Large deviations for one-dimensional SDE with discontinuous diffusion coefficient

Alexei M. Kulik, Daryna D. Soboleva
Theory of Stochastic Processes
Vol.18 (34), no.1, 2012, pp.101-110
Large deviation principle is established for a family of solutions to one-dimensional SDE's under the condition that the set of discontinuity points of the diffusion coefficient has zero Lebesgue measure.