TY - JOUR ID - eprints1086 N2 - We introduce an exact probabilistic description for L=2 of the Barabási model for the dynamics of a list of L tasks. This permits us to study the problem out of the stationary state and to solve explicitly the extremal limit case where a critical behavior for the waiting time distribution is observed. This behavior deviates at any finite time from that of the stationary state. We study also the characteristic relaxation time for finite time deviations from stationarity in all cases showing that it diverges in the extremal limit, confirming that these deviations are important at all time. TI - Invasion percolation and critical transient in the Barabási Model of human dynamics AV - public N1 - © 2007 American Physical Society SN - 0031-9007 IS - 20 KW - PACS: 89.75.Da KW - 02.50.Le KW - 64.60.Ak KW - 89.65.Ef Y1 - 2007/05// UR - http://dx.doi.org/10.1103/PhysRevLett.98.208701 A1 - Gabrielli, Andrea A1 - Caldarelli, Guido JF - Physical Review Letters PB - American Physical Society VL - 98 ER -