56 citations · 363 across the 34 of their papers we have counts for
44 papers
Free Perpetuities I: Existence, Subordination and Tail Asymptotics
Serban Belinschi, Bartosz Kołodziejek, Kamil Szpojankowski
We study the free analogue of the classical affine fixed-point (or perpetuity) equation \[ \mathbb{X} \stackrel{d}{=} \mathbb{A}^{1/2}\mathbb{X}\,\mathbb{A}^{1/2} + \mathbb{B}, \]…
On the support of free convolutions
Serban Belinschi, Hari Bercovici, Ching-Wei Ho
We extend to arbitrary measures results of Bao, Erdös, Schnelli, Moreillon, and Ji on the connectedness of the supports of additive convolutions of measures on \mathbb{R} and of fr…
Iteration theory of noncommutative maps
Serban T. Belinschi, Eli Shamovich
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 m…
Upgrading subordination properties in free probability theory
Hari Bercovici, Serban T. Belinschi
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 method…
The Brown measure of a sum of two free random variables, one of which is triangular elliptic
Serban Belinschi, Zhi Yin, Ping Zhong
The triangular elliptic operators are natural extensions of the elliptic deformation of circular operators. We obtain a Brown measure formula for the sum of a triangular elliptic o…
Regularity for free multiplicative convolution on the unit circle
Serban T. Belinschi, Hari Bercovici, Ching-Wei Ho
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. Ana…