STIT tessellations have trivial tail σ-algebra

Servet Martínez; Werner Nagel

doi:10.1239/aap/1409319553

Abstract

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

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Servet Martínez. Werner Nagel. "STIT tessellations have trivial tail σ-algebra." Adv. in Appl. Probab. 46 (3) 643 - 660, September 2014. https://doi.org/10.1239/aap/1409319553

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Published: September 2014

First available in Project Euclid: 29 August 2014

zbMATH: 1315.60018

MathSciNet: MR3254335

Digital Object Identifier: 10.1239/aap/1409319553

Subjects:

Primary: 60D05

Secondary: 37A25 , 60J25 , 60J75

Keywords: ergodic theory , random process of tessellations , Stochastic geometry , tail σ-algebra

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