Workshop: random structures and dynamics

研讨会：随机结构和动力学

• 批准号: EP/I027297/1
• 负责人: Ben Hambly
• 金额: $ 2.44万
• 依托单位: University of Oxford
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2011
• 资助国家: 英国
• 起止时间: 2011 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FI027297%2F1
• 关键词: Workshop; random; structures; dynamics

Understanding the structure of random media, and the dynamics of processes associated with them, is crucial to many of the most fundamental applications of probability theory. Examples range from the modelling of substances with microscopic impurities in physics, to the description of the behaviour of networks with unpredictable connections between their nodes, arising in engineering and communications science.Such problems have been a stimulating source of mathematical challenges for many years, and the last decade has seen many rapid and significant developments. There is a pressing need for probabilists in the UK to be exposed to clear presentations of the emerging theory in this very active area of research. We propose a workshop centred around short lecture courses delivered by three experts in the area of random structures and their dynamics, along with a series of shorter individual talks by a range of experienced and upcoming researchers.The workshop will provide valuable opportunities for UK researchers to collaborate with experts visiting the workshop. It will also provide a mechanism for researchers with different perspectives coming from different areas of expertise to exchange ideas and techniques. We expect this to result in (a) further UK engagement in developing theory (b) investigations of new applications, and (c) new collaborations both within the UK probability community and between UK researchers and those working abroad.

理解随机介质的结构，以及与之相关的动态过程，对于概率论的许多最基本的应用是至关重要的。例如，从物理学中含有微观杂质的物质的建模，到工程和通信科学中出现的节点之间具有不可预测连接的网络行为的描述。多年来，这些问题一直是数学挑战的一个刺激来源，在过去的十年里，我们看到了许多快速而重要的发展。在这个非常活跃的研究领域，英国的概率学家迫切需要了解新兴理论的清晰介绍。我们建议举办一个研讨会，由三位随机结构及其动力学领域的专家提供简短的讲座课程，并由一系列经验丰富和即将到来的研究人员进行一系列简短的个人讲座。研讨会将为英国研究人员提供宝贵的机会，与参加研讨会的专家进行合作。它还将为来自不同专业领域的不同观点的研究人员提供一个交流思想和技术的机制。我们期望这将导致(a)英国进一步参与发展理论(b)新应用的调查，以及(c)英国概率界内部以及英国研究人员与国外工作人员之间的新合作。