Zobrazeno 1 - 10
of 291
pro vyhledávání: '"Serban T"'
Autor:
Belinschi, Serban T., Shamovich, Eli
This note aims to study the iteration theory of noncommutative self-maps of bounded matrix convex domains. We prove a version of the Denjoy-Wolff theorem for the row ball and the maximal quantization of the unit ball of $\mathbb{C}^d$. For more gener
Externí odkaz:
http://arxiv.org/abs/2310.03549
Autor:
Bercovici, Hari, Belinschi, Serban T.
The existence of Voiculescu's subordination functions in the context of non-tracial operator-valued C*-probability spaces has been established using analytic function theory methods. We use a matrix construction to show that the subordination functio
Externí odkaz:
http://arxiv.org/abs/2209.12710
Publikováno v:
Pacific J. Math. 322 (2023) 243-250
It is shown that the free multiplicative convolution of two nondegenerate probability measures on the unit circle has no continuous singular part relative to arclength measure. Analogous results have long been known for free additive convolutions on
Externí odkaz:
http://arxiv.org/abs/2205.07114
We introduce from an analytic perspective Christoffel-Darboux kernels associated to bounded, tracial noncommutative distributions. We show that properly normalized traces, respectively norms, of evaluations of such kernels on finite dimensional matri
Externí odkaz:
http://arxiv.org/abs/2106.06212
Publikováno v:
Comm. Math. Phys. 341 (2016), no. 3, 885--909
In a previous paper, we proved that the limit of the collection of possible eigenvalues of output states of a random quantum channel is a deterministic, compact set K_{k,t}. We also showed that the set K_{k,t} is obtained, up to an intersection, as t
Externí odkaz:
http://arxiv.org/abs/1305.1567
Publikováno v:
Pacific Journal of Mathematics. 322:243-250
It is shown that the free multiplicative convolution of two nondegenerate probability measures on the unit circle has no continuous singular part relative to arclength measure. Analogous results have long been known for free additive convolutions on
We give an explicit description, via analytic subordination, of free multiplicative convolution of operator-valued distributions. In particular, the subordination function is obtained from an iteration process. This algorithm is easily numerically im
Externí odkaz:
http://arxiv.org/abs/1209.3508
We prove that the integral powers of the semicircular distribution are freely infinitely divisible. As a byproduct we get another proof of the free infnite divisibility of the classical Gaussian distribution.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1207.7258
Publikováno v:
Trans. Amer. Math. Soc. 365 (2013), 2063-2097
We consider the framework of an operator-valued noncommutative probability space over a unital C*-algebra B. We show how for a B-valued distribution \mu one can define convolution powers with respect to free additive convolution and with respect to B
Externí odkaz:
http://arxiv.org/abs/1107.2894
We study of the connection between operator valued central limits for monotone, Boolean and free probability theory, which we shall call the arcsine, Bernoulli and semicircle distributions, respectively. In scalar-valued non-commutative probability t
Externí odkaz:
http://arxiv.org/abs/1008.5205