Summer school at the UW: Stochastic equations for complex systems: Theory and applications

华盛顿大学暑期学校：复杂系统的随机方程：理论与应用

• 批准号: 1416689
• 负责人: Hakima Bessaih
• 金额: $ 4.64万
• 依托单位: University of Wyoming
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-03-01 至 2015-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1416689&HistoricalAwards=false
• 关键词: Summer; UW; Stochastic; equations; complex

This award supports participation in a summer school on complex random systems, to be held at the University of Wyoming, May 27--June 6, 2014. Understanding and ability to predict the behavior of complex random systems is critical, for example, to weather and climate predictions and to nanoscale technology. The summer school will focus on the ongoing development of theoretical methods and applications in these areas. The aim is to provide a stimulating intellectual environment for interactions among researchers with different backgrounds. The school is primarily oriented towards PhD students, young and experienced researchers and professionals working in related areas. This summer school is especially aimed at encouraging female students and early career researchers in mathematics. The interest and enthusiasm of these young students are the motivating factor in organizing this summer school. This school will further advance this development throughout the region, while training U.S. junior mathematicians and students for international collaborative research. The summer school materials will be widely distributed by the publication of a textbook. Taking stochastic effects into account is of central importance for the development of mathematical models of complex phenomena that affected by uncertainty. Macroscopic models for these systems can include randomness in several ways. The theories of random dynamical systems and stochastic differential equations provide fundamental ideas and tools for the modeling, analysis, and prediction of complex phenomena. The associated research, ranging from pure to applied, is extremely broad, with many active groups in the U.S. and abroad. The summer school will treat key topics related to the theory and application of stochastic differential equations, in particular, to turbulent flow simulations: Malliavin calculus, Monte Carlo methods, multiscale models, molecular dynamics, stochastic methods for turbulent flows, porous media, weather prediction, and uncertainty quantification. The summer school will serve as a venue for developing communication and establishing collaborative research among different research groups. Moreover, it will provide an educational component for graduate students and early career researchers. The award supports participation of six invited speakers and forty other participants.Summer school web site: www.uwyo.edu/math/colloquia/summer-school.html

该奖项支持参加于2014年5月27日至6月6日在怀俄明大学举办的复杂随机系统暑期学校。理解和预测复杂随机系统行为的能力是至关重要的，例如，对天气和气候预测以及纳米级技术。暑期学校将重点关注这些领域的理论方法和应用的持续发展。其目的是为不同背景的研究人员之间的互动提供一个刺激的智力环境。学校主要面向博士研究生，年轻和有经验的研究人员和在相关领域工作的专业人士。这个暑期学校特别旨在鼓励女性学生和早期数学研究人员。这些年轻学生的兴趣和热情是组织这次暑期学校的动力因素。这所学校将在整个地区进一步推动这一发展，同时为国际合作研究培训美国初级数学家和学生。暑期学校的教材将以出版教科书的方式广泛分发。考虑随机效应对于发展受不确定性影响的复杂现象的数学模型是至关重要的。这些系统的宏观模型可以以多种方式包含随机性。随机动力系统和随机微分方程的理论为复杂现象的建模、分析和预测提供了基本的思想和工具。相关的研究，从纯粹到应用，范围非常广泛，在美国和国外有许多活跃的团体。暑期学校将处理与随机微分方程的理论和应用相关的关键主题，特别是湍流模拟：马利亚文微积分，蒙特卡罗方法，多尺度模型，分子动力学，湍流的随机方法，多孔介质，天气预报和不确定性量化。暑期学校将成为不同研究小组之间发展交流和建立合作研究的场所。此外，它将为研究生和早期职业研究人员提供教育组成部分。该奖项支持6名受邀演讲者和40名其他参与者的参与。暑期学校网站：www.uwyo.edu/math/colloquia/summer-school.html