Noncommutative Distributions in Free Probability at the Fields Institute; July 1-31, 2013 at the Field Institute in Toronto, Canada

菲尔兹研究所自由概率中的非交换分布；

• 批准号: 1302713
• 负责人: Dan-Virgil Voiculescu
• 金额: $ 3万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-06-15 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1302713&HistoricalAwards=false
• 关键词: Noncommutative; Distributions; Free; Probability; Fields

This award provides funding to help defray the expenses of U.S participants in the program "Noncommutative Distributions in Free Probability at the Fields Institute" that will be held from July 1-31, 2013, at the aforementioned institute in Toronto, Canada.The theme of this wide-ranging program is free probability and its ramifications. Free probability theory is a probability theory adapted to deal with variables having the highest degree of noncommutativity. It is based on replacing independence modeled on tensor products by independence modeled on free products. The theory has important connections with von Neumann algebras, random matrices, combinatorics, and certain problems in mathematical physics. Surprisingly, the part of basic classical probability theory for which there are free probability analogues is unexpectedly large and keeps growing. The program provides ample opportunity for graduate students, postdocs, and other young scientists to present their work.

该奖项提供资金，帮助支付将于2013年7月1日至31日在加拿大多伦多前述研究所举行的“自由概率中的非对易分布”项目的美国参与者的费用。这一范围广泛的项目的主题是自由概率及其分支。自由概率论是一种适用于处理具有最高非对易程度的变量的概率理论。它的基础是将基于张量积的独立性替换为基于自由积的独立性。这一理论与冯·诺依曼代数、随机矩阵、组合学以及数学物理中的某些问题有着重要的联系。令人惊讶的是，基本经典概率论中有自由概率类似物的部分出人意料地大，而且还在不断增长。该项目为研究生、博士后和其他年轻科学家提供了大量展示他们工作的机会。