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The iteration of random tessellations and a construction of a homogeneous process of cell divisions
| Content Provider | Scilit |
|---|---|
| Author | Mecke, Joseph Nagel, Werner Weiss, Viola |
| Copyright Year | 2008 |
| Description | A random tessellation of ℝ d is said to be homogeneous if its distribution is invariant under all shifts of ℝ d . The iteration of homogeneous random tessellations is described in a new manner that makes it evident that the resulting random tessellation is homogeneous again. Furthermore, a tessellation-valued process is constructed, the random states of which are homogeneous random tessellations stable under iteration (STIT). It can be interpreted as a process of subsequent division of cells. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F94BD1A9AF073117A3FA8B3E5351D955/S0001867800002378a.pdf/div-class-title-the-iteration-of-random-tessellations-and-a-construction-of-a-homogeneous-process-of-cell-divisions-div.pdf |
| Ending Page | 59 |
| Page Count | 11 |
| Starting Page | 49 |
| ISSN | 00018678 |
| e-ISSN | 14756064 |
| DOI | 10.1017/s0001867800002378 |
| Journal | Advances in Applied Probability |
| Issue Number | 01 |
| Volume Number | 40 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2008-03-01 |
| Access Restriction | Open |
| Subject Keyword | Advances in Applied Probability Interdisciplinary Mathematics Stochastic Geometry Random Tessellation valued Stochastic Process Poisson Point Process Iteration of Tessellations Nesting of Tessellations Stability of Distributions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistics and Probability |
