Large deviation principle for one-dimensional SDEs with discontinuous   coefficients
  We establish the large deviation principle for solutions of one-dimensional SDEs with discontinuous coefficients. The main statement is formulated in a form similar to the classical Wentzel--Freidlin theorem, but under the considerably weaker assumption that the coefficients have no discontinuities of the second kind. 
Alexei Kulik, Daryna Sobolieva
math.PR