Open Access
2013 Fractal Dimension of a Random Invariant Set and Applications
Gang Wang, Yanbin Tang
J. Appl. Math. 2013: 1-5 (2013). DOI: 10.1155/2013/415764


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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Gang Wang. Yanbin Tang. "Fractal Dimension of a Random Invariant Set and Applications." J. Appl. Math. 2013 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950659
MathSciNet: MR3124614
Digital Object Identifier: 10.1155/2013/415764

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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