A study of anomalous scaling in models of passive scalar advection in terms
of singular coherent structures is proposed. The stochastic dynamical syst
em considered is a shell model reformulation of Kraichnan model. We extend
the method introduced by Daumont, Dombre, and Gilson (e-print archive chao-
dyn/9905017) to the calculation of self-similar instantons and we show how
such objects, being the most singular events, are appropriate to capture as
ymptotic scaling properties of the scalar field. Preliminary results concer
ning the statistical weight of fluctuations around these optimal configurat
ions are also presented. [S1063-651X(99)51312-3].