Random Media and Large Deviations

该奖项支持将于2022年10月21日至24日在纽约市纽约大学Courant研究所举行的“随机媒体和大偏差”会议。这次会议有26位已经确认的发言人，他们来自概率、分析和数学物理交叉的这些非常活跃和基础的领域。本次会议将讨论的许多复杂系统旨在描述现实世界的现象。数学模型的验证结果将提供适用于实际系统的预测。除了物理应用，复杂系统在计算机科学、机器学习、数据科学、生物信息学、化学甚至生态学和地球科学等领域也有很多应用。这次聚会将导致这些领域之间的交叉受精，并激励和告知新一代的研究人员。预计将有许多研究生、刚获得博士学位的学生和其他早期职业研究人员参加本次会议。这次会议的主要焦点是对随机介质中随机运动的严格研究。目标是解释随机微观系统如何表现出可预测的和统计上普遍的集体宏观行为。大偏差是理解这类问题的关键，尤其是在高维情况下。在解释复杂的能量景观如何控制随机运动的预定行为方面，仍有许多悬而未决的问题。会议将介绍这一领域的不同方法，包括自旋玻璃、随机偏微分方程和随机矩阵理论。本次会议的网站是：https://cims.nyu.edu/conferences/zeutoni/This该奖项反映了美国国家科学基金会的法定使命，并通过基金会的知识价值和更广泛的影响审查标准进行评估，认为值得支持。

This award supports the conference "Random media and large deviations" that will be held October 21-24, 2022, at the Courant Institute of the New York University in New York City. The conference has 26 confirmed speakers in these very active and fundamental areas at the intersection of probability, analysis, and mathematical physics. Many of the complex systems which will be discussed in this conference aim to describe real world phenomena. Results proven for the mathematical models will provide predictions applicable to the real systems. Besides physical applications, complex systems have found many applications in computer science, machine learning, data science, bioinformatics, chemistry and even in areas like ecology and earth science. This gathering will lead to cross-fertilization between these areas as well as inspire and inform a new generation of researchers. It is expected that many graduate students, recent PhDs, and other early career researchers will participate in this conference.The main focus of this conference is the rigorous study of random motion in random media. The goal is to explain how random microscopic systems display predictable and statistically universal collective macroscopic behavior. Large deviations are key to understanding such problems, especially in high dimensions. Many open problems remain in explaining how complicated energy landscapes govern the prestationary behavior of random motion. Different approaches in this area will be represented at the conference, including spin-glasses, stochastic partial differential equations, and random matrix theory. The website for this conference is: https://cims.nyu.edu/conferences/zeutoni/This 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.