2 papers
math.PR2025
Free Perpetuities I: Existence, Subordination and Tail Asymptotics
Serban Belinschi, Bartosz KoÅodziejek, Kamil Szpojankowski
We study the free analogue of the classical affine fixed-point (or perpetuity) equation \[ \mathbb{X} \stackrel{d}{=} \mathbb{A}^{1/2}\mathbb{X}\,\mathbb{A}^{1/2} + \mathbb{B}, \]…
math.OA2024
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 f…