Free probability of type <i>B</i>: analytic interpretation and applications

Free Probability of Type B: Analytic Interpretation and Applications

In this paper we give an analytic interpretation of free convolution of type B, and provide a new formula for its computation. This formula allows us to show that free additive convolution of type B is essentially a re-casting of conditionally free convolution. We put in evidence several aspects of this operation, the most significant being its apparition as an “intertwiner” between derivation ...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Free Probability, Free Entropy and Applications to von Neumann Algebras

1. Non-commutative probability spaces In general, a non-commutative probability space is a pair (A, τ), where A is a unital algebra (over the field of complex numbers C) and τ a linear functional with τ(I) = 1, where I is the identity of A. Elements of A are called random variables. Since positivity is a key concept in (classical) probability theory, this can be captured by assuming that A is a...

Applications of Analytic Network Process in Entertainment

Decoherence functional and probability interpretation.

We confirm that the diagonal elements of the Gell-Mann and Hartle’s decoherence functional are equal to the relative frequencies of the results of many identical experiments, when a set of alternative histories decoheres. We consider both cases of the pure and mixed initial states.