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Estimation of topological entropy in random dynamical systems

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Abstract For C r ( r > 1 ) random dynamical systems F on a compact smooth Riemannian manifold M, the fiber topological entropy is bounded above by an integral… Click to show full abstract

Abstract For C r ( r > 1 ) random dynamical systems F on a compact smooth Riemannian manifold M, the fiber topological entropy is bounded above by an integral formula. Particularly, for the C ∞ random dynamical systems, the integral formula coincides with the fiber topological entropy.

Keywords: random dynamical; entropy random; topological entropy; dynamical systems; estimation topological

Journal Title: Journal of Differential Equations
Year Published: 2020

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