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Fractal dimension of random invariant sets and regular random attractors for stochastic hydrodynamical equations

Renhai Wang, Boling Guo, Wei Liu, D.T. Nguyen

2023Mathematische Annalen30 citationsDOI

Topics & Concepts

MathematicsAttractorRandom dynamical systemFractal dimensionFractalInvariant (physics)UniquenessLinear subspacePullbackInvariant subspaceBanach spaceErgodic theoryPure mathematicsSubspace topologyEffective dimensionMultifractal systemRandom compact setMathematical analysisHausdorff dimensionRandom elementRandom fieldLinear systemStatisticsMathematical physicsLinear dynamical systemStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNavier-Stokes equation solutions
Fractal dimension of random invariant sets and regular random attractors for stochastic hydrodynamical equations | Litcius