Conceptual Proofs of L log L Criteria
| dc.creator | Lyons, Russell | |
| dc.creator | Pemantle, Robin | |
| dc.creator | Peres, Yuval | |
| dc.date | 2004-04-05 | |
| dc.date.accessioned | 2026-07-07T05:07:07Z | |
| dc.date.available | 2026-07-07T05:07:07Z | |
| dc.description | The Kesten-Stigum Theorem is a fundamental criterion for the rate of growth of a supercritical branching process, showing that an L log L condition is decisive. In critical and subcritical cases, results of Kolmogorov and later authors give the rate of decay of the probability that the process survives at least n generations. We give conceptual proofs of these theorems based on comparisons of Galton-Watson measure to another measure on the space of trees. This approach also explains Yaglom's exponential limit law for conditioned critical branching processes via a simple characterization of the exponential distribution. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404083 | |
| dc.identifier | http://arxiv.org/abs/math/0404083 | |
| dc.identifier | Ann. Probab., 23, 1125 - 1138 (1995) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70732 | |
| dc.subject | Probability | |
| dc.subject | 60J80 (Primary) | |
| dc.title | Conceptual Proofs of L log L Criteria | |
| dc.type | text |