Spatial point processes constitute a fundamental statistical framework for modelling the spatial distribution of events across a continuum. This field bridges theoretical developments in probability ...

Hawkes processes represent a class of self-exciting point processes wherein each event increases the likelihood of subsequent events occurring over a short period. Initially developed by Alan Hawkes ...

This is a preview. Log in through your library . Abstract Consider a homogeneous Poisson point process of the Euclidean plane and its Voronoi tessellation. The present note discusses the properties of ...

We establish a central limit theorem and a large deviations principle for affine point processes, which are stochastic models of correlated event timing widely used in finance and economics. These ...