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My Papers

[1] (master thesis)
Canonical representation of Gaussian processes and stochastic field.(in Japanese)
Nagoya Univ. Feb.1990

[2] Hibino Yuji;
The backward canonical representations and interpolations for multiple Markov Gaussian processes
Stochastic Process. Appl. 45 (1993) no. 1 29--44.
PDF
[3] Hibino Yuji;
Multiple reciprocal property for multiple Markov Gaussian processes
Soochow J. Math. 19 (1993) no. 4 453--460.
DVIPDF
[4] (doctor thesis)
Canonical representations of Gaussian processes and theirapplications to interpolation
Kumamoto University Feb. 1993
PDF
[5] Hibino Yuji;
Construction of noncanonical representations of Gaussian process (in Japanese)
Journal of the Faculty of Liberal Arts Saga University No28 Jul. 1996 pp.1-7
(English translation: DVIPDF.)
[6] Hibino Yuji;
Information quantity of a noncanonical representation of Gaussian processes
Journal of the Faculty of Liberal Arts Saga University No29 Sep. 1996 pp.1-3.
DVIPDF
[7] Hibino Yuji; Hitsuda Masuyuki; Muraoka Hiroshi;
Construction of noncanonical representations of a Brownian motion.
Hiroshima Math. J. 27 (1997) no. 3 439--448.
DVIPDF
[8] Hibino Yuji; Hitsuda Masuyuki; Muraoka Hiroshi;
Remarks on a noncanonical representation for a stationary Gaussian process.
Recent developments in infinite-dimensional analysis and quantum probability. Acta Appl. Math. 63 (2000) no. 1-3 137--139.
DVI PDF
[9] Hibino Yuji; Hitsuda Masuyuki;
Canonical property of representations of Gaussian processes with singular Volterra kernels.
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5 (2002) no. 2 293--296.
DVI PDF
[10] Accardi Luigi; Hibino Yuji;
Canonical representation of stationary quantum Gaussian processes
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5 (2002) no. 3 421 -- 428.
DVI PDF
[11] Hibino Yuji;
Another noncanonical representation of a Brownian motion related to singular Volterra kernels
Proceedings of the Meijo Winter School 2003 "Quantum Information and Complexity" (Eds. T.Hida K.Saito and SiSi) World Scientific(2004) 202 -- 210.
DVI DVI
[12] Hibino Yuji; Muraoka Hiroshi;
Volterra representations of Gaussian processes with an infinite-dimensional orthogonal complement
"Quantum Probability and Infinite Dimensional Analysis" From Foundations to Applications(Eds. M. Shürmann & U. Franz) QP-PQ: Quantum Probability and White Noise Analysis - Vol. 18 World Scientiffic(2004) 293--302.
DVI DVI
[13] Hibino Yuji;
A topic on noncanonical representations of Gaussian processes
Stochastic Analysis: Classial and Quantum Perspectives of White Noise Theory (Ed. T.Hida) World Scientific (2005) 31 -- 34.
DVI DVI
[14] Hibino Yuji;
Noncanonical representations of a multi-dimensional Brownian motion
"Quantum Information and Computing"(Eds. L. Accardi M. Ohya & N. Watanabe)QP-PQ: Quantum Probability and White Noise Analysis - Vol. 19 World Scientiffic(2006) 181-185.
DVI DVI
[15] Hibino Yuji;
Topics on noncanonical representations of Gaussian processes
Reports of the Faculty of Science and Engineering Saga University Mathematics Vol. 35(2006) No.1 1-9.
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