Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index.
Page 1
Displaying 1 – 6 of 6
Remarks on Catalan and super-Catalan numbers
Anna Dorota Krystek, Łukasz Jan Wojakowski (2011)
Banach Center Publications
In this article we discuss the Catalan and super-Catalan (or Schröder) numbers. We start with some combinatorial interpretations of those numbers. We study two probability measures in the context of free probability, one whose moments are super-Catalan, and another, whose even moments are super-Catalan and odd moments are zero. With the use of the latter we also show some new formulae for evaluation of the Catalans in terms of super-Catalans and vice-versa.
Remarks on conditional moments of the free deformed Poisson random variables
Wiktor Ejsmont (2011)
Banach Center Publications
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.
Remarks on joint distributions of observables
Kazimierz Urbanik (1987)
Colloquium Mathematicum
Représentation de martingales d'opérateurs, d'après Parthasarathy-Sinha
Paul-André Meyer (1993)
Séminaire de probabilités de Strasbourg
Représentation des fonctions conditionnellement de type positif, d'après V.P. Belavkin
Paul-André Meyer (1993)
Séminaire de probabilités de Strasbourg
Currently displaying 1 – 6 of 6
Page 1