Franz Lehner

collaborators

3 papers

math.OA2026

On the Brown measure of $x + i y$ , with $x, y$ selfadjoint and $y$ free Poisson

Franz Lehner, Alexandru Nica, Kamil Szpojankowski +1

Let $x, y$ be freely independent selfadjoint elements in a $W^{*}$ -probability space, where $y$ has free Poisson distribution of parameter $p$ . We pursue a methodology for computing…

math.OA2026

Polynomials in $c$ -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…

math.OA2024

Free Integral Calculus I

Franz Lehner, Kamil Szpojankowski

We study the problem of conditional expectations in free random variables and provide closed formulas for the conditional expectation of resolvents of arbitrary non-commutative pol…

On the Brown measure of x+iy, with x,y selfadjoint and y free Poisson

Polynomials in c-free random variables with applications to free denoising

Free Integral Calculus I

On the Brown measure of $x + i y$ , with $x, y$ selfadjoint and $y$ free Poisson

Polynomials in $c$ -free random variables with applications to free denoising