Advances in Applied Probability
- Adv. in Appl. Probab.
- Volume 43, Number 1 (2011), 40-48.
Mixing properties for STIT tessellations
The so-called STIT tessellations form a class of homogeneous (spatially stationary) tessellations in Rd 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 = ∅, ThB ∩ M = ∅) / P(A ∩ Y = ∅)P(B ∩ Y = ∅) - 1, where A and B are both compact connected sets, h is a vector of Rd, Th is the corresponding translation operator, and M is a STIT tessellation.
Adv. in Appl. Probab. Volume 43, Number 1 (2011), 40-48.
First available in Project Euclid: 15 March 2011
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60D05: Geometric probability and stochastic geometry [See also 52A22, 53C65]
Secondary: 05B45: Tessellation and tiling problems [See also 52C20, 52C22] 37A25: Ergodicity, mixing, rates of mixing
Lachièze-Rey, R. Mixing properties for STIT tessellations. Adv. in Appl. Probab. 43 (2011), no. 1, 40--48. doi:10.1239/aap/1300198511. https://projecteuclid.org/euclid.aap/1300198511.