Abstract
The so-called STIT tessellations form a class of homogeneous (spatially stationary) tessellations in Rd which are stable under the nesting/iteration operation. In this paper we establish the mixing property for these tessellations and give the decay rate of P(A ∩ M = ∅, ThB ∩ M = ∅) / P(A ∩ Y = ∅)P(B ∩ Y = ∅) - 1, where A and B are both compact connected sets, h is a vector of Rd, Th is the corresponding translation operator, and M is a STIT tessellation.
Citation
R. Lachièze-Rey. "Mixing properties for STIT tessellations." Adv. in Appl. Probab. 43 (1) 40 - 48, March 2011. https://doi.org/10.1239/aap/1300198511
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