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arXiv · 1806.05910

A bound of the $\beta$-mixing coefficient for point processes in terms of their intensity functions

Arnaud Poinas
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Abstract

We prove a general inequality on $\beta$-mixing coefficients of point processes depending uniquely on their $n$-th order intensity functions. We apply this inequality in the case of determinantal point processes and show that the rate of decay of the $\beta$-mixing coefficients of a wide class of DPPs is optimal.

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Arnaud Poinas. 2018-06-15. A bound of the $\beta$-mixing coefficient for point processes in terms of their intensity functions. https://doi.org/10.1016/j.spl.2018.12.007

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