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

该奖项支持参加复杂随机系统暑期学校，将于2014年5月27日至6月6日在怀俄明州大学举行。理解和预测复杂随机系统行为的能力至关重要，例如，天气和气候预测以及纳米技术。暑期学校将侧重于理论方法和应用在这些领域的持续发展。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。学校主要面向博士生，年轻和经验丰富的研究人员和相关领域的专业人士。这个暑期学校特别旨在鼓励女学生和数学方面的早期职业研究人员。这些年轻学生的兴趣和热情是组织这次暑期学校的动力。这所学校将进一步推动整个地区的这一发展，同时培训美国初级数学家和学生进行国际合作研究。暑期学校的教材将通过出版教科书广泛分发。考虑随机效应对于建立受不确定性影响的复杂现象的数学模型具有重要意义。这些系统的宏观模型可以以几种方式包括随机性。随机动力系统和随机微分方程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，从理论到应用，是非常广泛的，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：Malliavin微积分，蒙特卡罗方法，多尺度模型，分子动力学，湍流随机方法，多孔介质，天气预测和不确定性量化。暑期学校将作为一个发展交流和建立不同研究小组之间的合作研究的场所。此外，它将为研究生和早期职业研究人员提供教育部分。 该奖项支持六名受邀演讲者和四十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