Results 11 to 20 of about 391 (37)
, 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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Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
Leibniz seminorms in probability spaces [PDF]
, 2014 In this paper we study the (strong) Leibniz property of centered moments of bounded random variables. We shall answer a question raised by M.
Besenyei, Adam, Leka, Zoltan
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Mappings preserving Segal's entropy in von Neumann algebras
Annales Academiae Scientiarum Fennicae: Mathematica, 2019 We investigate the situation when a normal positive linear unital map on a semifinite von Neumann algebra leaving the trace invariant does not change the Segal entropy of the density of a normal, not necessarily normalised, state.
A. Luczak, H. Podsędkowska
semanticscholar +1 more source
The q-deformed convolutions: examples and applications to moment problem
, 2010 The paper provides examples of the q -convolution and the (p,q) -convolution, which put some light on how complicated these operations are. They show that the q -convolution of two Dirac delta’s need not be compactly supported and that the (1,1 ...
A. Kula
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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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, 2010 In the present paper we define and study the properties of a deformation of measures and convolutions that works in a similar way to the Ut deformation of Bożejko and Wysoczański, but in its definition operates on two levels of Jacobi coefficients of a ...
Łukasz Jan Wojakowski
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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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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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A note on Boolean stochastic processes [PDF]
, 2014 For the quantum stochastic processes generated by the Boolean Commutation Relations, we prove the following version of De Finetti Theorem: each of such Boolean process is exchangeable if and only if it is independent and identically distributed with ...
Fidaleo, francesco
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