Abstract
The so-called STIT tessellations form a class of homogeneous (spatially stationary) tessellations inRdwhich 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, whereAandBare both compact connected sets,his a vector ofRd,This the corresponding translation operator, andMis a STIT tessellation.
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