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

该奖项支持参加将于2014年5月27日至6月6日在怀俄明大学举办的关于复杂随机系统的暑期班。理解和预测复杂随机系统的行为是至关重要的，例如，对于天气和气候预测以及纳米技术。暑期班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激动人心的智力环境。该学院主要面向博士生、年轻而有经验的研究人员和在相关领域工作的专业人员。这个暑期班特别旨在鼓励女学生和早期职业研究人员学习数学。这些年轻学生的兴趣和热情是组织这次暑期班的激励因素。该学院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。暑期学校的教材将通过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至关重要。这些系统的宏观模型可以通过几种方式包含随机性。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，从纯粹的到应用的，非常广泛，在美国和国外有许多活跃的小组。暑期班将讨论与随机微分方程的理论和应用有关的关键主题，特别是湍流模拟：Malliavin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。暑期班将作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，它还将为研究生和早期职业研究人员提供教育内容。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

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