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Stit Tessellations have Trivial Tail σ-Algebra

Published online by Cambridge University Press:  22 February 2016

Servet Martínez*
Affiliation:
Universidad de Chile
Werner Nagel*
Affiliation:
Friedrich-Schiller-Universität Jena
*
Postal address: Departamento Ingeniería Matemática and Centro Modelamiento Matemático, Universidad de Chile, UMI 2807 CNRS, Casilla 170-3, Correo 3, Santiago, Chile. Email address: [email protected]
∗∗ Postal address: Institut für Stochastik, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 2, D-07743 Jena, Germany. Email address: [email protected]
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Abstract

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We consider homogeneous STIT tessellations Y in the ℓ-dimensional Euclidean space ℝ and show the triviality of the tail σ-algebra. This is a sharpening of the mixing result by Lachièze-Rey (2001).

Type
Stochastic Geometry and Statistical Applications
Copyright
© Applied Probability Trust 

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