We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
"Fractal Dimension of a Random Invariant Set and Applications." J. Appl. Math. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/415764