13 citations · 39 across the 22 of their papers we have counts for
3 papers · 1 filter
Quadratic polynomials preserving free infinite divisibility
Wiktor Ejsmont, Franz Lehner, Mihai Popa +1
We characterize non-commutative polynomials of degree 2 which preserve free infinite divisibility as self-adjoint Lie polynomials of degree 2. This extends previous results which c…
On the empirical spectral distribution of matrix perpetuities
Bartosz Kołodziejek, Kamil Szpojankowski
We study matrix perpetuities, that is, solutions to affine fixed-point equations of the form \[ \mathbf{X} \stackrel{d}{=} \mathbf{A}\,\mathbf{X} \,\mathbf{A}^\top+\mathbf{B},\qqua…
Polynomials in -free random variables with applications to free denoising
Adrian Celestino, Franz Lehner, Kamil Szpojankowski
We study distributions of polynomials in conditionally free (c-free) random variables, a notion of independence for two-state noncommutative probability spaces introduced by Bozejk…