Wednesday, April 2, 2025 - 09:00 in Zoom
S-transform of polynomials and free probability
A talk in the Seminar Zufallsmatrizen series by
Yuki Ueda
| Abstract: |
The purpose of this talk is to understand the limiting behavior of empirical root distributions of polynomials when the degree tends to infinity in the framework of free probability. More precisely, we present how to relate the asymptotic behavior of the ratio of consecutive coefficients (namely, finite S-transform) of polynomials and Voiculescu’s S-transform (from free probability) of limiting empirical root distribution of the polynomials as the degree tends to infinity. This is a joint work with Octavio Arizmendi, Katsunori Fujie and Daniel Perales.
Within the CRC this talk is associated to the project(s): C6 |
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