13 citations · 39 across the 22 of their papers we have counts for
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On the Brown measure of , with selfadjoint and free Poisson
Franz Lehner, Alexandru Nica, Kamil Szpojankowski +1
Let be freely independent selfadjoint elements in a -probability space, where has free Poisson distribution of parameter . We pursue a methodology for computing…
On some properties of free commutators with semicircular variables
Mihai Popa, Kamil Szpojankowski
We investigate commutators of free variables of the form \( i[x, s] \), where \( s \) is a semicircular element. We show that although \( s \) and \( i[x, s] \) are not free, their…
Free Askey--Wilson functionals and geometric last passage percolation on a strip
Wlodek Bryc, Kamil Szpojankowski, Jacek Wesolowski
Barraquand, Corwin, and Yang arXiv:2306.05983 established that geometric last passage percolation (LPP) on a strip of has a unique stationary measure. Building on th…
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 \[ \mathbb{X} \stackrel{d}{=} \mathbb{A}^{1/2}\mathbb{X}\,\mathbb{A}^{1/2} + \mathbb{B}, \]…