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DIFFERENTIABILITY PROPERTIES OF THE PRESSURE OF A CONTINUOUS TRANSFORMATION ON A COMPACT METRIC SPACE
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UNSPECIFIED (1992) DIFFERENTIABILITY PROPERTIES OF THE PRESSURE OF A CONTINUOUS TRANSFORMATION ON A COMPACT METRIC SPACE. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 46 (Part 3). pp. 471-481. ISSN 0024-6107.
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Abstract
We study the topological pressure of a continuous transformation T with finite topological entropy on a compact metric space X. We give a family of examples which have a unique tangent functional at the constant function zero and the unique tangent functional is not ergodic. We obtain several necessary and sufficient conditions for the pressure of T to be Frechet differentiable at a given f is-an-element-of C(X).
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | ||||
Publisher: | LONDON MATH SOC | ||||
ISSN: | 0024-6107 | ||||
Official Date: | December 1992 | ||||
Dates: |
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Volume: | 46 | ||||
Number: | Part 3 | ||||
Number of Pages: | 11 | ||||
Page Range: | pp. 471-481 | ||||
Publication Status: | Published |
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