New Trends in Lyapunov Exponents: Ntle, Lisbon, Portugal, February 7-11, 2022
暫譯: 李雅普諾夫指數的新趨勢：2022年2月7日至11日，葡萄牙里斯本，Ntle會議
Dias, João Lopes, Duarte, Pedro, Gaivão, José Pedro
相關主題
商品描述
This volume presents peer-reviewed surveys on new developments in the study of Lyapunov exponents in dynamical systems and its applications to other areas, such as mathematical physics.
Written by leading experts in their fields, the contributions are based upon the presentations given by invited speakers at the "New Trends in Lyapunov Exponents" workshop held in Lisbon, Portugal, February 7-11, 2022. The works focus on the concept of Lyapunov exponents in their various manifestations in dynamical systems along with their applications to mathematical physics and other areas of mathematics. The papers reflect the spirit of the conference of promoting new connections among different subjects in dynamical systems.
This volume aims primarily at researchers and graduate students working in dynamical systems and related fields, serving as an introduction to active fields of research and as a review of recent results as well.商品描述(中文翻譯)
本卷介紹了關於動態系統中Lyapunov指數研究的新發展的同行評審調查及其在其他領域（如數學物理）的應用。
本書由各自領域的領先專家撰寫，內容基於2022年2月7日至11日在葡萄牙里斯本舉辦的「Lyapunov指數的新趨勢」研討會上受邀演講者的報告。這些作品專注於Lyapunov指數在動態系統中的各種表現形式及其在數學物理和其他數學領域的應用。論文反映了會議的精神，即促進動態系統中不同主題之間的新聯繫。
本卷主要針對從事動態系統及相關領域的研究人員和研究生，作為活躍研究領域的介紹以及近期成果的回顧。
作者簡介
Pedro Miguel Duarte is an Associate Professor at Faculdade de Ciências - Universidade de Lisboa, Portugal. He did his PhD at the Institute of Pure and Applied Mathematics - IMPA, Brazil (1993). He does research on dynamical systems and ergodic theory, focusing on symplectic and conservative dynamics, random dynamical systems, billiards, evolutionary game dynamics and linear cocycles.
José Pedro Gaivão is an Assistant Professor at ISEG - Universidade de Lisboa, Portugal. He did his PhD at the University of Warwick, UK (2010). He does research on dynamical systems and ergodic theory, focusing on symplectic and conservative dynamics, random dynamical systems and billiards.
Silvius Klein is an Assistant Professor at the Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio), Brazil. He completed his PhD at the University of California, Los Angeles (UCLA) in 2005. He does research at the interface between dynamical systems and mathematical physics, focusing on statistical properties of linear cocycles and localization of discrete, ergodic Schrödinger operators.
Telmo Peixe is an Assistant Professor at ISEG - Universidade de Lisboa, Portugal. He did his PhD at the Universidade de Lisboa (2015), after getting a Master's degree from the same university. He does research on dynamical systems, focusing on differential equations and evolutionary game theory.
Jaqueline Siqueira is an Assistant Professor at the Universidade Federal do Rio de Janeiro, Brazil. She did her PhD at the Universidade FederalFluminense, Brazil (2013). Her research area is dynamical systems with an emphasis on ergodic theory and, more particularly, on thermodynamic formalism.
Maria Joana Torres is an Assistant Professor at Escola de Ciências - Universidade do Minho, Braga, Portugal. She did her PhD at the Universidade de Lisboa, Portugal (2004), after getting a Master's degree from the Universidade do Porto, Portugal. She does research on dynamical systems, focusing on symplectic and conservative dynamics, random dynamical systems, generic properties of dynamical systems and Lyapunov exponents.作者簡介(中文翻譯)
喬亞· 洛佩斯·迪亞斯是葡萄牙里斯本大學ISEG的副教授。他於2002年在英國劍橋大學獲得博士學位，研究領域為哈密頓動力學和重正化。他目前的研究興趣包括準周期運動、KAM理論、動態系統的通用性質和李雅普諾夫指數。
佩德羅·米格爾·杜阿特是葡萄牙里斯本大學科學學院的副教授。他於1993年在巴西純粹與應用數學研究所（IMPA）獲得博士學位。他的研究集中在動態系統和遍歷理論，特別是辛動力學和保守動力學、隨機動態系統、撞球、進化博弈動力學和線性共循環。
何塞·佩德羅·蓋瓦奧是葡萄牙里斯本大學ISEG的助理教授。他於2010年在英國華威大學獲得博士學位。他的研究集中在動態系統和遍歷理論，特別是辛動力學和保守動力學、隨機動態系統和撞球。
西爾維烏斯·克萊因是巴西里約熱內盧天主教大學（PUC-Rio）的助理教授。他於2005年在加州大學洛杉磯分校（UCLA）獲得博士學位。他的研究位於動態系統和數學物理的交界處，專注於線性共循環的統計性質和離散的遍歷薛丁格算子的局部化。
泰爾莫·佩謝是葡萄牙里斯本大學ISEG的助理教授。他於2015年在里斯本大學獲得博士學位，之前在同一所大學獲得碩士學位。他的研究集中在動態系統，特別是微分方程和進化博弈論。
賈克琳·西基拉是巴西里約熱內盧聯邦大學的助理教授。她於2013年在巴西弗魯米嫩塞聯邦大學獲得博士學位。她的研究領域是動態系統，重點在於遍歷理論，特別是熱力學形式主義。
瑪麗亞·喬安娜·托雷斯是葡萄牙布拉加米尼奧大學科學學院的助理教授。她於2004年在葡萄牙里斯本大學獲得博士學位，之前在葡萄牙波爾圖大學獲得碩士學位。她的研究集中在動態系統，特別是辛動力學和保守動力學、隨機動態系統、動態系統的通用性質和李雅普諾夫指數。
