Papers - MURAKI Naofumi
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A simple proof of the classification theorem for positive natural products
Naofumi Muraki
Probability and Mathematical Statistics 33 ( 2 ) 315 - 326 2013
Research paper (scientific journal)
Single Work English
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Markov property of Monotone Levy Processes
Uwe Franz, Naofumi Muraki
Infinite Dimensional Harmonic Analysis III 37 - 57 2005.01
Research paper (international conference proceedings)
Joint Work English
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The five independences as natural products
Naofumi Muraki
Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 ( 3 ) 337 - 372 2003.01
Research paper (scientific journal)
Part： 337-372頁
Single Work English
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The five independences as quasi-universal Products
Naofumi Muraki
Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 ( 1 ) 113 - 134 2002.01
Research paper (scientific journal)
Part： 113-134頁
Single Work English
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Monotonic independence, monotonic central limit theorem and monotonic law of small numbers
Naofumi Muraki
Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 ( 1 ) 39 - 58 2001.01
Research paper (scientific journal)
Single Work English
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Monotonic convolution and monotonic Levy-Hincin formula
Naofumi Muraki
conditionally accepted by Probability Theory and Related Fields 2000
Research paper (other science council materials etc.)
Part： 40頁
Single Work English
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Noncommutative Brownian motion in monotone Fock space
Naofumi Muraki
Commun. Math. Phys. 183 557 - 570 1997.05
Research paper (scientific journal)
Single Work English
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A new example of noncommutative ``de Moivre-Laplace theorem"
Naofumi Muraki
Probability Theory and Mathematical Statistics: Proceedings of the Seventh Japan-Russia Symposium 353 - 362 1996.07
Research paper (international conference proceedings)
Single Work English
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An approach to the construction of inequivalent models of central limit therorem for Gaussianization of a symmetric probability measure
Naofumi Muraki
RIMS kokyuroku 1683 93 - 105 2010.04
Research paper (bulletin of university, research institution)
Single Work English
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Different Gaussianizations of probability measures given by (lambda,q)-Fock space
Naofumi Muraki
Proceedings of Symposium on Applied Functional Analysis 293 - 301 2007.10
Research paper (international conference proceedings)
Single Work English
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On `monotonic' binomial distribution
Naofumi Muraki
京都大学数理解析研究所講究録 1340 18 - 26 2003.01
Research paper (bulletin of university, research institution)
Part： 18-26頁
Single Work English
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Classification of universal notions of stochastic independence
Naofumi Muraki
京都大学数理解析研究所講究録 1278 123 - 129 2002.01
Research paper (bulletin of university, research institution)
Single Work English
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Weighted monotone Fock space and a Brownian motion with the distribution of Bozejko-Leinert-Speicher
村木 尚文
京都大学数理解析研究所講究録 1253 26 - 37 2002.01
Research paper (bulletin of university, research institution)
Part： 26-37頁
Single Work English
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On monotonic probability
Naofumi Muraki
Proc. Third China and Japan Joint Symp. on Applied Math. and its Related Topics 1 - 6 2002.01
Research paper (international conference proceedings)
Part： 1-6頁
Single Work English
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Towards ``monotonic probability"
Naofumi Muraki
京都大学数理解析 研究所講究録 1186 28 - 35 2001.01
Research paper (bulletin of university, research institution)
Single Work English
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An example of non-free Brownian motion with the Wigner semi-circle distribution
Naofumi Muraki
Proc. Second China and Japan Joint Symp. on Applied Mathematics and its Related Topics 121 - 129 2000.01
Research paper (international conference proceedings)
Part： 121-129頁
Single Work English
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Quantum Ito table and integral kernels for monotone Fock space
Naofumi Muraki
総合政策（岩手県立大学総合政策学会誌） 1 507 - 523 1999.12
Research paper (bulletin of university, research institution)
Single Work English
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Analogue of Poisson distribution in monotone Fock space
Naofumi Muraki
数理解析研究所講究録 1100 1 - 7 1999.06
Research paper (bulletin of university, research institution)
Single Work English
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A noncommutative Poisson process and law of small numbers
Naofumi Muraki
Proceedings of the China and Japan Joint Symposium onApplied Mathematics and its Related Topics 166 - 170 1998.12
Research paper (international conference proceedings)
Single Work English
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Independence, conditional expectation and martingales in permutational Fock space
Naofumi Muraki
Quantum Probability Communications 10 261 - 280 1998.07
Research paper (scientific journal)
Single Work English
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Entropy functionals of Kolmogorov-Sinai type and their limit theorems
Naohumi Muraki, Masanori Ohya
Lett. Math. Phys. 36 327 - 335 1996.03
Research paper (scientific journal)
Joint Work English
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Note on continuity of information rate
Naohumi Muraki, Masanori Ohya
Illinois J. Math. 36 529 - 550 1992.12
Research paper (scientific journal)
Joint Work English
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Entropies of general quantum states
Naohumi Muraki, Masanori Ohya, Denes Petz
Open Systems and Information Dynamics 1 43 - 56 1992.10
Research paper (scientific journal)
Single Work English
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Note on S-entropy
Naohumi Muraki
Quantum Probabilty and Related Topics 7 251 - 259 1992.10
Research paper (scientific journal)
Single Work English
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Remarks on continuity of entropy of states on C*-dynamical systems
Naohumi Muraki
J. Math. Phys. 32 1796 - 1798 1991.07
Research paper (scientific journal)
Single Work English
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On a generalization of Havrda-Charvat's alpha-entropy to relative alpha-entropy and its properties in a continuous system
Naohumi Muraki, Tomoaki Kawaguchi
Tensor, New Series 46 154 - 167 1987.12
Research paper (scientific journal)
Joint Work English