Percolation on random Johnson-Mehl tessellations and related models
We make use of the recent proof that the critical probability for percolation on random Voronoi tessellations is 1/2 to prove the corresponding result for random Johnson-Mehl tessellations, as well as for two-dimensional slices of higher dimensional Voronoi tessellations. Surprisingly, the proof is...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2006
|
| _version_ | 1797105456313794560 |
|---|---|
| author | Bollobas, B Riordan, O |
| author_facet | Bollobas, B Riordan, O |
| author_sort | Bollobas, B |
| collection | OXFORD |
| description | We make use of the recent proof that the critical probability for percolation on random Voronoi tessellations is 1/2 to prove the corresponding result for random Johnson-Mehl tessellations, as well as for two-dimensional slices of higher dimensional Voronoi tessellations. Surprisingly, the proof is a little simpler for these more complicated models. |
| first_indexed | 2024-03-07T06:47:49Z |
| format | Journal article |
| id | oxford-uuid:fb760279-4cd2-44e3-91a7-4205648d9d68 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:47:49Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:fb760279-4cd2-44e3-91a7-4205648d9d682022-03-27T13:13:57ZPercolation on random Johnson-Mehl tessellations and related modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fb760279-4cd2-44e3-91a7-4205648d9d68EnglishSymplectic Elements at Oxford2006Bollobas, BRiordan, OWe make use of the recent proof that the critical probability for percolation on random Voronoi tessellations is 1/2 to prove the corresponding result for random Johnson-Mehl tessellations, as well as for two-dimensional slices of higher dimensional Voronoi tessellations. Surprisingly, the proof is a little simpler for these more complicated models. |
| spellingShingle | Bollobas, B Riordan, O Percolation on random Johnson-Mehl tessellations and related models |
| title | Percolation on random Johnson-Mehl tessellations and related models |
| title_full | Percolation on random Johnson-Mehl tessellations and related models |
| title_fullStr | Percolation on random Johnson-Mehl tessellations and related models |
| title_full_unstemmed | Percolation on random Johnson-Mehl tessellations and related models |
| title_short | Percolation on random Johnson-Mehl tessellations and related models |
| title_sort | percolation on random johnson mehl tessellations and related models |
| work_keys_str_mv | AT bollobasb percolationonrandomjohnsonmehltessellationsandrelatedmodels AT riordano percolationonrandomjohnsonmehltessellationsandrelatedmodels |