Statistical and Number-Theoretical Aspects of Dynamical Systems

动力系统的统计和数论方面

• 批准号: RGPIN-2016-03901
• 负责人: Cellarosi, Francesco
• 金额: $ 1.46万
• 依托单位: Queen's University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635214
• 关键词: Statistical; Number; Theoretical; Aspects; Dynamical

My research program consists of several projects at the crossroad of dynamics, probability theory, ergodic theory, number theory, and mathematical physics. My broad aim is two-fold: I plan to understand the long-time behaviour of large classes of dynamical systems to address open questions in dynamics and ergodic theory, and at the same time I intend to explore the applications of novel dynamical tools to solve problems in other disciplines, thus developing a dynamical framework to study several mathematical objects outside the realm of dynamics.

我的研究项目包括动力学、概率论、遍历理论、数论和数学物理交叉领域的几个项目。我的主要目标有两个：我计划了解大量动力系统的长期行为，以解决动力学和遍历理论中的开放性问题，同时我打算探索新颖的动力工具的应用来解决其他学科中的问题，从而开发出一个动力学框架来研究动力学领域之外的几个数学对象。