relation: http://eprints.imtlucca.it/1151/ title: Perturbative approach to the Bak-Sneppen model creator: Felici, Maddalena creator: Caldarelli, Guido creator: Gabrielli, Andrea creator: Pietronero, Luciano subject: QC Physics description: 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 τ, and the asymptotic distribution of minimal fitnesses. publisher: American Physical Society date: 2001-02 type: Article type: PeerReviewed format: application/pdf language: en identifier: http://eprints.imtlucca.it/1151/1/PhysRevLett.Caldarelli_01.pdf identifier: Felici, Maddalena and Caldarelli, Guido and Gabrielli, Andrea and Pietronero, Luciano Perturbative approach to the Bak-Sneppen model. Physical Review Letters, 86 (9). pp. 1896-1899. ISSN 0031-9007 (2001) relation: http://dx.doi.org/10.1103/PhysRevLett.86.1896 relation: 10.1103/PhysRevLett.86.1896