Advances in Applied Probability

STIT tessellations have trivial tail σ-algebra

Servet Martínez and Werner Nagel

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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).

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Adv. in Appl. Probab., Volume 46, Number 3 (2014), 643-660.

First available in Project Euclid: 29 August 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60D05: Geometric probability and stochastic geometry [See also 52A22, 53C65]
Secondary: 60J25: Continuous-time Markov processes on general state spaces 60J75: Jump processes 37A25: Ergodicity, mixing, rates of mixing

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


Martínez, Servet; Nagel, Werner. STIT tessellations have trivial tail σ-algebra. Adv. in Appl. Probab. 46 (2014), no. 3, 643--660. doi:10.1239/aap/1409319553.

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