TY  - JOUR
SN  - 0031-9007
Y1  - 2001/02//
N2  - We study the Bak-Sneppen model in the probabilistic framework of the run time statistics (RTS). This model has attracted a large interest for its simplicity being a prototype for the whole class of models showing self-organized criticality. The dynamics is characterized by a self-organization of almost all the species fitnesses above a nontrivial threshold value, and by a lack of spatial and temporal characteristic scales. This results in avalanches of activity power law distributed. In this Letter we use the RTS approach to compute the value of xc, the value of the avalanche exponent ?, and the asymptotic distribution of minimal fitnesses.
JF  - Physical Review Letters
N1  - © 2001 American Physical Society
PB  - American Physical Society
VL  - 86
EP  - 1899
A1  - Felici, Maddalena
A1  - Caldarelli, Guido
A1  - Gabrielli, Andrea
A1  - Pietronero, Luciano
SP  - 1896
TI  - Perturbative approach to the Bak-Sneppen model
ID  - eprints1151
AV  - public
KW  - PACS: 05.65.+b
KW  -  02.50.-r
KW  -  64.60.Ak
KW  -  87.23.Kg

IS  - 9
UR  - http://dx.doi.org/10.1103/PhysRevLett.86.1896
ER  -