Budhiraja, Amarjit et al., Moderate deviation principles for stochastic differential equations with jumps, Annals of probability , 44(3), 2016, pp. 1723-1775
Moderate deviation principles for stochastic differential equations driven by a Poisson random measure (PRM) in finite and infinite dimensions are obtained. Proofs are based on a variational representation for expected values of positive functionals of a PRM.