AbstractWe use the theory of fully matricial, or non-commutative, functions to investigate infinite divisibility and limit theorems in operator-valued non-commutative probability. Our main result is an operator-valued analogue for the Bercovici–Pata bijection. An important tool is Voiculescuʼs subordination property for operator-valued free convolution
AbstractFree probabilistic considerations of type B first appeared in the paper of Biane, Goodman an...
The main theme of this thesis is to develop de Finetti type theorems in noncommutative probability. ...
AbstractWe prove that the classical normal distribution is infinitely divisible with respect to the ...
Thesis (PhD) - Indiana University, Mathematics, 2005We study convolutions that arise from noncommuta...
Boolean, free and monotone cumulants as well as relations among them, have proven to be important in...
In this paper additive bi-free convolution is defined for general Borel probability measures, and th...
AbstractLet Dc(k) be the space of (non-commutative) distributions of k-tuples of selfadjoint element...
AbstractConsidering a random variable as a multiplication operator by a measurable function, a natur...
In this paper we continue our studies, initiated in [BT1],[BT2] and [BT3], of the con-nections betwe...
We will investigate several related problems in Operator Theory and Free Probability. The notion of...
Latex, 20 pages, version extended to study Julia-Caratheodory derivatives for the functions involved...
We will investigate several related problems in Operator Theory and Free Probability. The notion of...
Free probability is a non-commutative analogue of probability theory. Recently, Voiculescu has intro...
Elements in a noncommutative operator algebra can be regarded as noncommutative random variables fro...
The paper can be regarded as a short and informal introduction to noncommutative calculi of probabil...
AbstractFree probabilistic considerations of type B first appeared in the paper of Biane, Goodman an...
The main theme of this thesis is to develop de Finetti type theorems in noncommutative probability. ...
AbstractWe prove that the classical normal distribution is infinitely divisible with respect to the ...
Thesis (PhD) - Indiana University, Mathematics, 2005We study convolutions that arise from noncommuta...
Boolean, free and monotone cumulants as well as relations among them, have proven to be important in...
In this paper additive bi-free convolution is defined for general Borel probability measures, and th...
AbstractLet Dc(k) be the space of (non-commutative) distributions of k-tuples of selfadjoint element...
AbstractConsidering a random variable as a multiplication operator by a measurable function, a natur...
In this paper we continue our studies, initiated in [BT1],[BT2] and [BT3], of the con-nections betwe...
We will investigate several related problems in Operator Theory and Free Probability. The notion of...
Latex, 20 pages, version extended to study Julia-Caratheodory derivatives for the functions involved...
We will investigate several related problems in Operator Theory and Free Probability. The notion of...
Free probability is a non-commutative analogue of probability theory. Recently, Voiculescu has intro...
Elements in a noncommutative operator algebra can be regarded as noncommutative random variables fro...
The paper can be regarded as a short and informal introduction to noncommutative calculi of probabil...
AbstractFree probabilistic considerations of type B first appeared in the paper of Biane, Goodman an...
The main theme of this thesis is to develop de Finetti type theorems in noncommutative probability. ...
AbstractWe prove that the classical normal distribution is infinitely divisible with respect to the ...
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