We report on new realizations of transport properties in the charge density
wave (CDW) sliding state of NbSe3 in multiply connected structures. First,
we show that the presence of columnar defects induce oscillations in the n
on-linear CDW conductivity as a function of magnetic field with flux period
hc/2e. We consider this result as the collective response of the moving CD
W to Aharonov-Bohm flux inside the columnar defects. Second, we demonstrate
size effects on CDW transport in a periodic network of mesoscopic units be
tween submicron holes (antidots). Finally, an increase of both Peierls tran
sition temperatures occurs when the NbSe3 whiskers are thinned in the range
around 40 nm. These results open a new line for CDW studies at the mesosco
pic scale.