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Stit Tessellations have Trivial Tail σ-Algebra

  • Servet Martínez (a1) and Werner Nagel (a2)

Abstract

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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Copyright

Corresponding author

Postal address: Departamento Ingeniería Matemática and Centro Modelamiento Matemático, Universidad de Chile, UMI 2807 CNRS, Casilla 170-3, Correo 3, Santiago, Chile. Email address: smartine@dim.uchile.cl
∗∗ Postal address: Institut für Stochastik, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 2, D-07743 Jena, Germany. Email address: werner.nagel@uni-jena.de

References

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Stit Tessellations have Trivial Tail σ-Algebra

  • Servet Martínez (a1) and Werner Nagel (a2)

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