In this paper we show irreducibility and the strong Feller property for transition probabilities of stochastic differential equations with jumps and monotone coefficients. Thus, exponential ergodicity and the spectral gap for the corresponding transition semigroups are obtained.
Stochastic differential equations with non-lipschitz coefficients: I. Pathwise uniqueness and large deviation
A class of stochastic differential equations with super-linear growth and non-Lipschitz coefficients
The stability and path-independence of additive functionals for multivalued McKean-Vlasov SDEs with non-Lipschitz coefficients
![QR code for arXiv:1207.2523 [math.PR]](http://oss.arxitics.com/images/favicon.svg)