Fractal Dimension of a Random Invariant Set and Applications | Zendy

Wang Gang | Zendy; Yanbin Tang | Zendy

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Fractal Dimension of a Random Invariant Set and Applications

Author(s) -

Wang Gang,

Yanbin Tang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/415764

Subject(s) - mathematics , multifractal system , fractal , attractor , invariant (physics) , fractal dimension , fractal dimension on networks , degenerate energy levels , minkowski–bouligand dimension , dimension (graph theory) , mathematical analysis , fractal derivative , effective dimension , upper and lower bounds , fractal landscape , pure mathematics , hausdorff dimension , statistical physics , fractal analysis , mathematical physics , physics , quantum mechanics

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

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