Summary
In this paper we investigate the regularity of the topological entropyh top forC k 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].
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Partially supported by NSF Grant DMS85-14630
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Katok, A., Knieper, G., Pollicott, M. et al. Differentiability and analyticity of topological entropy for Anosov and geodesic flows. Invent Math 98, 581–597 (1989). https://doi.org/10.1007/BF01393838
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DOI: https://doi.org/10.1007/BF01393838