Absolute regularity and Brillinger-mixing of stationary point processes

Abstract

The relation between Brillinger-mixing of stationary point processes and absolute regularity coefficients is studied. For illustration some Brillinger-mixing point processes occuring in stochastic geometry are considered.

Keywords

• Palm distribution
• (reduced) factorial cumulant measure
• Brillinger-mixing
• higher-order covariance measure
• beta-mixing coefficient
• germ-grain model
• dependently thinned point process