Differentiability and analyticity of topological entropy for Anosov and geodesic flows |
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| Authors: | A. Katok G. Knieper M. Pollicott H. Weiss |
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| Affiliation: | (1) California Institute of Technology, 91125 Pasadena, CA, USA;(2) Freie Universität Berlin, Arnimallee 3, D-1000 Berlin 33;(3) Centro de Mathematica da Universidade do Porto, Prasa Gomes Teixeiro, 4000 Porto, Portugal;(4) California Institute of Technology, 91125 Pasadena, CA, USA |
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| Abstract: | Summary In this paper we investigate the regularity of the topological entropyhtop forCk perturbations of Anosov flows. We show that the topological entropy varies (almost) as smoothly as the perturbation. The results in this paper, along with several related results, have been announced in [KKPW].Partially supported by NSF Grant DMS85-14630 |
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