Workshop on Transport and Localization in Random Media: Theory and Applications

《随机媒体中的运输与本地化研讨会：理论与应用》将于2018年5月1日至5月3日在纽约市哥伦比亚大学举行。随机环境在许多物理系统中无处不在：气体、凝聚态物质、化学反应等。这些现象的内在复杂性促使在它们的数学描述中使用噪声。一个根本的挑战是解释这种噪声如何影响系统的动力学方面。在凝聚态物理中，随机散射体之间缺乏同步性可以消除波的所有传播--这一现象被称为安德森定域化。另一方面，无序气体表现出高的扩散率特性，并在成像方面有应用。对数学的理解对大气科学中的技术应用、城市环境中的无线通信、生理成像和纳米结构中的电子运输具有影响。本研讨会将结合概率论、数学物理和偏微分方程组，介绍波在随机介质中传播、散射和扩散的最新进展。顶尖数学家的授课将促进基础和应用领域初级和高级研究人员之间的互动。研讨会网站是：http://www.ki-net.umd.edu/content/conf?event_id=843This奖反映了美国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。

"Workshop on Transport and Localization in Random Media: Theory and Applications" will be held at Columbia University in New York City from May 1st to May 3rd, 2018. Random environments are ubiquitous to many physical systems: gases, condensed matter, chemical reaction, etc. The inherent complexity of these phenomena motivates the use of noise in their mathematical description. A fundamental challenge is to interpret how this noise affects the dynamical aspects of the system. In condensed matter physics, the lack of synchrony between random scatterers can eliminate all propagation of waves-- a phenomena known as Anderson localization. On the other hand, disordered gases exhibit high diffusivity properties, with applications in imaging. A mathematical understanding has impact on technological applications in atmospheric science, wireless communications in urban environments, physiological imaging and electronic transport in nano-structures. This workshop will present recent developments on wave propagation, scattering and diffusion in random medias at the interface of probability theory, mathematical physics and partial differential equations. Accessible lectures by leading mathematicians will catalyze interactions among both junior and senior researchers in fundamental and applied fields.The workshop website is: http://www.ki-net.umd.edu/content/conf?event_id=843This 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.