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東京確率論セミナー
過去の記録 ～04/30｜次回の予定｜今後の予定 05/01～
| 開催情報 | 月曜日 16:00～17:30 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 佐々田槙子、中島秀太（明治大学） |
| セミナーURL | https://sites.google.com/view/tokyo-probability-seminar23/2024年度 |
2023年04月24日(月)
17:00-18:30 数理科学研究科棟(駒場) 126号室
Charles Bordenave 氏 (Institut de Mathématiques de Marseille)
Mobility edge, the Poisson Infinite weighted tree of Aldous and Lévy Matrices (English)
Charles Bordenave 氏 (Institut de Mathématiques de Marseille)
Mobility edge, the Poisson Infinite weighted tree of Aldous and Lévy Matrices (English)
[ 講演概要 ]
Anderson's 1958 paper on wave scattering in disordered media is still of central importance in contemporary mathematical physics. In this talk, we will present recent progress in understanding the phenomena of localization / delocalization of eigenwaves for some random operators. These operators are built on random trees introduced by Aldous and these are the scaling limits of heavy-tailed random matrices, the Lévy matrices. The focus will be put on the existence of a mobility edge, that is to say of かn abrupt transition between localization and delocalization of eigenwaves. It is a work in collaboration with Amol Aggarwal (Columbia) and Patrick Lopatto (NYU).
Anderson's 1958 paper on wave scattering in disordered media is still of central importance in contemporary mathematical physics. In this talk, we will present recent progress in understanding the phenomena of localization / delocalization of eigenwaves for some random operators. These operators are built on random trees introduced by Aldous and these are the scaling limits of heavy-tailed random matrices, the Lévy matrices. The focus will be put on the existence of a mobility edge, that is to say of かn abrupt transition between localization and delocalization of eigenwaves. It is a work in collaboration with Amol Aggarwal (Columbia) and Patrick Lopatto (NYU).
