Results 21 to 29 of about 360 (29)

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
core   +1 more source

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
core   +1 more source

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
core  

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
core   +1 more source

Extreme Points of the Convex Set of Joint Probability Distributions with Fixed Marginals

, 2007
By using a quantum probabilistic approach we obtain a description of the extreme points of the convex set of all joint probability distributions on the product of two standard Borel spaces with fixed marginal ...
Parthasarathy, K. R.
core   +2 more sources

Bimonotone Brownian Motion

, 2017
We define bi-monotone independence, prove a bi-monotone central limit theorem and use it to study the distribution of bi-monotone Brownian motion, which is defined as the two-dimensional operator process with monotone and antimonotone Brownian motion as ...
Gerhold, Malte
core  

Spreadability for Quantum Stochastic Processes, with an Application to Boolean Commutation Relations. [PDF]

Entropy (Basel), 2020
Crismale V, Fidaleo F, Griseta ME.
europepmc   +1 more source

Isometric Dilations of Representations of Product Systems via Commutants

, 2006
We construct a weak dilation of a not necessarily unital CP-semigroup to an E-semigroup acting on the adjointable operators of a Hilbert module with a unit vector.
Michael Skeide, Via Commutants
core   +1 more source

Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]

Probab Theory Relat Fields
De Vecchi F, Fresta L, Gordina M, Gubinelli M.   +3 more
europepmc   +1 more source