Workshop: Random Structures Arising in Physics and Analysis

研讨会：物理和分析中出现的随机结构

• 批准号: EP/N018478/1
• 负责人: Amanda Turner
• 金额: $ 1.86万
• 依托单位: Lancaster University
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2015
• 资助国家: 英国
• 起止时间: 2015 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FN018478%2F1
• 关键词: Workshop; Random; Structures; Arising; Physics

This is an application for partial funding for a 5-day research workshop in probability theory entitled Random Structures Arising in Physics and Analysis, to be held at Lancaster University in April 2016. The meeting will benefit UK mathematics and reinforce the UK's position as a leading centre for probability research globally by providing a stimulating forum for learning about the latest research advances and identifying future research directions. There is particular emphasis on the representation of female academics. We will also be ensuring that there will be plenty of opportunities for research students to interact with senior colleagues and present their own work.The British probability community has leading researchers in many areas of probability theory, but there is a constant need to keep abreast of developments in this expanding field. One area of recent rapid growth concerns random structures arising in physics and analysis. It is striking how probabilistic objects that emerged through applications in physics are being shown to play a fundamental role in describing analytical phenomena, and conversely, how analytic frameworks are being used to provide rigorous constructions of models used in statistical physics. In this meeting we have structured the theme around random matrices and free probability, concentration of measure, random geometry, and random walks in random environment. We have invited leading researchers to present mini-courses in these areas, and these mini-courses will be complemented by a series of individual talks. Additionally, there will be time for shorter talks by research students, and early career researchers will be encouraged to present their work at a poster session. In order to facilitate interactions and collaborations between researchers, ample time will be set aside each day for discussions and break-out groups working on new problems.

这是一个为期5天的概率论研究研讨会的部分资金申请，该研讨会将于2016年4月在兰开斯特大学举行，题为《物理与分析中的随机结构》。这次会议将使英国数学受益，并通过提供一个令人兴奋的论坛来了解最新研究进展和确定未来研究方向，从而巩固英国作为全球领先概率研究中心的地位。特别强调女性学者的代表性。我们还将确保研究型学生有足够的机会与资深同事互动，展示他们自己的工作。英国概率学界在概率论的许多领域都有领先的研究人员，但在这个不断扩大的领域，我们经常需要跟上发展的步伐。最近快速增长的一个领域与物理和分析中出现的随机结构有关。令人惊讶的是，通过物理应用出现的概率对象被证明在描述分析现象方面发挥了基本作用，反过来，分析框架如何被用来提供统计物理中使用的模型的严格构造。在这次会议中，我们围绕随机矩阵和自由概率、测度的集中、随机几何和随机环境中的随机游动构建了主题。我们已经邀请了领先的研究人员在这些领域提供迷你课程，这些迷你课程将由一系列的个人讲座来补充。此外，将有时间由研究学生进行较短的演讲，并鼓励早期职业研究人员在海报会议上展示他们的工作。为了促进研究人员之间的互动和合作，每天将留出充足的时间进行讨论和分组研究新问题。