Differentiability Properties of the Pre-Image Pressure

Kesong Yan, Fanping Zeng and Gengrong Zhang

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-14

Abstract:

We study the differentiability properties of the pre-image pressure. For a TDS with finite topological pre-image entropy, we prove the pre-image pressure function is Gateaux differentiable at if and only if has a unique tangent functional at . Also, we obtain some equivalent conditions for to be Fréchet differentiable at .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:951691

DOI: 10.1155/2012/951691

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