Random Discrete Structures: Approximations and Applications

随机离散结构：近似和应用

• 批准号: DP150101459
• 负责人: Prof Aihua Xia
• 金额: $ 40.82万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2015
• 资助国家: 澳大利亚
• 起止时间: 2015-01-01 至 2021-09-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP150101459
• 关键词: Random; Discrete; Structures; Approximations; Applications

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.

许多现实世界系统的行为可以由随时间演变的随机离散结构来建模。例如，在森林的一些密地中，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、复杂网络和保险等领域的现实世界应用中产生的大型离散随机结构。该项目是数学和“大数据”应用的交汇点，因此该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。理解项目中的应用需要新的、广泛适用的方法，而开发这种方法是一个补充目标。