Percolation models with strong and oscillatory correlations. Percolation theory studies how global connectivity in a complex system arises out of local properties of that system, for example how the c

Description

Percolation models with strong and oscillatory correlations. Percolation theory studies how global connectivity in a complex system arises out of local properties of that system, for example how the connectivity of an electric car charging network depends on the spread and density of the charging stations. This project aims to deepen our understanding of percolation models with strong and oscillatory correlations, and resolve longstanding questions on the existence and nature of their phase transitions. The techniques developed will be applicable to a broad range of mathematical disciplines, such as Gaussian analysis, point process analysis, and spatial modelling, and insights arising from the project will benefit researchers in applied disciplines such as transport and telecommunication modelling.. Scheme: ARC Future Fellowships. Field: 4905 - Statistics. Lead: Dr Stephen Muirhead