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Fractal Dimension of a Random Invariant Set and Applications

Author

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  • Gang Wang
  • Yanbin Tang

Abstract

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.

Suggested Citation

  • Gang Wang & Yanbin Tang, 2013. "Fractal Dimension of a Random Invariant Set and Applications," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, November.
    • Handle: RePEc:hin:jnljam:415764
    DOI: 10.1155/2013/415764
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    Cited by:

    1. Da, Nguyen Tien, 2023. "A new result on the fractal dimension estimates of random attractor for non-autonomous random 2D stochastic dynamical type systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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