Emphasis Year in Probability Theory

概率论重点年

• 批准号: 1542289
• 负责人: Antonio Auffinger
• 金额: $ 4万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-12-01 至 2016-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1542289&HistoricalAwards=false
• 关键词: Emphasis; Year; Probability; Theory

This award supports participation in a one-day workshop, a three-day conference, and a two-week summer school held at Northwestern University during the period January through August, 2016. The meetings center on the topic of probability theory and have the goals of training junior mathematicians in the field and stimulating new research. Probability theory is a major branch of modern mathematics. It aims at a rigorous mathematical investigation of collective behavior of random phenomena and is one of the most applicable branches of science. The one-day workshop, to be held in February 2016, will feature four talks on the topic of nodal sets of random functions. The three day conference, to be held in May 2016, will feature twelve talks by experts on the topics of percolation, spin glasses, and random media, three central topics in probability. The Summer School in Probability, to be held in July 2016, will include five introductory mini-courses on various topics within geometric analysis, aimed at graduate students and recent PhD recipients. Award funds will be used primarily for the travel costs of attendees who are graduate students or postdoctoral scholars at US institutions. The organizing committee will seek broad and diverse participation in these activities, and will especially encourage the participation of women mathematicians and members of other under-represented groups. More information on these events, which are part of an Emphasis Year in Probability at Northwestern, can be found on the website: http://www.math.northwestern.edu/~auffing/emphasis.html In the last decades, probability theory has emerged as a central and core branch of mathematics. Part of its importance relies on the connection with several branches of science, including: mathematical physics, chemistry, statistics, economics, and other areas of mathematics. The programmed activities share and promote these connections. Percolation originated from the study of fluid flow on a porous media, spin glasses are disordered magnets that exhibit metastability and large complexity, while random media is a common background to study polymer models. The research on nodal sets of random functions goes back to the work of M. Kac on zeroes of random polynomials and share deep connections with semi-classical analysis and topology. These activities and topics present an excellent opportunity to bring graduate students and postdoctoral scholars to the forefront of research in probability theory.

该奖项支持参加 2016 年 1 月至 8 月期间在西北大学举办的为期一天的研讨会、为期三天的会议和为期两周的暑期学校。这些会议以概率论为主题，并有以下目标培训该领域的初级数学家并激发新的研究。概率论是现代数学的一个主要分支。它旨在对随机现象的集体行为进行严格的数学研究，是最适用的科学分支之一。为期一天的研讨会将于 2016 年 2 月举行，将有四场关于随机函数节点集主题的演讲。为期三天的会议将于 2016 年 5 月举行，专家将就渗滤、自旋玻璃和随机介质（概率的三个核心主题）进行 12 场演讲。 概率暑期学校将于 2016 年 7 月举办，将包括五门介绍性迷你课程，内容涉及几何分析中的各个主题，面向研究生和最近的博士学位获得者。奖励资金将主要用于美国机构研究生或博士后学者参加者的旅费。组委会将寻求广泛和多样化的参与这些活动，并将特别鼓励女数学家和其他代表性不足群体成员的参与。有关这些事件的更多信息，这是西北大学概率重点年的一部分，可以在网站上找到：http://www.math.northwestern.edu/~auffing/emphasis.html 在过去的几十年里，概率论已成为数学的中心和核心分支。它的重要性部分取决于与多个科学分支的联系，包括：数学物理、化学、统计学、经济学和其他数学领域。计划好的活动分享并促进这些联系。渗滤起源于多孔介质上流体流动的研究，自旋玻璃是无序磁体，表现出亚稳定性和高复杂性，而随机介质是研究聚合物模型的常见背景。对随机函数节点集的研究可以追溯到 M. Kac 对随机多项式零点的研究，并与半经典分析和拓扑有着深刻的联系。这些活动和主题为将研究生和博士后学者带到概率论研究的前沿提供了绝佳的机会。