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Mixing properties for STIT tessellations
| Content Provider | Scilit |
|---|---|
| Author | Lachièze-Rey, R. |
| Copyright Year | 2011 |
| Description | The so-called STIT tessellations form a class of homogeneous (spatially stationary) tessellations $inR^{d}$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= $∅,T_{h}$B∩M= ∅) / P(A∩Y= ∅)P(B∩Y= ∅) − 1, whereAandBare both compact connected sets,his a vector ofR^{d}$,T_{h}$is the corresponding translation operator, andMis a STIT tessellation. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/59C846AB7D77C3BE32B67CF6ACB0A3F7/S0001867800004675a.pdf/div-class-title-mixing-properties-for-stit-tessellations-div.pdf |
| Ending Page | 48 |
| Page Count | 9 |
| Starting Page | 40 |
| ISSN | 00018678 |
| e-ISSN | 14756064 |
| DOI | 10.1017/s0001867800004675 |
| Journal | Advances in Applied Probability |
| Issue Number | 01 |
| Volume Number | 43 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2011-03-01 |
| Access Restriction | Open |
| Subject Keyword | Advances in Applied Probability Applied Mathematics Stochastic Geometry Random Tessellation Stit Tessellation Space Ergodicity Mixing Property |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistics and Probability |
