Mixing properties for STIT tessellations

The so-called STIT tessellations form a class of homogeneous (spatially stationary) tessellations in R d 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 = ∅, T h B ∩ M = ∅) / P(A ∩ Y = ∅...

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Veröffentlicht in:	Advances in applied probability 2011-03, Vol.43 (1), p.40-48
1. Verfasser:	Lachièze-Rey, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	05B45 37A25 60D05 Daughter cells Decay rate Ergodic theory Euclidean space Geometry Hyperplanes Iterative methods Mathematical analysis Mathematical notation Mathematical vectors mixing property Mosaic Nesting Operators Probability random tessellation space ergodicity STIT tessellation Stochastic geometry Stochastic Geometry and Statistical Applications Studies Tessellation Tessellations Topological compactness Topological theorems Translations Vectors (mathematics)
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