Workshop: random structures and dynamics

了解随机介质的结构，以及与之相关的过程的动力学，对于概率论的许多最基本的应用至关重要。例如，从物理学中含有微观杂质的物质的建模，到工程学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，这些问题多年来一直是数学挑战的刺激来源，在过去十年中出现了许多快速和重大的发展。有一个迫切需要在英国的probabilists暴露在这个非常活跃的研究领域的新兴理论的明确介绍。我们提出了一个研讨会围绕短期讲座课程由三位专家在随机结构及其动力学领域提供，沿着一系列较短的个人会谈由一系列经验丰富的和即将到来的研究人员。研讨会将提供宝贵的机会，英国的研究人员与专家参观研讨会合作。它还将为来自不同专业领域的具有不同观点的研究人员提供一个交流思想和技术的机制。我们预计这将导致（一）进一步英国参与发展理论（B）调查新的应用，以及（三）新的合作，无论是在英国概率界和英国研究人员和那些在国外工作。

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.