On the strong Brillinger-mixing property of -determinantal point processes and some applications
Lothar Heinrich (2016)
Applications of Mathematics
Similarity:
First, we derive a representation formula for all cumulant density functions in terms of the non-negative definite kernel function defining an -determinantal point process (DPP). Assuming absolute integrability of the function , we show that a stationary -DPP with kernel function is “strongly” Brillinger-mixing, implying, among others, that its tail--field is trivial. Second, we use this mixing property to prove rates of normal convergence for shot-noise processes and sketch...