Results 11 to 20 of about 360 (29)
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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Quantum stochastic integrals as operators [PDF]
, 2010 We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra.
Andrzej Łuczak +10 more
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Convergence of joint moments for independent random patterned matrices [PDF]
, 2011 It is known that the joint limit distribution of independent Wigner matrices satisfies a very special asymptotic independence, called freeness. We study the joint convergence of a few other patterned matrices, providing a framework to accommodate other ...
Bose, Arup +2 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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Noncommutative Blackwell-Ross martingale inequality
, 2017 We establish a noncommutative Blackwell--Ross inequality for supermartingales under a suitable condition which generalize Khan's works to the noncommutative setting.
Moslehian, Mohammad Sal +2 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 study forward Quantum Markov Chains (QMC) defined on Cayley tree. A construction of such QMC is provided, namely we construct states on finite volumes with boundary conditions, and define QMC as a weak limit of those states which ...
Accardi, Luigi +2 more
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