Researcher Database

NameHibino
DepartmentDepartment of Mathematical Sciences
Job TitleAssociate Professor Degree Obtained
  • Doctor(science)
  • Master of Science
E-mail
Homepagehttp://hibino.ms.saga-u.ac.jp/

Detailed Information

Research Field/Keywords for Research Field

  • Gaussian processes

Education

  • 1988/03, Department of Mathematics, Graduated
  • 1990/03, Master Course, Completed
  • 1993/03, Doctor Course, Completed

Employment Experience

  • 1993/04 - 1996/09 Lecturer, College of Liberal Arts, Saga University
  • 1996/10 - 1997/04 Lecturer, Faculty of Science and Engineering, Saga University
  • 1997/05 - 2007/03 Associate Professor, Faculty of Science and Engineering, Saga University
  • 2007/04 - 2010/03 Associate Professor, Mathematics, Faculty of Science and Engineering, Saga University
  • 2010/04 - 2018/03 Associate Professor, Mathematics, Graduate School of Science and Engineering, Saga University

Field of Specialization

  • Foundations of mathematics/Applied mathematics, Basic analysis

Membership in Academic Societies

  • Association for Quantum Probability and Infinite Dimensional Analysis, Mathematical society of Japan

Themes for Ongoing Research

  • Canonical representation of Gaussian processes
  • quantum probability with application to graph theory

Research Topics and Results

Original Articles

  • Spectral distributions of distance-two graphs of homogeneous trees from a viewpoint of quantum probability; 2019/05
    ANNOUNCEMENT INFO.; Reports of the Faculty of Science and Engineering, Saga University, 48, 1, 5-8
    AUTHOR; HIBINO Yuji
  • Asymptotic spectral distributions of distance-k graphs of Hamming graphs; 2013/06
    ANNOUNCEMENT INFO.; , 7, 2, 275-282
    AUTHOR; Yuji HIBINO
  • Asymptotic spectral distributions of distance-k graphs of Cartesian product graphs; 2013
    ANNOUNCEMENT INFO.; Colloq. Math., 132, 1, 35-52
    AUTHOR; Yuji HIBINO, Hun Hee LEE, Nobuaki OBATA
  • Asymptotic spectral analysis of a distance k-graph of N-fold direct product of a graph; 2012/06
    ANNOUNCEMENT INFO.; Commun. Stoch. Anal., 6, 2, 213–221.
    AUTHOR; Kurihara, Jun
  • Asymptotic spectral analysis of a generalized N-cube by a Quantum Probabilistic method; 2011/09
    ANNOUNCEMENT INFO.; Infin. Dimens. Anal. Quantum Probab. Relat. Top., 14, 3, 409-417
    AUTHOR; KURIHARA Jun; HIBINO Yuji
  • Topics on noncanonical representations of Gaussian processes; 2006/06
    ANNOUNCEMENT INFO.; Reports of the Faculty of Science and Engineering Saga University Mathematics, 35, 1, 1-9
    AUTHOR; Hibino Yuji
  • Noncanonical representations of a multi-dimensional Brownian motion; 2006
    ANNOUNCEMENT INFO.; "Quantum Information and Computing"(Eds. L. Accardi, M. Ohya and N. Watanabe)QP-PQ: Quantum Probability and White Noise Analysis - Vol. 19, World Scientiffic(2006),181-185., 19, 181-185
    AUTHOR; Hibino, Yuji
  • A topic on noncanonical representations of Gaussian processes; 2005
    ANNOUNCEMENT INFO.; Stochastic Analysis: Classial and Quantum Perspectives of White Noise Theory (Ed. T.Hida), World Scientific, 31- 34
    AUTHOR; Hibino, Yuji
  • Volterra representations of Gaussian processes with an infinite-dimensional orthogonal complement; 2004
    ANNOUNCEMENT INFO.; "Quantum Probability and Infinite Dimensional Analysis" From Foundations to Applications(Eds. M. Sh�rmann & U. Franz) QP-PQ: Quantum Probability and White Noise Analysis (World Scientiffic), 18, 293-302
    AUTHOR; Hibino, Yuji; Muraoka, Hiroshi
  • Another noncanonical representation of a Brownian motion related to singular Volterra kernels; 2004
    ANNOUNCEMENT INFO.; Proceedings of the Meijo Winter School 2003 "Quantum Information and Complexity",(World Scientific), 202-210
    AUTHOR; Hibino, Yuji
  • Canonical representation of stationary quantum Gaussian processes; 2002
    ANNOUNCEMENT INFO.; Infin. Dimens. Anal. Quantum Probab. Relat. Top. , 5, 3, 421-428
    AUTHOR; Accardi, Luigi; Hibino, Yuji
  • Canonical property of representations of Gaussian processes with singular Volterra kernels; 2002
    ANNOUNCEMENT INFO.; Infin. Dimens. Anal. Quantum Probab. Relat. Top., 5, 2, 293-296
    AUTHOR; Hibino, Yuji; Hitsuda, Masuyuki
  • Remarks on a noncanonical representation for a stationary Gaussian process.; 2000
    ANNOUNCEMENT INFO.; Recent developments in infinite-dimensional analysis and quantum probability. Acta Appl. Math. 63 (2000), no. 1-3, 137--139.
    AUTHOR; Hibino, Yuji; Hitsuda, Masuyuki; Muraoka, Hiroshi;
  • Construction of noncanonical representations of a Brownian motion.; 1997
    ANNOUNCEMENT INFO.; Hiroshima Math. J., 27, 3, 439--448
    AUTHOR; Hibino, Yuji; Hitsuda, Masuyuki; Muraoka, Hiroshi;
  • Information quantity of a noncanonical representation of Gaussian processes,; 1996/09
    ANNOUNCEMENT INFO.; Journal of the Faculty of Liberal Arts, Saga University, No.29,Sep. 1996, pp.1-3.
    AUTHOR; Hibino, Yuji;
  • Multiple reciprocal property for multiple Markov Gaussian processes.; 1993
    ANNOUNCEMENT INFO.; Soochow J. Math. 19 (1993), no. 4, 453--460.
    AUTHOR; Hibino, Yuji;
  • The backward canonical representations and interpolations for multiple Markov Gaussian processes.; 1993
    ANNOUNCEMENT INFO.; Stochastic Process. Appl. 45 (1993), no. 1, 29--44.
    AUTHOR; Hibino, Yuji;

General Lectures

  • Asymptotic Spectral Distributions of Distance-k Graphs of Cartesian Product Graphs; 2013/09
    ANNOUNCEMENT INFO.; 34th Conference on Quantum Probability and Related Topics (Steklov Mathematical Institute, Moscow, Russia)
    AUTHOR; HIBINO Yuji
  • Noncanonical representation of Gaussian processes with an

    infinite-dimensional orthogonal complement; 2005/12
    ANNOUNCEMENT INFO.; Third Conference on Stochastic Analysis and Probability(Marrakesh, Morocco)
    AUTHOR; Hibino, Yuji
  • Topics on noncanonical representations of Gaussian processes; 2004/11
    ANNOUNCEMENT INFO.; International Conference on Stochastic Analysis, Classical and Quantum ---Perspectives of White Noise Theory---(Meijo univ.)
    AUTHOR; Hibino, Yuji
  • Volterra representation of a Brownian motion with an infinite-dimensional orthogonal complement; 2003/11
    ANNOUNCEMENT INFO.; Project 'White Noise Theory and Quantum Information' International Conference on Quantum Information(at Meijo Univ.)
    AUTHOR; Hibino, Yuji
  • On the noncanonical representations for an n dimensional Brownian motion; 2003/02
    ANNOUNCEMENT INFO.; Representations of Stochastic Processes and Isomorphism Problems of Filtrations (at RIMS)
    AUTHOR; Hibino, Yuji
  • On some noncanonical representations for a Brownian motion; 2003/01
    ANNOUNCEMENT INFO.; Meijo Winter School `Quantum Information and Complexity'(at Meijo Univ.)
    AUTHOR; Hibino, Yuji
  • Volterra representation for stationary Gaussian processes with infinite dimensional orthogonal complement; 2001/12
    ANNOUNCEMENT INFO.; International Workshop on Quantum Information(国際高等研究所)
    AUTHOR; Hibino, Yuji;
  • Boson Fock representation of stochastic processes with a scalar commutator; 2001/09
    ANNOUNCEMENT INFO.; International Conference on "Quantum Computation and Frontier of White Noise Analysis"(国際高等研究所)
    AUTHOR; Accardi, L.; Hibino, Yuji;
  • Canonical and noncanonical representations for a Gaussian process related to the operator of Volterra type; 2001/02
    ANNOUNCEMENT INFO.; Seminario Volterra(Center Vito Volterra Universit� Di Roma Tor Vergata)
    AUTHOR; Hibino, Yuji;
  • noncanonical representations for a Gaussian process and iteration of the operator; 2000/11
    ANNOUNCEMENT INFO.; Prof. Fujita Project, Group B."Mathematics of Quantum Analysis and Quantum Information Theory"(国際高等研究所)
    AUTHOR; Hibino, Yuji;
  • noncanonical representations for a Gaussian process and perturbation of the operator; 2000/11
    ANNOUNCEMENT INFO.; Prof. Fujita Project, Group B."Mathematics of Quantum Analysis and Quantum Information Theory"(国際高等研究所)
    AUTHOR; Hibino, Yuji; Hitsuda, M.;
  • Construction of the backward canonical representations for Gaussian random processes.; 1990/08
    ANNOUNCEMENT INFO.; Seminar on Lévy's Brownian motion and white noise(名古屋大学)
    AUTHOR; Hibino Yuji
  • The backward canonical representations for Gaussian multiple Markov processes.; 1990/08
    ANNOUNCEMENT INFO.; International Conference on Gaussian Random Fields(名古屋電気文化会館)
    AUTHOR; Hibino Yuji

Invited Lecture, Special Lecture

  • Noncanonical representation for a stationary Gaussian process with the infinite dimensional orthogonal complement; 2003/10
    ANNOUNCEMENT INFO.; Volterra-CIRM-Greifswald International Conference "Classical and Quantum Levy Processes:Theory and Applications" (Levico Terme, Trento, Italy)
    AUTHOR; Hibino, Yuji
  • Topics on the canonical representation theory for stationary Gaussian processes; 2002/06
    ANNOUNCEMENT INFO.; 23rd Conference on Infinite Dimensional Analysis and Quantum Probability (Levico Terme, Trento, Italy)
    AUTHOR; Hibino, Yuji;


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