Random discrete structures: approximations and applications (ARC Discovery Project administered by The University of Melbourne) (2015–2018)
Abstract:
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 project is at
the interface of mathematics and ¿big data¿ applications and so the work of the project provides 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.