Workshop on scaling limits: from statistical mechanics to manifolds

缩放极限研讨会：从统计力学到流形

• 批准号: EP/T031050/1
• 负责人: Perla Sousi
• 金额: $ 2.47万
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FT031050%2F1
• 关键词: Workshop; scaling; limits; statistical; mechanics

This is an application for partial funding for a 3-day workshop in probability entitled ''Scaling limits: from statistical mechanics to manifolds'', to take place in Cambridge 7th-9th September 2020. The workshop is loosely timed to coincide with the 60th birthday of James Norris, who is professor of stochastic analysis at the University of Cambridge and one of the UK's most senior probabilists. The goal of the workshop is not to simply look back at his career, but instead take his work as a jumping-off point for an exploration of future research directions in probability. The meeting will benefit UK mathematics and reinforce the UK's position as a leading centre for probability research by providing an opportunity to learn about the latest developments and identify future directions. There is a particular emphasis on the representation of female academics -- 3 out of 4 organisers are female and 5 out of 16 speakers are female. The meeting will be centred around five themes that all display beautifully the interplay between probability and analysis. We have invited experts working on 1) random growth processes and SPDEs, 2) Yang-Mills measure, 3) limits of random graphs, random planar maps and fragmentation processes, 4) Markov chains, interacting particle systems and fluid limits and 5) diffusion processes and heat kernels. Many of these areas have arisen out of a need for sophisticated models involving random mathematical structures which go well beyond the classical topics of real-valued random variables and processes. This workshop will play a role in keeping the UK at the forefront of new developments.

这是一个为期3天的研讨会的部分资金申请，题为“缩放限制：从统计力学到流形”，将于2020年9月7日至9日在剑桥举行。这个研讨会的时间安排不太严格，正好是剑桥大学随机分析教授、英国最资深的概率学家之一詹姆斯·诺里斯的60岁生日。研讨会的目的不是简单地回顾他的职业生涯，而是把他的工作作为探索未来概率研究方向的起点。这次会议将有利于英国数学和加强英国的地位，作为一个领先的中心概率研究提供了一个机会，了解最新的发展和确定未来的方向。特别强调女学者的代表性-4名组织者中有3名是女性，16名发言者中有5名是女性。会议将围绕五个主题，所有这些主题都完美地展示了概率和分析之间的相互作用。我们邀请了以下领域的专家：1）随机增长过程和SPDE，2）Yang-Mills测度，3）随机图的极限，随机平面映射和碎裂过程，4）马尔可夫链，相互作用粒子系统和流体极限，5）扩散过程和热核。许多这些领域已经出现了一个需要复杂的模型，涉及随机的数学结构，远远超出了经典主题的实值随机变量和过程。这次研讨会将发挥作用，使英国保持在新的发展的前沿。