Random Discrete Structures: Approximations and Applications

许多现实世界系统的行为可以用随时间演变的随机离散结构来建模。例如，在一些封闭的森林斑块中，青蛙种群的大小可以被建模为相互作用的随机过程。该项目的目的是研究在生物学、复杂网络和保险等领域的实际应用中出现的大型离散随机结构。拟议的项目是数学和“大数据”应用的接口，因此项目的工作旨在为实践者的算法和技术提供有用的理论和启发式基础。了解项目中的应用需要新的、广泛适用的方法，开发这样的方法是一个互补的目标。

The behaviour of many real world systems can be modelled by random discrete structures evolving over time. For example, the sizes of populations of frogs in some close patches of forests can be modelled as interacting random processes. The aim of the project is to investigate large discrete random structures that arise from real world application in areas such as biology, complex networks and insurance. The proposed project is at the interface of mathematics and 'big data' applications and so the work of the project aims to provide theoretical and heuristic underpinnings useful in the algorithms and techniques of practitioners. Understanding the applications in the project requires new, broadly applicable methods and developing such is a complementary aim.