The rate at which dissipative fluctuations occur in narrow superconduc
ting rings is considered within the Little-Langer-Ambegaokar-McCumber-
Halperin framework. The mesoscopic regime, in which the ring circumfer
ence L does not greatly exceed the correlation length xi, is specifica
lly addressed. In this regime, significant differences arise between m
odels that mimic voltage and current sources, the former (latter) exhi
biting corrections to the fluctuation rate algebraic in xi/L (exponent
ially small in L/xi). The theory employs Forman's elaboration of the G
el'fand-Yaglom technique for computing fluctuation determinants.