Random Discrete Structures: Approximations and Applications

许多真实的世界系统的行为可以通过随时间演化的随机离散结构来建模。例如，在森林的某些密集斑块中，青蛙种群的大小可以模拟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真实的应用中产生的大型离散随机结构。拟议的项目是在数学和“大数据”应用程序的接口，因此该项目的工作旨在提供理论和启发式的基础，在从业人员的算法和技术有用。了解项目中的应用需要新的、广泛适用的方法，开发这种方法是一个补充目标。

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.