The $\beta$-Mixing Rate of STIT Tessellations

Abstract

We consider homogeneous STIT tessellations $Y$ in the $\ell$-dimensional Euclidean space $R^{\ell }$ and show that the (spatial) $\beta$-mixing rate converges to zero.

This paper is submitted for publication in 'Stochastics: An International Journal Of Probability And Stochastic Processes'. arXiv admin note: text overlap with arXiv:1210.3917