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We prove the stochastic stability of an open class of partially hyperbolicdiffeomorphisms, each of which admits two centers $E^c_1$ and $E^c_2$ such thatany Gibbs $u$-state admits only positive (resp. negative) Lyapunov exponentsalong $E^c_1$ (resp. $E^c_2$).

Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers