We argue that Poisson statistics in logarithmic time provides an idealized
description of non-equilibrium configurational rearrangements in aging glassy
systems. The description puts stringent requirements on the geometry of the
metastable attractors visited at age twβ. Analytical implications for the
residence time distributions as a function of twβ and the correlation
functions are derived. These are verified by extensive numerical studies of
short range Ising spin glasses.Comment: v3 (final): 8 pages, 4 figures. Minor change