Power-law size distribution of supercritical random trees
| dc.creator | Rios, Paolo De Los | |
| dc.date | 2001-09-25 | |
| dc.date.accessioned | 2026-07-07T02:42:49Z | |
| dc.date.available | 2026-07-07T02:42:49Z | |
| dc.description | The probability distribution P(k) of the sizes k of critical trees (branching ratio m=1) is well known to show a power-law behavior k^(-3/2). Such behavior corresponds to the mean-field approximation for many critical and self-organized critical phenomena. Here we show numerically and analytically that also supercritical trees (branching ration m>1) are "critical" in that their size distribution obeys a power-law k^(-2). We mention some possible applications of these results. | |
| dc.description | To appear on Europhys. Lett | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0109456 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0109456 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/18295 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Power-law size distribution of supercritical random trees | |
| dc.type | text |