Quantum stochastic analysis - Transforms and spectral analysis

• Project/Area Number: 23340027
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Tohoku University
• Principal Investigator: OBATA Nobuaki 東北大学, 情報科学研究科, 教授 (10169360)
• Co-Investigator(Kenkyū-buntansha): FUKUIZUMI Reika 東北大学, 大学院情報科学研究科, 准教授 (00374182) ; HASEGAWA Takehisa 東北大学, 大学院情報科学研究科, 助教 (10528425) ; SEGAWA Etsuo 東北大学, 大学院情報科学研究科, 准教授 (30634547) ; KUBO Hideo 北海道大学, 大学院理学研究院, 教授 (50283346) ; HIAI Fumio 東北大学, 名誉教授 (30092571) ; SUZUKI Kanako 茨城大学, 理学部, 准教授 (10451519)
• Project Period (FY): 2011-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000); Fiscal Year 2014: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2013: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2012: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2011: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
• Keywords: 関数解析 / 量子確率論 / 無限次元解析 / 複雑ネットワーク / スペクトル解析 / フォック空間 / 量子ホワイトノイズ / 量子確率過程 / 関数解析学

Outline of Final Research Achievements

For the development of quantum stochastic analysis we focused on 'quantum white noise calculus' from analytic aspect and 'spectral analysis of complex networks' from algebraic aspect. We aimed at the establishment of the mathematical fundamentals and the paradigm for collaborating with other research fields for applications. By means of quantum white noise calculus, the Bogoliubov transform and the Girsanov transform are characterized by the white noise differential equations of new types. A quantum probabilistic method is applied to the spectral analysis of digraphs such as Manhattan product. The phase transition of various dynamics on networks is studied in detail with the help of numerical computation. New statistical properties of quantum walks on graphs such as localization are obtained by generalizing the existing method of spectral analysis.

Research Products

• [Journal Article] Stationary states for nonlinear Schroedinger equation with periodic potential (2014)
  • Author(s): Reika Fukuizumi and Andrea Sacchetti
  • Journal Title: J. Stat. Phys. Volume: 156 Issue: 4 Pages: 707-738
  • DOI: 10.1007/s10955-014-1023-x
  • Peer Reviewed
• [Journal Article] Discontinuous transition of a multistage independent cascade model on networks (2014)
  • Author(s): Takehisa Hasegawa and Koji Nemoto
  • Journal Title: Journal of Statistical Mechanics: Theory and Experiment Volume: 2014 Issue: 11 Pages: P11024-P11024
  • DOI: 10.1088/1742-5468/2014/11/p11024
  • Peer Reviewed
• [Journal Article] Critical Phase in Complex Networks: a Numerical Study (2014)
  • Author(s): Takehisa Hasegawa, Tomoaki Nogawa, and Koji Nemoto
  • Journal Title: Discontinuity, Nonlinearity, and Complexity Volume: 3 Issue: 3 Pages: 319-346
  • DOI: 10.5890/dnc.2014.09.008
  • Peer Reviewed
• [Journal Article] Suppressing epidemics on networks by exploiting observer nodes (2014)
  • Author(s): Taro Takaguchi, Takehisa Hasegawa, and Yuichi Yoshida
  • Journal Title: Physical Review E Volume: 90 Issue: 1
  • DOI: 10.1103/physreve.90.012807
  • Peer Reviewed
• [Journal Article] Transition-type change between an inverted Berezinskii-Kosterlitz-Thouless transition and an abrupt transition in bond percolation on a random hierarchical small-world network (2014)
  • Author(s): Tomoaki Nogawa and Takehisa Hasegawa
  • Journal Title: Physical Review E Volume: 89 Issue: 4
  • DOI: 10.1103/physreve.89.042803
  • Peer Reviewed
• [Journal Article] One-dimensional quantum walks via generating function and the CGMV method (2014)
  • Author(s): Norio Konno, Etsuo Segawa
  • Journal Title: Quantum Information and Computation Volume: 14 Pages: 1165-1186
  • Peer Reviewed
• [Journal Article] Asymptotic spectral distributions of distance-k graphs of Cartesian product graphs (2013)
  • Author(s): Yuji Hibino, Hun Hee Lee, and Nobuaki Obata
  • Journal Title: Colloq. Math. Volume: 132 Issue: 1 Pages: 35-51
  • DOI: 10.4064/cm132-1-4
  • Peer Reviewed
• [Journal Article] Calculating Normal-Ordered Forms in Fock Space by Quantum White Noise Derivatives (2013)
  • Author(s): Un Cig Ji and Nobuaki Obata
  • Journal Title: Interdisciplinary Information Sciences Volume: 19 Issue: 2 Pages: 201-211
  • DOI: 10.4036/iis.2013.201
  • NAID: 110009795569
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed
• [Journal Article] Distance-k graphs of hypercube and q-Hermite polynomials (2013)
  • Author(s): Hun Hee Lee and Nobuaki Obata
  • Journal Title: Infin. Dimens. Anal. Quantum Probab. Relat. Top. Volume: 16 Issue: 02 Pages: 1350011-1350011
  • DOI: 10.1142/s0219025713500112
  • Peer Reviewed
• [Journal Article] Localization of the Grover walks on spidernets and free Meixner laws (2013)
  • Author(s): Norio Konno, Nobuaki Obata, and Etsuo Segawa
  • Journal Title: Comm. Math. Phys. Volume: 322 Issue: 3 Pages: 667-695
  • DOI: 10.1007/s00220-013-1742-x
  • Peer Reviewed
• [Journal Article] Hierarchical scale-free network is fragile against random failure (2013)
  • Author(s): Takehisa Hasegawa and Koji Nemoto
  • Journal Title: Physical Review E Volume: 88 Issue: 6 Pages: 62807-62807
  • DOI: 10.1103/physreve.88.062807
  • NAID: 120005367436
  • Peer Reviewed
• [Journal Article] Profile and scaling of the fractal exponent of percolations in complex networks (2013)
  • Author(s): Takehisa Hasegawa, Tomoaki Nogawa, and Koji Nemoto
  • Journal Title: Europhysics Letters Volume: 104 Issue: 1 Pages: 16006-16006
  • DOI: 10.1209/0295-5075/104/16006
  • Peer Reviewed
• [Journal Article] Observability transitions in correlated networks (2013)
  • Author(s): Takehisa Hasegawa, Taro Takaguchi, and Naoki Masuda
  • Journal Title: Physical Review E Volume: 88 Issue: 4 Pages: 42809-42809
  • DOI: 10.1103/physreve.88.042809
  • Peer Reviewed
• [Journal Article] A note on the discrete-time evolutions of quantum walk on a graph (2013)
  • Author(s): Yu. Higuchi, N. Konno, I. Sato, E. Segawa
  • Journal Title: Journal of Math-for-Industry Volume: 5 Pages: 103-109
  • NAID: 120005372053
  • Peer Reviewed
• [Journal Article] Absence of the non-percolating phase for percolation on the non-planar Hanoi network (2013)
  • Author(s): Takehisa Hasegawa and Tomoaki Nogawa
  • Journal Title: Physical Review E Volume: 87 Issue: 3
  • DOI: 10.1103/physreve.87.032810
  • Peer Reviewed
• [Journal Article] Generalized wave operators for a system of nonlinear wave equations in three space dimensions (2013)
  • Author(s): Hideo Kubo and Koji Kubota
  • Journal Title: Hokkaido Mathematical Journal Volume: 42 Pages: 1-31
  • Peer Reviewed
• [Journal Article] Limit measures of inhomogeneous discrete-time quantum walks in one dimension (2013)
  • Author(s): T. Luczak, N. Konno and E. Segawa
  • Journal Title: Quantum Information and Processing Volume: 12 Pages: 33-53
  • Peer Reviewed
• [Journal Article] Localization of quantum walks induced by recurrence properties of random walks (2013)
  • Author(s): E. Segawa
  • Journal Title: Journal of Computational and Theoretical Nanoscience Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Spectra of Manhattan Products of Directed Paths <i>P</i>_<i>n</i>#<i>P</i>₂ (2012)
  • Author(s): Nobuaki Obata
  • Journal Title: Interdisciplinary Information Sciences Volume: 18 Issue: 1 Pages: 43-54
  • DOI: 10.4036/iis.2012.43
  • NAID: 130001916189
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed
• [Journal Article] Asymptotic spectral distributions of distance k-graphs of large-dimensional hypercubes (2012)
  • Author(s): Nobuaki Obata
  • Journal Title: Banach Center Publications Volume: 96 Pages: 287-292
  • DOI: 10.4064/bc96-0-20
  • Peer Reviewed
• [Journal Article] Manhattan Products of Digraphs: Characteristic polynomials and examples (2012)
  • Author(s): Nobuaki Obata
  • Journal Title: Ann. Funct. Anal. Volume: 3 Pages: 135-143
  • Peer Reviewed
• [Journal Article] One-mode interacting Fock spaces and random walks on graphs (2012)
  • Author(s): Nobuaki Obata
  • Journal Title: Stochastics Volume: 84 Issue: 2-3 Pages: 383-392
  • DOI: 10.1080/17442508.2010.550919
  • Peer Reviewed
• [Journal Article] Stationary problem related to the nonlinear Schrodinger equation on the unit ball (2012)
  • Author(s): Reika Fukuizumi, Fouad Hadj Selem and Hiroaki Kikuchi
  • Journal Title: Nonlinearity Volume: 25 Issue: 11 Pages: 2271-2301
  • DOI: 10.1088/0951-7715/25/11/2993
  • Peer Reviewed
• [Journal Article] Generalized Scaling Theory for Critical Phenomena Including Essential Singularities and Infinite Dimensionality (2012)
  • Author(s): Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
  • Journal Title: Physical Review Letters Volume: 108 Issue: 25
  • DOI: 10.1103/physrevlett.108.255703
  • NAID: 120004710985
  • Peer Reviewed
• [Journal Article] Criticality governed by the stable renormalization fixed point of the Ising model in the hierarchical small-world network (2012)
  • Author(s): Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
  • Journal Title: Physical Review E Volume: 86 Issue: 3
  • DOI: 10.1103/physreve.86.030102
  • NAID: 120004756333
  • Peer Reviewed
• [Journal Article] Lower bounds for the lifespan of solutions to nonlinear wave equations in elasticity (2012)
  • Author(s): Hideo Kubo
  • Journal Title: In "Evolution Equations of Hyperbolic and Schrödinger Type (M. Ruzhansky, M. Sugimoto, and J. Wirth, Editors)" Volume: 1 Pages: 187-212
  • Peer Reviewed
• [Journal Article] Generalized wave operators for a system of nonlinear wave equations in three space dimensions (2012)
  • Author(s): Hideo Kubo
  • Journal Title: Hokkaido Math.J. Volume: (未定)(掲載確定)
  • Peer Reviewed
• [Journal Article] Phase transition without global ordering in a hierarchical scale-free network (2012)
  • Author(s): T.Hasegawa, M.Sato, K.Nemoto
  • Journal Title: Physical Review Volume: E85 Issue: 1
  • DOI: 10.1103/physreve.85.017101
  • NAID: 120003762643
  • Peer Reviewed
• [Journal Article] Markov product of positive definite kernels and applications to Q-matrices of graph products (2011)
  • Author(s): Nobuaki Obata
  • Journal Title: Colloq.Math. Volume: 122 Pages: 177-184
  • Peer Reviewed
• [Journal Article] A note on convolution operators in white noise calculus (2011)
  • Author(s): Nobuaki Obata, Habib Ouerdiane
  • Journal Title: Infin.Dimen.Anal.Quantum Probab.Rel.Top. Volume: 14 Issue: 04 Pages: 661-674
  • DOI: 10.1142/s0219025711004535
  • Peer Reviewed
• [Journal Article] Operator log-convex functions and operator means (2011)
  • Author(s): T. Ando and F. Hiai
  • Journal Title: Math. Ann Volume: 350 Issue: 3 Pages: 611-630
  • DOI: 10.1007/s00208-010-0577-4
  • Peer Reviewed
• [Journal Article] Quantum f-divergences and error correction (2011)
  • Author(s): F. Hiai, M. Mosonyi, D. Petz and C. Beny
  • Journal Title: Rev. Math. Phys Volume: 23 Issue: 07 Pages: 691-747
  • DOI: 10.1142/s0129055x11004412
  • Peer Reviewed
• [Journal Article] Bifurcation and Stability for Nonlinear Schrodinger Equations with Double Well Potential in the Semi classical Limit (2011)
  • Author(s): 福泉麗佳, Andrea Sacchetti
  • Journal Title: J.Stat.Phys. Volume: 145 Issue: 6 Pages: 1546-1594
  • DOI: 10.1007/s10955-011-0356-y
  • Peer Reviewed
• [Journal Article] On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation (2011)
  • Author(s): Kanako Suzuki, Izumi Takagi
  • Journal Title: Funkcialaj Ekvaciojm Volume: 54 Pages: 237-274
  • NAID: 130000953648
  • Peer Reviewed
• [Journal Article] Blow-up versus global existence of solutions to aggregation equation with diffusion (2011)
  • Author(s): Grzegorz Karch, Kanako Suzuki
  • Journal Title: Applicationes Mathematicae Volume: 38 Pages: 243-258
  • Peer Reviewed
• [Journal Article] Mechanism Generating Spatial Patterns in Reaction-Diffusion Systems (2011)
  • Author(s): Kanako Suzuki
  • Journal Title: Interdisciplinary Information Sciences Volume: 17 Issue: 3 Pages: 131-153
  • DOI: 10.4036/iis.2011.131
  • NAID: 130001287959
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed
• [Journal Article] An Introduction to Complex Networks (2011)
  • Author(s): T.Hasegawa
  • Journal Title: Interdisciplinary Information Sciences Volume: 17 Issue: 3 Pages: 175-195
  • DOI: 10.4036/iis.2011.175
  • NAID: 130001287961
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed
• [Journal Article] Robustness of networks against propagating attacks under vaccination strategies (2011)
  • Author(s): T.Hasegawa, N.Masuda
  • Journal Title: Journal of Statistical Mechanics : Theory and Experiment Volume: 2011 Issue: 09 Pages: P09014-P09014
  • DOI: 10.1088/1742-5468/2011/09/p09014
  • Peer Reviewed
• [Presentation] 量子確率論の最近の展開～スペクトルグラフ理論から量子場理論まで (2015)
  • Author(s): 尾畑伸明
  • Organizer: 日本数学会東北支部会
  • Place of Presentation: 東北大学
  • Year and Date: 2015-02-14
  • Invited
• [Presentation] Quantum walk on hyperbolic graphs (2015)
  • Author(s): Etsuo Segawa
  • Organizer: Quantum Markov Chains, Quantum Walks, and Related Topics
  • Place of Presentation: Henry B. Gonzalez Convention Center, San Antonio, USA
  • Year and Date: 2015-01-13
• [Presentation] Spectral analysis of digraphs and applications to coupled oscillators (2014)
  • Author(s): Nobuaki Obata
  • Organizer: International Conference on Mathematics and its Applications (ICMAA-2014)
  • Place of Presentation: Anna University, Tamil Nadu, India
  • Year and Date: 2014-12-15
  • Invited
• [Presentation] Quantum walks on infinite trees (2014)
  • Author(s): Etsuo Segawa
  • Organizer: Quantum Simulations and Quantum Walks
  • Place of Presentation: KwaZulu Natal, South Africa
  • Year and Date: 2014-11-26
  • Invited
• [Presentation] Vortex solutions in Bose -Einstein Condensation” (2014)
  • Author(s): Reika Fukuizumi
  • Organizer: 研究集会「確率解析とその周辺」
  • Place of Presentation: 東北大学
  • Year and Date: 2014-10-16
• [Presentation] 量子ウォークの固有値写像について (2014)
  • Author(s): 瀬川悦生
  • Organizer: 日本数学会2014年秋季応用数学分科会
  • Place of Presentation: 広島大学
  • Year and Date: 2014-09-26
  • Invited
• [Presentation] 非線型 Schroedinger方程式-定在波とノイズ (2014)
  • Author(s): 福泉麗佳
  • Organizer: RIMS 共同研究「偏微分方程式に付随する確率論的問題」
  • Place of Presentation: 京都大学
  • Year and Date: 2014-09-16
• [Presentation] 階層ネットワークのランダム故障に対する脆弱性 II (2014)
  • Author(s): 長谷川雄央, 能川知昭, 近藤剛史, 根本幸児
  • Organizer: 日本物理学会2014年秋季大会
  • Place of Presentation: 中部大学
  • Year and Date: 2014-09-10
• [Presentation] Transforms in quantum white noise calculus (2014)
  • Author(s): Nobuaki Obata
  • Organizer: 35th International Conference on Quantum Probability and Related Topics
  • Place of Presentation: Chungbuk National University, Cheongju, Korea
  • Year and Date: 2014-08-24
  • Invited
• [Presentation] Lee's analytic version theorem and development of complex white noise theory (2014)
  • Author(s): Nobuaki Obata
  • Organizer: Workshop on Probability and Analysis in honor of Professor Yuh-Jia Lee
  • Place of Presentation: National University of Kaohsiung, Taiwan
  • Year and Date: 2014-06-21
  • Invited
• [Presentation] ネットワークにおける臨界点の一意性II (2013)
  • Author(s): 長谷川雄央・能川知昭
  • Organizer: 日本物理学会第68回年次大会
  • Place of Presentation: 広島
• [Presentation] On the study of quantum graph : a mapping to coined quantum walk (2013)
  • Author(s): E. Segawa
  • Organizer: American Mathematical Society, Special Session on Quantum Walks and Related Topics
  • Place of Presentation: San Diego, USA
• [Presentation] Unstable patterns in a reaction-diffusion system modeling pattern formations (2012)
  • Author(s): Kanako Suzuki
  • Organizer: 第29回九州における偏微分方程式研究集会
  • Place of Presentation: 九州大学西新プラザ
  • Year and Date: 2012-01-23
• [Presentation] Asymptotic spectral distributions of distance k-graphs of Cartesian product graphs (2012)
  • Author(s): N. Obata
  • Organizer: International Conference in Honour of Sixtieth Birthday of Rajendra Bhatia: Matrices and Operators
  • Place of Presentation: Bangalore, India
  • Invited
• [Presentation] Quantum probability and asymptotic spectral analysis of growing graphs (2012)
  • Author(s): N. Obata
  • Organizer: International Conference on Stochastic Modelling and Simulation (ICSMS2012)
  • Place of Presentation: Chennai, India
  • Invited
• [Presentation] Recent developments of quantum white noise calculus: Quantum stochastic derivatives and their applications (2012)
  • Author(s): N. Obata
  • Organizer: RIMS 研究集会「量子場の数理とその周辺」
  • Place of Presentation: 京都
• [Presentation] Localization of quantum walks on spidernets (2012)
  • Author(s): N. Obata
  • Organizer: QP 33 "Quantum Probabilities and Related Fields"
  • Place of Presentation: Luminy, France
  • Invited
• [Presentation] Random walk, quantum walk, and quantum probability (2012)
  • Author(s): N. Obata
  • Organizer: 6th KMS Probability Workshop
  • Place of Presentation: Seoul, Korea
  • Invited
• [Presentation] Derivation of Bose-Hubbard model -Approximation by DNLS (2012)
  • Author(s): 福泉麗佳
  • Organizer: 九州大学マス・フォア・インダストリ研究所研究集会「光ファイバーとそれに関連する非線形偏微分方程式の研究」
  • Place of Presentation: 福岡
• [Presentation] Gross-Pitaevskii equation with noise (2012)
  • Author(s): 福泉麗佳
  • Organizer: 研究集会「Analytical and Numerical Advances around Schrodinger equations」
  • Place of Presentation: Toulouse, France
  • Invited
• [Presentation] Percolation on complex networks and nonamenable graphs (2012)
  • Author(s): Takehisa Hasegawa
  • Organizer: ECT* Workshop "Spectral Properties of Complex Networks"
  • Place of Presentation: Trento, Italy
• [Presentation] ネットワークにおける臨界点の一意性 (2012)
  • Author(s): 長谷川雄央・能川知昭
  • Organizer: 日本物理学会2012年秋季大会
  • Place of Presentation: 横浜
• [Presentation] Global existence for critical nonlinear massless Dirac equations with null structure in 3D (2012)
  • Author(s): H. Kubo
  • Organizer: 9th AIMS conference on Dynamical Systems, Differential Equations and Applications, Special Session 41
  • Place of Presentation: Orlando, USA
  • Invited
• [Presentation] On the null condition for nonlinear massless Dirac equations (2012)
  • Author(s): 久保英夫
  • Organizer: 弘前非線形方程式研究会
  • Place of Presentation: 弘前
  • Invited
• [Presentation] Quantum walks induced by quantum graphs (2012)
  • Author(s): E. Segawa
  • Organizer: 7th Jikji Workshop on IDAQP
  • Place of Presentation: Cheongju, Korea
• [Presentation] Spectral analysis of digraphs (2012)
  • Author(s): Nobuaki Obata
  • Organizer: Workshop on Non-Commutative Harmonic Analysis with Applications to Real World Complex Phenomena
  • Place of Presentation: Hanyang University, Seoul, Korea(招待講演)
• [Presentation] ランダムな外力を伴うグロス・ピタエフスキー方程式 (2011)
  • Author(s): R.Fukuizumi
  • Organizer: 偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析
  • Place of Presentation: 京都大学
  • Year and Date: 2011-12-21
• [Presentation] Large time dynamics of the kinetic system of a three-component reaction-diffusion system (2011)
  • Author(s): Kanako Suzuki
  • Organizer: 微分方程式の総合的研究
  • Place of Presentation: 東京大学
  • Year and Date: 2011-12-18
• [Presentation] Higher order extension of Lowner's theory : Operator k-tone functions (2011)
  • Author(s): Fumio Hiai
  • Organizer: 作用素論・作用素環論研究集会
  • Place of Presentation: 琉球大学, 50周年記念館(招待講演)
  • Year and Date: 2011-11-04
• [Presentation] Spatial patterns in some reaction-diffusion systems with the diffusion driven instability (2011)
  • Author(s): Kanako Suzuki
  • Organizer: Workshop on Nonlinear Partial Differential Equations--China-Japan Joint Project for Young Mathematicians
  • Place of Presentation: Center for Partial Differential Equations, East China Normal University
  • Year and Date: 2011-11-04
• [Presentation] On the exterior problem for nonlinear wave equations (2011)
  • Author(s): 久保英夫
  • Organizer: The 4th MSJ-SI international conference, "Nonlinear dynamics in partial differential equations
  • Place of Presentation: 福岡(招待講演)
  • Year and Date: 2011-09-18
• [Presentation] Asymptotic behavior for nonlinear Dirac equation with small initial data (2011)
  • Author(s): 久保英夫
  • Organizer: Sapporo Workshop on Non-Commutative Analysis and Applications to Complex Phenomena
  • Place of Presentation: 札幌(招待講演)
  • Year and Date: 2011-09-02
• [Presentation] ノイズが定在波に与える影響について (2011)
  • Author(s): R.Fukuizumi
  • Organizer: OCAMI楕円型方程式研究集会-定常非線形シュレディンガー方程式の定在波解の研究-
  • Place of Presentation: 大阪市立大学
  • Year and Date: 2011-08-11
• [Presentation] Free energy density in one-dimensional spin chains (2011)
  • Author(s): Fumio Hiai
  • Organizer: Summer school on Non-equilibrium statistical Mechanics
  • Place of Presentation: Montreal, Canada(招待講演)
  • Year and Date: 2011-07-20
• [Presentation] Patterns in systems of a single reaction-diffusion equation coupled with ODE equations (2011)
  • Author(s): Kanako Suzuki
  • Organizer: Second Italian-Japanese Workshop Geometric Properties for Parabolic and Elliptic PDE's
  • Place of Presentation: Cortona, Italy
  • Year and Date: 2011-06-21
• [Presentation] Convolution operators in white noise calculus : Revisited (2011)
  • Author(s): Nobuaki Obata
  • Organizer: 32nd International Conference on Quantum Probability and Related Topics
  • Place of Presentation: Levico Terme, Italy(招待講演)
• [Presentation] Spectral analysis of Manhattan products of digraphs (2011)
  • Author(s): Nobuaki Obata
  • Organizer: 14th Workshop : Non-commutative Harmonic Analysis
  • Place of Presentation: Bedlewo, Poland(招待講演)
• [Presentation] Quantum probabilistic spectral analysis of networks and applications (2011)
  • Author(s): Nobuaki Obata
  • Organizer: International Conference on Stochastic Analysis and Applications
  • Place of Presentation: Hammamet, Tunisia(招待講演)
• [Presentation] Spectral analysis of product graphs (2011)
  • Author(s): Nobuaki Obata
  • Organizer: 3rd Conference of Settat on Operator Algebras and Applications
  • Place of Presentation: Marrakesh, Morocco(招待講演)
• [Presentation] Transformations of Fock space operators in terms of quantum white noise calculus (2011)
  • Author(s): Nobuaki Obata
  • Organizer: チュニジアー日本文化・科学・技術学術会議第11回大会(TJASSST'11)
  • Place of Presentation: Hammamet, Tunisia(招待講演)
• [Presentation] Quantum probabilistic spectral analysis of large graphs (2011)
  • Author(s): Nobuaki Obata
  • Organizer: The 2nd Tunisian-Japanese Conference : Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
  • Place of Presentation: Sousse, Tunisia(招待講演)
• [Presentation] Quantum probabilistic spectral analysis of graphs (2011)
  • Author(s): Nobuaki Obata
  • Organizer: 数理解析研究所研究集会「独立性と従属性の数理-代数と確率の出会い-」
  • Place of Presentation: 京都
• [Presentation] Percolation on complex networks and nonamenable graphs (2011)
  • Author(s): T.Hasegawa, T.Nogawa, K.Nemoto
  • Organizer: TJASSST'11 (Tunisian Japanese Symposium on Science, Society and Technology 2011)
  • Place of Presentation: Hammamet, Tunisia
• [Presentation] Percolation on complex networks and nonamenable graphs (2011)
  • Author(s): T.Hasegawa
  • Organizer: Stochastic Dynamics in Mathematics, Physics and Engineering
  • Place of Presentation: Bielefeld, Germany
• [Presentation] Spectral analysis of digraphs and coupled oscillators
  • Author(s): Nobuaki Obata
  • Organizer: 3rd Tunisian-Japanese Conference: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
  • Place of Presentation: Hammamet, Tunisia
  • Invited
• [Presentation] Spectral analysis of Manhattan street networks
  • Author(s): Nobuaki Obata
  • Organizer: Tunisian Japanese Symposium on Science, Society and Technology (TJASSST 2013)
  • Place of Presentation: Hammamet, Tunisia
• [Presentation] Quantum White Noise Derivatives and Their Applications
  • Author(s): Nobuaki Obata
  • Organizer: International Conference on Stochastic Analysis and Applications
  • Place of Presentation: Hammamet, Tunisia
  • Invited
• [Presentation] Spectra of Manhattan street digraphs for synchronization of coupled oscillators
  • Author(s): Nobuaki Obata
  • Organizer: NIMS Hot Topics Workshops on The 8th Jikji workshop : Infinite Dimensional Analysis and Quantum Probability
  • Place of Presentation: Daejeon, Korea
  • Invited
• [Presentation] Origin of the critical phase in complex networks
  • Author(s): Takehisa Hasegawa
  • Organizer: Mathematics of Complex Systems
  • Place of Presentation: Bielefeld, Germany
  • Invited
• [Presentation] Classification of Phase Transitions in Complex Networks: a Monte-Carlo study
  • Author(s): Takehisa Hasegawa
  • Organizer: International Conference on Stochastic Analysis and Applications 2013
  • Place of Presentation: Hammamet, Tunisia
• [Presentation] 階層ネットワークのランダム故障に対する脆弱性
  • Author(s): 長谷川雄央
  • Organizer: 日本物理学会第69回年次大会
  • Place of Presentation: 東海大学、神奈川県
• [Presentation] Limit behavior of quantum walks on half line related to orthogonal polynomials
  • Author(s): Etsuo Segawa
  • Organizer: International Workshop on Noncommutative Analysis and its Future Prospects
  • Place of Presentation: 北海道大学
• [Presentation] Quantum walks on infinite graphs
  • Author(s): Etsuo Segawa
  • Organizer: Quantum simulations and quantum walks
  • Place of Presentation: Pisa, Italy
  • Invited
• [Presentation] Asymptotic behaviors of quantum walks on one dimensional lattice
  • Author(s): Etsuo Segawa
  • Organizer: Quantum Science Symposium
  • Place of Presentation: 東京大学
• [Presentation] グラフ上量子ウォークに関する固有値写像定理
  • Author(s): 瀬川悦生
  • Organizer: 2013年度応用数学合同研究集会
  • Place of Presentation: 龍谷大学、滋賀県
• [Presentation] Limit behaviors of quantum walks and spectral measure on the unit circle
  • Author(s): Etsuo Segawa
  • Organizer: American Mathematical Society, AMS Special Session on Quantum Walks, Quantum Computation, and Related Topics
  • Place of Presentation: Baltimore, USA
• [Book] Real and Stochastic Analysis: Current Trends Chapter 4 (2014)
  • Author(s): Un Cig Ji and N. Obata
  • Total Pages: 562
  • Publisher: World Scientific
• [Book] 確率モデル要論 (2012)
  • Author(s): 尾畑伸明
  • Publisher: 牧野書店
• [Remarks] 東北大学大学院情報科学研究科尾畑研究室ウェッブサイト
• [Remarks] 研究室ウェブページ
  • URL: http://www.math.is.tohoku.ac.jp/~obata/
• [Remarks]
  • URL: http://www.math.is.tohoku.ac.jp/~obata/