| Автор | Lawler, Gregory F. |
| Дата выпуска | 1999 |
| dc.description | The growth exponent α for loop-erased or Laplacian random walk on the integer lattice is defined by saying that the expected time to reach the sphere of radius n is of order n<sup>α</sup> . We prove that in two dimensions, the growth exponent is strictly greater than one. The proof uses a known estimate on the third moment of the escape probability and an improvement on the discrete Beurling projection theorem. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | loop-erased walk |
| Тема | Beurling projection theorem |
| Название | A Lower Bound on the Growth Exponent for Loop-Erased Random Walk in Two Dimensions |
| Тип | research-article |
| DOI | 10.1051/ps:1999100 |
| Electronic ISSN | 1262-3318 |
| Print ISSN | 1292-8100 |
| Журнал | ESAIM: Probability and Statistics |
| Том | 3 |
| Первая страница | 1 |
| Последняя страница | 21 |
| Аффилиация | Lawler Gregory F.; Department of Mathematics, Box 90320, Duke University Durham, NC 27708-0320, USA; jose@math.duke.edu. |
