Results 21 to 30 of about 391 (37)

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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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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Characterizations of some free random variables by properties of conditional moments of third degree polynomials

, 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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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, Sadeghi, Ghadir, Talebi, Ali   +2 more
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On Quantum Markov Chains on Cayley tree I: uniqueness of the associated chain with XY-model on the Cayley tree of order two

, 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, Mukhamedov, Farrukh, Saburov, Mansoor   +2 more
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De Finetti theorem on the CAR algebra

, 2012
The symmetric states on a quasi local C*-algebra on the infinite set of indices J are those invariant under the action of the group of the permutations moving only a finite, but arbitrary, number of elements of J.
A. Connes, A. Leverrier, A. Leverrier, B. De Finetti, C Köstler, C. Köstler, C. Sutherland, D.A. Freedman, E. Hewitt, E. Størmer, E. Størmer, F. Fidaleo, F. Lehner, Francesco Fidaleo, H. Araki, H. Araki, H. Bauer, L. Accardi, L. Accardi, L. Accardi, M. Christandl, M. Fannes, P. Diaconis, R. Renner, R.L. Hudson, S.D. Barreto, T. Matsui, Vitonofrio Crismale   +27 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, Kurasov, Pavel, Laptev, Ari, Naboko, Sergei   +3 more
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Monotone, free, and boolean cumulants: a shuffle algebra approach

, 2018
The theory of cumulants is revisited in the "Rota way", that is, by following a combinatorial Hopf algebra approach. Monotone, free, and boolean cumulants are considered as infinitesimal characters over a particular combinatorial Hopf algebra. The latter
Ebrahimi-Fard, Kurusch, Patras, Frederic
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A Factorization Theorem for $\varphi$--Maps

, 2012
We present a far reaching generalization of a factorization theorem by Bhat, Ramesh, and Sumesh (stated first by Asadi) and furnish a very quick proof.Comment: Reivised according to the referee's suggestions (now 5 pages); to appear in Journal of ...
Skeide, Michael
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