| Автор | Norio Konno |
| Автор | Kazunori Sato |
| Автор | Aidan Sudbury |
| Дата выпуска | 2000-01-21 |
| dc.description | We consider the following one-dimensional discrete-time cancellative model whose evolution is given by <sub>n +1</sub> (x ) = <sub>n</sub> (x +1)+ <sub>n</sub> (x -1) (mod 2) with probability p and <sub>n +1</sub> = 0 with probability 1-p . Concerning critical probabilities p<sub>c</sub> and p<sub>c</sub> * on a survival probability, it is known that 0.706 p<sub>c</sub> p<sub>c</sub> *<1 under a condition. In this paper, we give improved lower bounds of 0.771 and 0.781 on p<sub>c</sub> and p<sub>c</sub> *, respectively, by finding suitable supermartingales for the model. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Lower bounds for critical values of a cancellative model |
| Тип | paper |
| DOI | 10.1088/0305-4470/33/2/308 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 33 |
| Первая страница | 319 |
| Последняя страница | 326 |
| Выпуск | 2 |
