)
On quadratic embedding constants of graphs
(The 25th Indonesia-Japan Conference on Discrete and Computational Geometry, Graphs and Games (IJCDCG3 2023))
Positivity of Q-matrices and quadratic embedding constants of graphs
(10th International Congress on Industrial and Applied Mathematics (ICIAM2023))
Quadratic embedding of graphs and positivity of their Q-matrices
(Workshop on Quantum Probability and Infinite Dimensional Analysis in honor of Professor Hui-Hsiung Kuo 2023)
Positive definite Q-matrices and primary non-QE graphs
(19th Workshop: Noncommutative Probability, Noncommutative Harmonic Analysis and Related Topics, with Applications 2022)

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Professional career (2)：

Doctor of Science (Nagoya University)
Master of Science (Kyoto University)

Work history (3)：

2023/04 - 現在 Tohoku University Center for Data-driven Science and Artificial Intelligence
2022/04 - 現在 Tohoku University
2001/04 - 2023/03 Tohoku University Graduate School of Information Sciences Professor

Committee career (7)：

2021/11 - 現在 JST ムーンショット型研究開発事業数理科学分科会委員
2020/06 - 現在 JST ムーンショット型研究開発事業目標3アドバイザー
2013/04 - 現在九州大学マス・フォア・インダストリ研究所産業数学の先進的・基礎的共同研究拠点共同利用・共同研究委員会委員
2010/01 - 現在 Complex Analysis and Operator Theory Editor
2005/10 - 現在筑波大学北アフリカ研究センター客員研究員

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Awards (1)：

1998/10 - ロレアル・アート・アンド・サイエンス財団ロレアル・アート・アンド・サイエンス奨励賞

Association Membership(s) (3)：

International Association of Infinite Dimensional Analysis and Quantum Probability , International Association of Mathematical Physics , 日本数学会

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