Differentiability Properties of the Pre-Image Pressure
Joint Authors
Yan, Kesong
Zeng, Fanping
Zhang, Gengrong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study the differentiability properties of the pre-image pressure.
For a TDS (X,T) with finite topological pre-image entropy, we prove the pre-image pressure function Ppre(T,•) is Gateaux differentiable at f∈C(X,R) if and only if Ppre(T,•) has a unique tangent functional at f.
Also, we obtain some equivalent conditions for Ppre(T,•) to be Fréchet differentiable at f.
American Psychological Association (APA)
Yan, Kesong& Zeng, Fanping& Zhang, Gengrong. 2012. Differentiability Properties of the Pre-Image Pressure. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-510877
Modern Language Association (MLA)
Yan, Kesong…[et al.]. Differentiability Properties of the Pre-Image Pressure. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-510877
American Medical Association (AMA)
Yan, Kesong& Zeng, Fanping& Zhang, Gengrong. Differentiability Properties of the Pre-Image Pressure. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-510877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510877
