De Los Rios, P.2010-03-222010-03-222010-03-22200110.1209/epl/i2001-00604-2https://infoscience.epfl.ch/handle/20.500.14299/48379The 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.Branching-ProcessesField-TheoryEvolutiontext::journal::journal article::research article