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Journal of the London Mathematical Society 1992 s2-46(3):471-481; doi:10.1112/jlms/s2-46.3.471
© 1992 by London Mathematical Society
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© Oxford University Press

Differentiability Properties of the Pressure of a Continuous Transformation on a Compact Metric Space

Peter Walters

Mathematics Institute, University of Warwick Coventry CV4 7AL

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 Fréchet differentiable at a given f {varepsilon} C(X).


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