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植田 優基
ウエダ ユウキ UEDA Yuki 所 属 旭川校 職 名 講師 |
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| 発表年月日 | 2024/09 |
| 発表テーマ | The limiting behavior of empirical root distributions of polynomials and free probability |
| 会議名 | 2024 Open Japanese-German Conference on Stochastic Analysis |
| 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 | 北海道大学 |
| 開催期間 | 2024/09/09～2024/09/13 |
| 種別 | 国際的又は全国的規模 |
| 発表者・共同発表者 | 植田優基 |
| 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. To achieve it, we present how to relate the asymptotic behavior of the ratio of consecutive coefficients 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. |