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植田 優基
ウエダ ユウキ UEDA Yuki 所 属 旭川校 職 名 准教授 |
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| 発表年月日 | 2025/04 |
| 発表テーマ | S-transform of polynomials and free probability |
| 会議名 | Bielefeld-Melbourne-Seoul Random Matrix Seminar |
| 発表区分 | 学会発表 |
| 発表形式 | 口頭（招待・特別） |
| 単独共同区分 | 単独 |
| 招待講演 | 招待講演 |
| 開催地名 | オンライン |
| 開催期間 | 2025/04/02 |
| 種別 | 国際的又は全国的規模 |
| 発表者・共同発表者 | Yuki Ueda |
| 概要 | 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. |