Search
Search Results
-
A Short Proof for the Twisted Multiplicativity Property of the Operator-Valued S-transform
We provide a short proof for the twisted multiplicativity property of the operator-valued S-transform.
-
Conditionally Free Probability
That paper considers the introdution to free probability with two states. The main results are connected with quantum channels. We have proved that a...
-
Non-Gaussian Random Bi-matrix Models for Bi-free Central Limit Distributions with Positive Definite Covariance Matrices
In this paper, we construct random two-faced families of matrices with non-Gaussian entries to approximate a bi-free central limit distribution with...
-
Semicircular Elements Induced by Projections on Separable Hilbert Spaces
In this paper, we construct semicircular elements from mutually orthogonal projections on the separable Hilbert space l2(N0). They act on...
-
Multidimensional compound Poisson distributions in free probability
Inspired by Speicher's multidimensional free central limit theorem and semicircle families, we prove an infinite dimensional compound Poisson limit...
-
Semicircular-like, and Semicircular Laws Induced by Certain C ∗ -probability Spaces over the Finite Adele Ring A ℚ
Starting from the finite Adele ring A ℚ, we construct certain C ∗ -probability spaces under...
-
Semiclassical asymptotics of \(\mathbf {GL}_N({\mathbb {C}})\) tensor products and quantum random matrices
The Littlewood–Richardson process is a discrete random point process arising from the isotypic decomposition of tensor products of irreducible...
-
Principal Functions for Bi-free Central Limit Distributions
We find the principal function of the completely non-normal operator l ( v 1 ) + l ( v 1 )* + i ( r ( v 2 ) + r ( v 2 )*) on a subspace of the full Fock space
... -
Free analysis and random matrices
We describe the Schwinger–Dyson equation related with the free difference quotient. Such an equation appears in different fields such as...
-
Knots, groups, subfactors and physics
Groups have played a big role in knot theory. We show how subfactors (subalgebras of certain von Neumann algebras) lead to unitary representations of...
-
Multi-dimensional Semicircular Limits on the Free Wigner Chaos
We show that, for sequences of vectors of multiple Wigner integrals with respect to a free Brownian motion, componentwise convergence to semicircular...
-
Random matrix models of stochastic integral type for free infinitely divisible distributions
The Bercovici-Pata bijection maps the set of classical infinitely divisible distributions to the set of free infinitely divisible distributions. The...
-
A simple separable exact C*-algebra not anti-isomorphic to itself
We give an example of an exact, stably finite, simple, separable C*-algebra D which is not isomorphic to its opposite algebra. Moreover, D has the...
-
Finite Diagonal Random Matrices
The goal of this article is to extend some results of Popescu (Probab. Theory Relat. Fields 144:179,
2009 ) in several directions. We establish the... -
Support convergence in the single ring theorem
We study the eigenvalues of non-normal square matrices of the form A n = U n T n V n with U n , V n independent Haar distributed on the unitary group...
-
Freeness and matrix decompositions
If a semicircular element and the diagonal subalgebra of a matrix algebra are free in a finite von Neumann algebra (with respect to a normal trace),...