Other Publications

Published in Proceedings, as Book Chapters, etc. (Refereed or Non-Refereed / in English or in Japanese

2011-2015

• 84] (書評) 尾畑伸明：
  無限量子系の物理と数理 (小嶋泉・岡村和弥共著)
  数理科学 606 (2013), 11月号, p.61.
• 83] Nobuaki Obata:
  Manhattan product of digraphs,
  京都大学数理解析研究所講究録 1819 (2012), 125-134.

2006-2010

• 82] Un Cig Ji and Nobuaki Obata:
  Quantum white noise derivatives and associated differential equations for white noise operators,
  in ``Quantum Probability and White Noise Analysis: Proceedings of the 29th Conference
  (H. Ouerdiane and A. Barhoumi, Eds.),"
  pp. 42-54, World Scientific, 2010.
• 81] Nobuaki Obata:
  Quantum stochastic derivatives and applications,
  in ``Proceedings of TJASSST 10 (A. Ghorbel, A. Ben Salem, S. Bouzayene, Eds.),"
  pp. 289-291, Ministry of Higher Education and Scientific Research, Tunisia, 2010.
• 80] 尾畑伸明：
  グラフのスペクトル解析における量子確率論の手法,
  第26回代数的組合せ論シンポジウム報告集, pp. 102-125, 2009
• 79] 尾畑伸明：
  量子確率論とグラフのスペクトル解析,
  in 数理物理2009「ベキ乗則の数理」
  pp. 1-40, 東京大学, 2009
• 78] 尾畑伸明：ホワイトノイズ解析の新展開,
  量子情報の数理に関する研究～エントロピー・ゆらぎ・ミクロとマクロ・アルゴリズム・生命情報～,
  高等研報告書 0801, pp. 173-192,
  国際高等研究所, 2008.
• 77] Un Cig Ji and Nobuaki Obata:
  Hitsuda-Skorohod quantum stochastic integrals in terms of quantum stochastic gradients,
  京都大学数理解析研究所講究録 1565 (2007-07), 143-156.
• 76] 尾畑伸明：
  成長するネットワークとランダム行列--量子確率論の視点,
  数理科学 524 (2007), 2月号, 18-23.
• 75] Wided Ayed, Nobuaki Obata and H. Ouerdiane:
  Partial unitarity arising from quadratic quantum white noise,
  in ``Mathematical Analysis of Random Phenomena
  (A. B. Cruzeiro, H. Ouerdiane and N. Obata Eds.),"
  pp. 45-55, World Scientific, 2007.
  [refereed]
• 74] Nobuaki Obata:
  Asymptotic spectral analysis of growing graphs: A quantum probabilistic approach,
  in ``Methods and Applications of Infinite Dimensional Analysis
  (C. C. Bernido and M. V. Carpio-Bernido, Eds.),"
  pp. 62-85,
  Central Visayan Institute Foundation, Jagna, Philippines, 2006.
• 73] Akihito Hora and Nobuaki Obata:
  An interacting Fock space with periodic Jacobi parameters obtained from regular graphs in large scale limit,
  in ``Quantum Information V (T. Hida and K. Saito, Eds.),"
  pp. 121-144, World Scientific, 2006.

2001-2005

• 72] Un Cig Ji and Nobuaki Obata:
  Admissible white noise operators and their quantum white noise derivatives,
  in ``Infinite Dimensional Harmonic Analysis III (H. Heyer, T. Hirai, T. Kawazoe, K. Saito, Eds.),"
  pp. 213-232,
  World Scientific, 2005.
  [refereed]
• 71] 尾畑伸明：
  量子確率論における独立性とグラフのスペクトル解析,
  数学 57 (2005), 1-20.
• 70] Nobuaki Obata and Habib Ouerdiane:
  Heat equation associated with Levy Laplacian,
  in ``Proceedings of the Internatational Conference on Stochastic Analysis and Applications
  (S. Albeverio, A. B. de Monvel and H. Ouerdiane (Eds.),"
  pp. 53-68, Kluwer Academic Publishers, 2004.
  [refereed]
• 69] Akihito Hora and Nobuaki Obata:
  Quantum decomposition and quantum central limit theorem,
  in ``Fundamental Problems in Quantum Mechanics (L. Accardi and S. Tasaki, Eds.),"
  pp. 284-305,
  World Scientific, 2003.
  [refereed]
• 68] Un Cig Ji and Nobuaki Obata:
  Quantum white noise calculus,
  in ``Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads
  (N. Obata, T. Matsui and A. Hora, Eds.),"
  pp. 143-191, World Scientific, 2003.
  [refereed]
• 67] Nobuaki Obata and Kimiaki Saito:
  Cauchy processes and the Levy Laplacian,
  in ``Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads
  (N. Obata, T. Matsui and A. Hora, Eds.),"
  pp. 360-373, World Scientific, 2002.
  [refereed]
• 66] Nobuaki Obata:
  Inverse S-transform, Wick product and overcompleteness of exponential vectors,
  in ``Quantum Information IV (T. Hida and K. Saito, Eds.),"
  pp. 147-176, World Scientific, 2002.
• 65] 洞彰人・尾畑伸明：
  量子分解法による隣接作用素のスペクトル解析 I:個数作用素が現れない場合,
  京都大学数理解析研究所講究録 1291 (2002-10), 11-44.
• 64] Nobuaki Obata:
  Quantum white noise calculus based on nuclear algebras of entire functions,
  京都大学数理解析研究所講究録 1278 (2002-08), 130-157.
• 63] Un Cig Ji and Nobuaki Obata:
  Segal-Bargmann transform of white noise operators and white noise differential equations,
  京都大学数理解析研究所講究録 1266 (2002-05), 59-81.
• 62] 尾畑伸明：
  量子分解法によるスペクトル解析,
  物性研究 77(5) (2002-02), 784-805.
• 61] Nobuaki Obata:
  Multi-variable white noise functions: Standard setup revisited,
  京都大学数理解析研究所講究録 1227 (2001-08), 184-198.
• 60] H.-H. Kuo, Nobuaki Obata and K. Saito:
  White noise analysis based on the Levy Laplacian,
  京都大学数理解析研究所講究録 1227 (2001-08), 170-183.
• 59] Nobuaki Obata:
  On overcompleteness of coherent vectors,
  京都大学数理解析研究所講究録 {\bf 1196} (2001-04), 63-77.
• 58] 尾畑伸明：
  複素ホワイトノイズとコヒーレント状態表示,
  物性研究 75(5) (2001-02), 901-917.
• 57] Yukihiro Hashimoto, Nobuaki Obata and Nobuyuki Tabei:
  A quantum aspect of asymptotic spectral analysis of large Hamming graphs,
  in ``Quantum Information III (T. Hida and K. Sait\^o, Eds.),"
  pp. 45-57, World Scientific, 2001.
  [DOI] 10.1142/9789812810267_0004

1996-2000

• 56] Nobuaki Obata:
  Quantum stochastic analysis via white noise operator theory,
  in ``Proceedings of the International Conference on Probability and Statistics and Their Applications,"
  pp. 41-64, Hanoi Institute of Mathematics, 2000.
• 55] Nobuaki Obata:
  A note on coherent state representations of white noise operators,
  in ``Quantum Information II (T. Hida and K. Sait\^o, Eds.),"
  pp. 135-147, World Scientific, 2000.
• 54] Un Cig Ji and Nobuaki Obata:
  Initial value problem for white noise operators and quantum stochastic processes,
  in ``Infinite Dimensional Harmonic Analysis (H. Heyer, T. Hirai and N. Obata, Eds.),"
  pp.203-216, D.+M. Graebner, Tuebingen, 2000.
  [refereed]
• 53] Dong Myung Chung, Un Cig Ji and Nobuaki Obata:
  Normal-ordered white noise differential equations I: Existence of solutions as Fock space operators,
  in ``Trends in Contemporary Infinite Dimensional Analysis and Quantum Probability
  (L. Accardi, H.-H. Kuo, N. Obata, K. Saito, Si Si, L. Streit (Eds.),"
  pp. 115-135, Istituto Italiano di Cultura, Kyoto, 2000.
  [refereed]
• 52] （項目執筆）尾畑伸明：
  量子確率過程,
  電子情報通信用語辞典（電子情報通信学会編）コロナ社, p. 1056, 1999.
• 51] 尾畑伸明：
  ホワイトノイズと量子確率解析の非線形拡張,
  物性研究 72(3) (1999-06), 345-360.
• 50] Nobuaki Obata:
  Some new trends and questions in white noise calculus,
  京都大学数理解析研究所講究録 {\bf 1099} (1999-06), 1-16.
• 49] T. Yoshida, Nobuaki Obata and Kenji Oosawa:
  A method of sequential analysis by 2D-pattern formation with coloration (abstract),
  Amino Acids {\bf 17} (1999), 121.
  [refereed]
• 48] 堀江亮次・奥田康誠・山下准・河村和人・尾畑伸明：
  作者の統計的識別の一例,
  シンポジウム報告集``人文科学における数量的分析(4),"
  pp. 51-60, 統計数理研究所, 1999.
• 47] 明出伊類似・尾畑伸明：
  代数的確率論入門 -- 独立性の諸概念,
  名古屋大学多元数理講義録 Vol. 2, pp. 193+vi, 1999.
• 46] D. M. Chung, U. C. Ji and Nobuaki Obata:
  Normal-ordered white noise differential equations II: Regularity properties of solutions,
  in ``Probability Theory and Mathematical Statistics (B. Grigolionis et al. Eds.),"
  pp. 157-174, VSP BV and TEV Ltd., 1999.
  [refereed]
• 45] Nobuaki Obata, Kenji Oosawa and Tetsuhiko Yoshida:
  A method for information analysis of sequences by two-dimensional pattern formation with coloration,
  in ``Quantum Information (T. Hida and K. Sait\^o, Eds.),"
  pp. 27-58, World Scientific, 1999.
• 44] Nobuaki Obata:
  A note on normal-ordered white noise equations,
  in ``Invited Lectures at the VIII-th Internat. Colloq. Differential Equations Vol. II (D. Kolev, Ed.),"
  pp. 109-118, Academic Publications, Bulgaria, 1999.
  [refereed]
• 43] Nobuaki Obata:
  A note on transformations on white noise function: Hida's whiskers revisited,
  京都大学数理解析研究所講究録 1035 (1998-04), 155-169.
• 42] Luigi Accardi, Yukihiro Hashimoto and Nobuaki Obata:
  Notions of independence related to free groups II: From singleton condition to singleton independence,
  京都大学数理解析研究所講究録 1035 (1998-04), 82-94.
• 41] 大澤研二・尾畑伸明・吉田徹彦：
  色彩パターン化による1次元配列の情報解析法,
  シンポジウム報告集``人文科学における数量的分析(3),"
  pp. 77-82, 統計数理研究所, 1998.
• 40] Nobuaki Obata:
  A note on Hida's whiskers and complex white noise,
  in ``Analysis on Infinite-Dimensional Lie Groups and Algebras (H. Heyer and J. Marion, Eds.),"
  pp. 321-336, World Scientific, 1998.
  [refereed]
• 39] (Book Review) vNobuaki Obata:
  Gaussian Random Functions (M. A. Lifshits, Kluwer Academic Publ., 1995),
  Metrika 45 (1997), 179.
• 38] Tetushiko Yoshida, Nobuaki Obata and Kenji Oosawa:
  A New Method for Analysis of DNA and Protein Sequences by 2D-Pattern Formation with Coloration
  Genome Informatics 8 (1997), 360-361.
  [refereed]
• 37] 尾畑伸明：
  ホワイトノイズ超関数と量子確率微分方程式,
  物性研究 69(1) (1997-10), 19-38.
• 36] Nobuaki Obata:
  Quantum stochastic process as continuous flow of Fock space operators,
  京都大学数理解析研究所講究録 982 (1997), 196-208.
• 35] Nobuaki Obata:
  Generalization of integral kernel operators,
  京都大学数理解析研究所講究録 980 (1997-02), 137-149.
• 34] Nobuaki Obata:
  Time-ordered Wick exponential and quantum stochastic differential equations,
  in ``Quantum Communication, Computing, and Measurement (O. Hirota, A. S. Holevo and C. M. Caves, Eds.),"
  pp. 355-363, Plenum, 1997.
  [refereed]
  [DOI] 10.1007/978-1-4615-5923-8_37
• 33] Nobuaki Obata:
  Wick product of white noise operators and its application to quantum stochastic differential equations,
  京都大学数理解析研究所講究録 957 (1996-08), 167-185.
• 32] Luigi Accardi, Yun Gang Lu and Nobuaki Obata:
  Towards a non-linear extension of stochastic calculus,
  京都大学数理解析研究所講究録 957 (1996-08), 1-15.
• 31] 尾畑伸明：
  量子確率論への招待,
  名古屋数理フォーラム 2 (1996), 1-19.
• 30] 尾畑伸明：
  量子ホワイトノイズの数学的基礎,
  物性研究 66(1) (1996-04), 76-94.
• 29] Nobuaki Obata:
  Constructing one-parameter transformation groups on white noise
  functions in terms of equicontinuous generators,
  in ``Infinite Dimensional Harmonic Analysis (H. Heyer and T. Hirai, Eds.),"
  pp. 169-187, Gr\"abner, Tuebingen, 1996.
  [refereed]
• 28]（分担執筆）尾畑伸明：
  ホワイトノイズと量子確率,
  in 量子情報と進化の力学 - 研究最前線（大矢雅則・小嶋泉編著）
  pp. 91-109, 数理情報科学シリーズ 12, 牧野書店, 1996.
• 27] Nobuaki Obata:
  Invitation to quantum white noise,
  in ``Dynamical Systems in Infinite Dimensional Spaces (Y. M. Park Ed.),''
  pp. 1-34, Pure Math. Res. Assoc., Korean Academic Council, 1996.
  [refereed]
• 26] Nobuaki Obata:
  White noise approach to quantum martingales,
  in ``Probability Theory and Mathematical Statistics
  (S. Watanabe, M. Fukushima, Yu. V. Prohorov and A. N. Shiryaev, Eds.),''
  pp. 379-386, World Scientific, 1996.
  [refereed]

1991-1995

• 25] （項目執筆）尾畑伸明：
  ホワイトノイズ解析,
  in 数理情報科学事典（大矢雅則 ほか編） pp. 952-954, 朝倉書店, 1995.
• 24] Nobuaki Obata:
  Conditional expectation in classical and quantum white noise calculi,
  京都大学数理解析研究所講究録 923 (1995-09), 154-190.
• 23] 尾畑伸明：
  ホワイトノイズによる量子確率積分,
  in 研究会「量子情報理論と開放系 (大矢雅則 編)」報告集,
  pp. 135-152, 東京理科大学, 1995.
• 22] Nobuaki Obata:
  Lie algebras containing infinite dimensional Laplacians,
  in ``Probability Measures on Groups and Related Structures (H. Heyer, Ed.),''
  pp. 260-273, World Scientific, 1995.
  [refereed]
• 21] Nobuaki Obata:
  Fock expansion of operators on white noise functionals,
  in ``Stochastic Processes, Physics and Geometry II (S. Albeverio, U. Cattaneo and D. Merlini Eds.),''
  pp. 557-568, World Scientific, 1995.
  [refereed]
• 20] (Book Review) Nobuaki Obata:
  Barcelona Seminar of Stochastic Analysis (D. Nualart and M. Sanz-Sol, Birkhauser-Verlag, 1993),
  Metrika 41 (1994), 375.
• 19] 尾畑伸明：
  Fock空間上の量子確率過程 - ホワイトノイズの観点から,
  京都大学数理解析研究所講究録 887 (1994-10), 72-96.
• 18] Nobuaki Obata:
  On vector-valued white noise functionals,
  京都大学数理解析研究所講究録 885 (1994-09), 120-138.
• 17] Luigi Accardi and Nobuaki Obata:
  Derivation property of the Levy Laplacian,
  京都大学数理解析研究所講究録 874 (1994-06), 8-19.
• 16] Nobuaki Obata:
  White noise calculus with finite degree of freedom,
  京都大学数理解析研究所講究録 874 (1994-06), 137-155.
• 15] Nobuaki Obata:
  White noise approach to quantum stochastic integrals,
  京都大学数理解析研究所講究録, {\bf 874} (1994-06), 156-167.
• 14] 尾畑伸明：
  指数分布 - 準位集積の道しるべ,
  数理科学10月号 (1994), 13-18;
  (再録)別冊数理科学「量子カオスの物理と数理」
  pp. 161-167, 2000.
• 13] 尾畑伸明：
  ホワイトノイズによる量子確率解析,
  物性研究 62(1), (1994-04), 62-85.
• 12] Nobuaki Obata:
  Harmonic analysis and infinite dimensional Laplacians on Gaussian space,
  in ``Quantum Probability and Related Topics IX (L. Accardi et al Eds.),''
  pp. 327-370, World Scientific, 1994.
  [refereed]
• 11] Nobuaki Obata:
  Toward harmonic analysis on Gaussian space,
  京都大学数理解析研究所講究録 855 (1993-12), 118-141.
• 10] Nobuaki Obata:
  Elements of white noise calculus,
  Centro V. Volterra publications No. 124, 1992.
• 9] (Book Review) Nobuaki Obata:
  Advanced Probability Theory (J. Galambos, Marcel Dekker, 1988),
  Metrika 39 (1992), 44.
• 8] 尾畑伸明：
  無限離散群の調和解析,
  in ``I. F. Report No. 20," pp.147-154, 石田財団, 1992.
• 7] Nobuaki Obata:
  Isometric operators on L^1-algebras of hypergroups,
  in ``Probability Measures on Groups X (H. Heyer Ed.),''
  pp. 315-328, Plenum Press, New York, 1991.
  [refereed]

1987-1990

• 6] 尾畑伸明：
  無限離散群の誘導表現:Intertwining Number Theorem とその応用,
  京都大学数理解析研究所講究録, 715 (1990-03), 22-50.
• 5] Nobuaki Obata:
  The Levy Laplacian and the mean value theorem,
  in ``Probability Measures on Groups IX (H. Heyer Ed.),''
  Lect. Notes in Math. Vol. 1379, Springer-Verlag, 1989, pp. 242-253.
  [refereed]
• 4] Nobuaki Obata:
  Harmonic functions on Hilbert space and the Levy Laplacian,
  京都大学数理解析研究所講究録, 642 (1988-02), 213-228.
• 3] Nobuaki Obata:
  A characterization of the Levy group and related topics,
  in ``Levy Seminar No.2,'' Nagoya University, 1987, pp.63-88.
• 2] Nobuaki Obata:
  Configuration space and unitary representations of the group of diffeomorphisms,
  京都大学数理解析研究所講究録, 615 (1987-03), 129-153.
• 1] Nobuaki Obata:
  Unitary representations of the infinite symmetric group,
  Seminar Reports of Unitary Representation, No. 5 (1985), 7-18.