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

• Asymptotic spectral distributions of distance-k graphs of Hamming graphs 2013/06
• Asymptotic spectral distributions of distance-k graphs of Cartesian product graphs 2013
• A topic on noncanonical representations of Gaussian processes 2005
• Volterra representations of Gaussian processes with an infinite-dimensional orthogonal complement 2004
• Another noncanonical representation of a Brownian motion related to singular Volterra kernels 2004
• Canonical representation of stationary quantum Gaussian processes 2002
• Canonical property of representations of Gaussian processes with singular Volterra kernels 2002
• Construction of noncanonical representations of a Brownian motion. 1997

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;