Results 11 to 20 of about 379 (45)
Radial Bargmann representation for the Fock space of type B [PDF]
, 2016 Let $\nu_{\alpha,q}$ be the probability and orthogonality measure for the $q$-Meixner-Pollaczek orthogonal polynomials, which has appeared in \cite{BEH15} as the distribution of the $(\alpha,q)$-Gaussian process (the Gaussian process of type B) over the $
Asai N. +10 more
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Local approximation of observables and commutator bounds
, 2011 We discuss conditional expectations that can be used as generalizations of the partial trace for quantum systems with an infinite-dimensional Hilbert space of ...
Janas, Jan +3 more
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, 2010 In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.
Hasebe, Takahiro, Saigo, Hayato
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Kolmogorov's law of the iterated logarithm for noncommutative martingales
, 2014 We prove Kolmogorov's law of the iterated logarithm for noncommutative martingales. The commutative case was due to Stout.
Zeng, Qiang
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Approximation of quantum Levy processes by quantum random walks [PDF]
, 2007 Every quantum Levy process with a bounded stochastic generator is shown to arise as a strong limit of a family of suitably scaled quantum random walks.Comment: 7 ...
Franz, Uwe, Skalski, Adam
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A quantum probabilistic approach to Hecke algebras for $\mathfrak{p}$-adic ${\rm PGL}_2$
, 2018 The subject of the present paper is an application of quantum probability to $p$-adic objects. We give a quantum-probabilistic interpretation of the spherical Hecke algebra for ${\rm PGL}_2(F)$, where $F$ is a $p$-adic field.
Hasegawa, Takehiro +3 more
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On the computation of classical, boolean and free cumulants
, 2008 This paper introduces a simple and computationally efficient algorithm for conversion formulae between moments and cumulants. The algorithm provides just one formula for classical, boolean and free cumulants.
Di Nardo, E., Oliva, I.
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Cones in homotopy probability theory [PDF]
, 2014 This note defines cones in homotopy probability theory and demonstrates that a cone over a space is a reasonable replacement for the space. The homotopy Gaussian distribution in one variable is revisited as a cone on the ordinary Gaussian.Comment: 8 ...
Drummond-Cole, Gabriel C., Terilla, John
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, 2012 We investigate Laha-Lukacs properties of noncommutative random variables (processes). We prove that some families of free Meixner distributions can be characterized by the conditional moments of polynomial functions of degree 3.
Ejsmont, Wiktor
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Cumulants in noncommutative probability II. Generalized Gaussian random variables
, 2003 We continue the investigation of noncommutative cumulants. In this paper various characterizations of noncommutative Gaussian random variables are proved.Comment: 14 pages, AMS-LaTeX; many corrections according to the referee; to appear in Prob Th ...
Lehner, Franz
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