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J-GLOBAL ID：200901078721660980
Update date: Feb. 01, 2024
Shirai Tomoyuki
シライ トモユキ | Shirai Tomoyuki
Affiliation and department：
Job title：
associate professor
Other affiliations (1)：
-
特定国立研究開発法人理化学研究所 AIP
客員研究員
Homepage URL (1)：
http://imi.kyushu-u.ac.jp/~shirai
Research field (4)：
Basic analysis
, Mathematical analysis
, Applied mathematics and statistics
, Basic mathematics
Research keywords (5)：
Determinantal random fields
, Determinantal point processes
, Random topology
, Point process theory
, Probability theory
Research theme for competitive and other funds (42)：
- 2022 - 2027 Establishing data descriptive science and its cross-disciplinary applications
- 2021 - 2026 Development, evolution, and new development of stochastic analysis of infinite particle systems
- 2020 - 2024 Randomization of persistent homology and its interaction with Schubert calculus
- 2020 - 2023 Determinantal point fields and machine learning
- 2018 - 2023 Analysis of random phenomena and its applications from the viewpoint of determinantal point processes
- 2018 - 2022 行列式点過程の視点によるランダム現象の解析とその応用
- 2016 - 2021 Stochastic Analysis on Infinite Particle Systems
- 2017 - 2020 Percolation from the view point of homology theory
- 2016 - 2019 New developments on the freeness and topology of hyperplane arrangements, and random walks
- 2017 - 2019 ホモロジー論的視点からのパーコレーションの高次元化の研究
- 2014 - 2018 Determinantal processes and their generalizations
- 2016 - 2017 無限粒子系とランダム行列の確率解析
- 2014 - 2017 Random graph and persistent homology
- 2013 - 2017 Stochastic processes on disordered media -- discrete models and their scaling limits
- 2014 - 2017 行列式過程とその一般化に関する研究
- 2013 - 2016 Performance evaluation of wireless communication networks using spatial point processes
- 2012 - 2016 Stochastic geometry and dynamics of infinite particle systems interacting with two-dimensional Coulomb potential
- 2014 - 2016 ランダムグラフとパーシステントホモロジー
- 2012 - 2015 A new development of stochastic differential geometry associated with degenerate differential operators
- 2010 - 2015 Research on limit theorems for random sequences arising from number theory
- 2010 - 2014 Study on stochastic processes with determinantal structure
- 2010 - 2013 行列式構造をもつ確率過程の研究
- 2009 - 2011 Infinite-dimensional stochastic dynamical systems motivated by random matrices and statistical physics
- 2007 - 2010 Theory of stochastic analysis and its applications
- 2007 - 2010 Theory of Painleve systems and its new development
- 2006 - 2009 Zero processes of random analytic functions
- 2005 - 2008 Comprehensive and integrated research of problems motivated by statistical mechanics with stochastic analysis
- 2004 - 2006 ASYMPTOTICAL ANALYSIS FOR EXPONENTIAL FUNCTIONALS IN INFINITE DIMENSIONAL STOCHASTIC MODELS
- 2003 - 2005 Convergence of metric measure spaces and energy forms
- 2003 - 2005 Analysis of substitution and its application
- 2003 - 2005 フェルミオン・ボゾンランダム場の一般化に関する研究
- 2002 - 2005 A study of stochastic analysis - synthesizing and integrating
- 2002 - 2004 Integrated research of Probability Theory
- 2001 - 2003 Aspects of large deviation principles
- 2001 - 2003 MATEMATICAL ANALYSIS OF INFINITE DIMENSIONAL STOCHASTIC MODELS
- 2001 - 2002 確率論のスペクトル論的研究
- 1999 - 2001 Problems of Hydrodynamic Limits and Related Subjects
- 1999 - 2000 Analysis of Infinite-dimensional Markovian Models
- 1999 - 2000 確率論とスペクトル理論の融合的研究(ランダム行列とランダムウォークへの応用)
- 1998 - 1999 Ergodic theoretical approach to classical dynamical systems appearing in probability theory and complex analysis
- 1998 - 1998 熱方程式の基本解の漸近展開とグッツウィラー跡公式
- fermion random fields
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Papers (49)：
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Makoto Katori, Tomoyuki Shirai. Local universality of determinantal point processes on Riemannian manifolds. Proc. Japan Acad. Ser. A Math. Sci. 2022. 98. 10. 95-100
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Makoto Katori, Tomoyuki Shirai. Partial isometries, duality, and determinantal point processes. Random Matrices: Theory and Applications. 2022. 11. 03
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Hirofumi Osada, Tomoyuki Shirai. Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process (Probability Theory and Related Fields, (2016), 165, 3-4, (725-770), 10.1007/s00440-015-0644-6). Probability Theory and Related Fields. 2022. 183. 1-2. 679-680
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Kohei Noda, Tomoyuki Shirai. Expected Number of Zeros of Random Power Series with Finitely Dependent Gaussian Coefficients. Journal of Theoretical Probability. 2022
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Yasuaki Hiraoka, Hiroyuki Ochiai, Tomoyuki Shirai. Zeta functions of periodic cubical lattices and cyclotomic-like polynomials. Advanced Studies in Pure Mathematics. 2020. 84. 93-121
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MISC (44)：
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Takato Matsui, Makoto Katori, Tomoyuki Shirai. Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes. 2020
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Subhro Ghosh, Naoto Miyoshi, Tomoyuki Shirai. Disordered complex networks: energy optimal lattices and persistent homology. 2020
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Makoto Katori, Tomoyuki Shirai. Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes. 2020
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Makoto Katori, Tomoyuki Shirai. Partial Isometries, Duality, and Determinantal Point Processes. 2019
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A finite difference approximation for the variational inequality arising in a river cleaning up problem. 2018. 23. 6p
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Patents (1)：
Books (7)：
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Workshop on "β-transformation and related topics"
Institute of Mathematics for Industry, Kyushu University, Graduate School of Mathematics, Kyushu University 2015
-
Workshop on "Probabilistic models with determinantal structure"
九州大学マス・フォア・インダストリ研究所 : 九州大学大学院数理学府 2015
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科学・技術の研究課題への数学アプローチ : 数学モデリングの基礎と展開
九州大学マス・フォア・インダストリ研究所 : 九州大学大学院数理学研究院グローバルCOEプログラム「マス・フォア・インダストリ教育研究拠点」 2013
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マルコフ連鎖と混合時間
東北大学大学院理学研究科 2008
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Spectral analysis and trace formula for discrete Schrödinger operators = 離散的シュレーディンガ-作用素に対するスペクトル解析と跡公式
東京大学数理科学研究科 1996
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Lectures and oral presentations (32)：
-
α行列式点過程のポアソン表現
(2023)
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Enumeration of connected bipartite graphs with given Betti number
(2023)
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Correlations between zeros of Gaussian polyanalytic functions
(2022)
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行列式点過程の数理とその応用 -ランダム行列から機械学習へ-
(2022)
-
Zeros of the i.i.d. Gaussian Laurent series on an annulus
(2022)
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Education (5)：
- 1996 - 1996 The University of Tokyo Graduate School of Mathematical Sciences
- 1992 - 1996 The University of Tokyo Graduate School of Mathematical Sciences
- 1991 - 1992 東京大学大学院 理学系研究科 相関理化学専攻
- 1989 - 1991 The University of Tokyo The Faculty of Engineering Department of Mathematical Engineering and Information Physics
- 1987 - 1989 The University of Tokyo
Professional career (1)：
- (BLANK) (The University of Tokyo)
Work history (7)：
- 2011/04 - 現在 Kyushu University
- 2009/04 - 2011/03 Kyushu University Faculty of Mathematics
- 2007/04 - 2009/03 Kyushu University Faculty of Mathematics
- 2004/04 - 2007/03 Kyushu University Faculty of Mathematics
- 2002/04 - 2004/03 Kanazawa University Faculty of Science, Department of Computational Science
- 1998/09 - 2002/03 Tokyo Institute of Technology Science of Engineering, Mathematics
- 1996/05 - 1998/08 Kyoto University Research Institute for Mathematical Sciences
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Awards (1)：
Association Membership(s) (1)：
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