Workshop: Random Structures Arising in Physics and Analysis

这是一个为期5天的研究研讨会在概率论题为随机结构出现在物理和分析，将于2016年4月在兰开斯特大学举行的部分资金的应用。会议将有利于英国数学和加强英国的地位，作为概率研究的全球领先中心，提供一个激励论坛，了解最新的研究进展，并确定未来的研究方向。特别强调女学者的代表性。我们还将确保研究生有足够的机会与资深同事互动，并介绍自己的工作。英国概率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，我们需要不断跟上发展。最近快速增长的一个领域涉及物理和分析中出现的随机结构。令人惊讶的是，通过物理学中的应用出现的概率对象如何在描述分析现象中发挥重要作用，相反，分析框架如何被用来提供统计物理学中使用的模型的严格构造。在这次会议上，我们围绕随机矩阵和自由概率，测量浓度，随机几何和随机环境中的随机游动构建了主题。我们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个人演讲补充。此外，将有时间为研究生进行简短的会谈，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讨论新问题。

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.