Integral characterizations of uniform h-dichotomy in mean for discrete-time stochastic skew-evolution semiflows

The paper provides integral characterizations for the concept of uniform dichotomy in the mean with growth rates for discrete-time stochastic skew-evolution semiflows in Banach spaces. More precisely, necessary and sufficient conditions are given using both invariant projection families and strongly invariant projection families to the discrete-time stochastic skew-evolution semiflows. As a consequence, we obtain integral characterizations for uniform exponential dichotomy in mean.