The avalanche dynamics in the Bak-Sneppen mechanism of self-organized criti
cality (SOC) is discussed. Rigorous arguments reveal the emergent history d
ependence that dominates the intermittent activity. In numerical studies th
e emergent SOC state shows glassy features, such as aging and an ultrametri
c organization of activity. (C) 1999 Elsevier Science B.V. All rights reser
ved.