Alexandru Nica

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math.OA2025

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.OA2024

Free denoising via overlap measures and c-freeness techniques

Maxime Fevrier, Alexandru Nica, Kamil Szpojankowski

We study the problem of free denoising. For free selfadjoint random variables $a, b$ , where we interpret $a$ as a signal and $b$ as noise, we find $E (a ∣ a + b)$ . To that end, we study…

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

Free denoising via overlap measures and c-freeness techniques

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