We study conductance fluctuations of the edge-state sheath that forms in th
e integer quantum Hall effect from the coupled edge states of a GaAs/AlxGa1
-xAs multilayer. Comparison of the measured variance in the vertical conduc
tance to recent theoretical predictions for mesoscopic fluctuations suggest
s dephasing lengths of 1-10 mu m around the sheath perimeter at low tempera
tures. However, inconsistencies in the estimated inelastic lengths indicate
that present understanding of dephasing on the sheath is incomplete. (C) 1
999 Academic Press.