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

随机媒体传输和定位研讨会：理论与应用

• 批准号: 1804339
• 负责人: Ivan Corwin
• 金额: $ 3万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-04-01 至 2019-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1804339&HistoricalAwards=false
• 关键词: Workshop; Transport; Localization; Random; Media

"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.

2018年5月1日至5月3日，在纽约市的哥伦比亚大学举办“随机介质中的传输和本地化研讨会：理论与应用”。随机环境对于许多物理系统是普遍存在的：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其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态方面。在凝聚态物理学中，随机散射体之间缺乏同步可以消除波的所有传播--这种现象被称为安德森局域化。另一方面，无序气体表现出高扩散率特性，在成像中具有应用。数学理解对大气科学、城市环境中的无线通信、生理成像和纳米结构中的电子传输等技术应用产生影响。本次研讨会将介绍在概率论，数学物理和偏微分方程的界面上，波在随机介质中的传播，散射和扩散的最新发展。由顶尖数学家主讲的简明讲座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= 843该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。