Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index.
Florin Radulescu (1994)
Inventiones mathematicae
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Florin Radulescu (1994)
Inventiones mathematicae
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Alice R. Trenholme (1988)
Mathematische Zeitschrift
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Dimitri Shlyakhtenko (1998)
Banach Center Publications
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Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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Marcin Przystalski (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider products of a random number of partial sums of independent, identically distributed, positive square-integrable random variables. We show that the distribution of these products is asymptotically lognormal.
Manfred Wolff (1979)
Monatshefte für Mathematik
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Paolo M. Soardi (1986)
Mathematische Zeitschrift
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R.P. Osborne, H. Zieschang (1981)
Inventiones mathematicae
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R. Kaufman (1970)
Studia Mathematica
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W. Dziubdziela (1976)
Applicationes Mathematicae
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Richard Kenyon, Yuval Peres (1991)
Inventiones mathematicae
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Wiktor Ejsmont (2011)
Banach Center Publications
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We will show that the conditional first moment of the free deformed Poisson random variables (q = 0) corresponding to operators fulfilling the free relation is a linear function of the regression and the conditional variance also is a linear function of the regression. For this purpose we will first demonstrate some properties of the Wick product and then we will concentrate on the free deformed Poisson random variables.
Mustafa, Ghulam, Nosh, Nusrat Anjum, Rashid, Abdur (2005)
Lobachevskii Journal of Mathematics
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