Analysis Techniques for Mathematical Physics and Geometry - And Music: Festum Pi, Chania, 2024
暫譯: 數學物理與幾何的分析技術——以及音樂：Festum Pi，Chania，2024
Alikakos, Nicholas D., Villani, Cédric
相關主題
商品描述
This volume includes expanded lecture notes from the Mathemata Summer School and Festum Pi 2024 conference, held in Chania, Crete, in July 2024. The lectures focus on advanced analysis techniques for tackling problems in mathematical physics, covering recent advancements in the study of phase transitions, interacting particle systems, kinetic theory, qualitative properties of degenerate Vlasov equations, optimal transport methods for parabolic diffusion equations, and Ricci flow. This volume serves as a valuable resource for researchers exploring modern developments in mathematical analysis. Additionally, it includes two lectures on music theory, reflecting the spirit of Festum Pi 2024.
商品描述(中文翻譯)
本書收錄 Mathemata Summer School and Festum Pi 2024 conference 的擴充講義。該活動於 2024 年 7 月在克里特島干尼亞（Chania, Crete）舉行。講座聚焦於解決數理物理問題的進階分析技術，涵蓋相變研究的最新進展、交互作用粒子系統、動力學理論、退化 Vlasov 方程的定性性質、拋物擴散方程的最佳傳輸方法，以及 Ricci 流。本書為探索現代數學分析發展的研究人員提供了極具價值的參考資源。此外，本書也收錄兩場音樂理論講座，展現 Festum Pi 2024 的精神。
作者簡介
Cédric Villani is a french mathematician (Université de Lyon) very much involved in public debate. His research in mathematical physics, at the crosspoint between probability, analysis and geometry, and particularly on the equations of gases and plasmas, won him the Fields medal in 2010, among other awards. His passion at writing synthesis books and lecture notes won him the Doob Prize of the AMS for his reference book « Optimal transport, old and new ». Involved in politics and public debates, he has done public lectures by the thousands, and sat in Parliament for five years. He is currently the president of the Fondation de l'écologie politique.
Nicholas D. Alikakos received his PhD from Brown University in 1978. He subsequently served on the faculties of the University of Tennessee, Purdue University, and the University of Crete, before being appointed Professor at the University of Athens in 1993. He has also held short-term visiting positions at several universities and research centres, including Heriot-Watt University, Stanford University, the Courant Institute (New York), Université Pierre et Marie Curie (Paris), and the Max-Planck Institute (Leipzig). His principal contributions are in the theory of reaction-diffusion equations, in diffused vs. sharp interface dynamics, in singular perturbations, and in the calculus of variations.
In his spare time, he relaxes by playing the piano.
作者簡介(中文翻譯)
Cédric Villani 是一位法國數學家（Université de Lyon），長期積極參與公共議題。他在數學物理領域的研究，位於機率論、分析與幾何的交會處，尤其專注於氣體與電漿方程式；這些研究使他於 2010 年獲得 Fields Medal，以及其他多項獎項。他熱衷於撰寫綜合性書籍與講義，並憑藉其參考著作《Optimal transport, old and new》獲得 AMS 的 Doob Prize。他積極參與政治與公共議題，曾進行數千場公開演講，並擔任五年國會議員。目前，他是 Fondation de l'écologie politique 的主席。
Nicholas D. Alikakos 於 1978 年取得 Brown University 的博士學位。之後，他先後任教於 University of Tennessee、Purdue University 與 University of Crete，並於 1993 年獲任命為 University of Athens 教授。他也曾以短期客座身分任職於多所大學與研究中心，包括 Heriot-Watt University、Stanford University、Courant Institute（New York）、Université Pierre et Marie Curie（Paris）以及 Max-Planck Institute（Leipzig）。他的主要貢獻包括反應－擴散方程式理論、擴散界面與銳利界面動力學、奇異微擾，以及變分法。
閒暇時，他會彈奏鋼琴放鬆。
