| Автор | Michael J Kearney |
| Автор | Vincent M Dwyer |
| Автор | Paul C Bressloff |
| Дата выпуска | 1997-06-21 |
| dc.description | We consider a class of random geometric series with an underlying tree-like structure that has a number of applications in statistical physics. Convergence criteria for these series are discussed and consistency with different criteria known to hold in the one-dimensional limit is established. A multiplicative, two-component model of percolation on a Cayley tree is defined and analysed. The order of the percolation transition and certain critical exponents are altered compared to conventional bond percolation. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On the convergence of a class of random geometric series with application to random walks and percolation theory |
| Тип | lett |
| DOI | 10.1088/0305-4470/30/12/003 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | L409 |
| Последняя страница | L414 |
| Выпуск | 12 |
