Strong mixing property for STIT tessellations

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dc.creatorLachièze-Rey, Raphaël
dc.date2009-05-08
dc.date2009-05-17
dc.date.accessioned2026-07-07T13:15:17Z
dc.date.available2026-07-07T13:15:17Z
dc.descriptionThe so-called STIT tessellations form the class of homogeneous (spatially stationary) tessellations of $\mathbb{R}^d$ which are stable under the nesting/iteration operation. In this paper, we establish the strong mixing property for these tessellations and give the optimal form of the rate of decay for the quantity $|\mathbb{P}({A}\cap Y=\emptyset,T_h B \cap Y=\emptyset)-\mathbb{P}({A}\cap Y=\emptyset)\mathbb{P}({B}\cap Y=\emptyset)|$ when $A$ and $B$ are two compact sets, $h$ a vector of $\mathbb{R}^d$, $T_{h}$ the corresponding translation operator and $Y$ a STIT Tessellation.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0905.1145
dc.identifierhttp://arxiv.org/abs/0905.1145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230427
dc.subjectProbability
dc.subjectDynamical Systems
dc.subject60D05
dc.titleStrong mixing property for STIT tessellations
dc.typetext

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