Houston Summer School on Dynamical Systems

该奖项支持参加2019年6月在休斯顿大学为研究生举办的休斯顿动态系统暑期学校(HSSDS)。为期8天的2019年HSSDS研讨会将汇集来自全国各地机构的约40名研究生，以及10-15名优秀本科生，他们将提前几天到达，并将接受一系列背景讲座，为他们提供参加主要活动所需的一些工具。2019年HSSDS研讨会的目标是向学生介绍动力系统的基本技术和最新进展，强调概率观点。2019年HSSDS研讨会的每位讲师将为学生提供他或她所在领域的适当鸟瞰。探索性演讲将从广泛的角度呈现动态，强调其应用以及与其他科学领域的联系。学校将展示课本上没有的最新成果和技术，或者以研究生容易理解的形式展示。它将介绍概率动力学、混沌动力学和量子系统动力学的最新发展。2019年HSSDS研讨会还将包括更专业的主题，如非一致双曲动力学的统计性质、量子漫步以及平面和平移流上的动力学。动力学在复杂物理系统建模中的应用将是一个主要主题。更多信息请访问：https://www.math.uh.edu/dynamics/school/school2019/This奖项反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award supports participation in the Houston Summer School on Dynamical Systems (HSSDS) for graduate students, held in June 2019 at the University of Houston. The 8-day 2019 HSSDS workshop will bring together approximately 40 graduate students from institutions across the country, along with 10-15 exceptional undergraduates, who will arrive several days earlier and will receive a series of background lectures giving them some of the tools they need to attend the main event. The goal of the 2019 HSSDS workshop is to introduce students both to fundamental techniques and recent progress in dynamical systems, emphasizing a probabilistic viewpoint. Each lecturer in the 2019 HSSDS workshop will give students an appropriate bird's-eye view of the area in which he or she is working.Expository talks will present dynamics from a broad perspective, stressing its applications and connections with other areas of science. The school will present recent results and techniques that are not available in textbooks or in a form easily accessible to graduate students. It will introduce recent developments in probabilistic dynamics, chaotic dynamics, and dynamics of quantum systems. The 2019 HSSDS workshop will also include more specialized topics such as statistical properties of non-uniformly hyperbolic dynamics, quantum walks, and dynamics on flat surfaces and translation flows. Applications of dynamics to the modeling of complex physical systems will be a major theme. More information can be found at: https://www.math.uh.edu/dynamics/school/school2019/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.