Rchr
J-GLOBAL ID：200901069139784527
Update date: Jan. 31, 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 (59)：
- 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
- 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 (136)：
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Nobuaki OBATA. Primary Non-QE Graphs on Six Vertices. Interdisciplinary Information Sciences. 2023. 29. 2. 141-156
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Zhenzhen Lou, Nobuaki Obata, Qiongxiang Huang. Quadratic Embedding Constants of Graph Joins. Graphs and Combinatorics. 2022. 38. 5
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Masoumeh Koohestani, Nobuaki Obata, Hajime Tanaka. Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters. Symmetry, Integrability and Geometry: Methods and Applications. 2021. 17. 104-104
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Edy Tri Baskoro, Nobuaki Obata. Determining finite connected graphs along the quadratic embedding constants of paths. Electronic Journal of Graph Theory and Applications. 2021. 9. 2. 539-539
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Ameur Dhahri, Nobuaki Obata, Hyun Jae Yoo. Multivariate orthogonal polynomials: Quantum decomposition, deficiency rank and support of measure. Journal of Mathematical Analysis and Applications. 2020. 485. 1. 123775-123775
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MISC (11)：
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Obata Nobuaki. On Overcompleteness of Coherent Vectors (Analytical Study of Quantum Information and Related Fields). RIMS Kokyuroku. 2001. 1196. 63-77
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OBATA NOBUAKI. Quantum Stochastic Process as Continuous Flow of Fock Space Operators. RIMS Kokyuroku. 1997. 982. 196-208
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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
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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
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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
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Method and Apparatus for Revealing Latent Characteristics Existing in Symbolic Sequences
Books (15)：
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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
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Spectral Analysis of Growing Graphs - A Quantum Probability Point of View
Springer 2017
-
数理統計学の基礎
共立出版 2014 ISBN:9784320111189
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Lectures and oral presentations (114)：
-
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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Some recent results on quadratic embedding constants of graphs
(International Conference on Graph Theory and Information Security V2022 2022)
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Asymptotic spectral distributions for growing distance-regular graphs
(AMS Spring Eastern Virtual Sectional Meeting: Special Session on Quantum Probability, Orthogonal Polynomials, and Special Functions 2022)
-
Quadratic embedding constants of graphs
(International Conference on Mathematics, Geometry, Statistics, and Computation (IC-MaGeStiC) 2021 2021)
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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
- 2002/01 - 現在 Stochastic Analysis and Applications Editor
- 1998/01 - 現在 Infinite Dimensional Analysis, Quantum Probability and Related Topics Associate Editor
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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
