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C r-rigidity theorems for hyperbolic flows

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Abstract

We consider the differentiability of a conjugating homeomorphism for co-dimension-one hyperbolic flows, under certain measureability conditions. The simple central idea is to use symbolic dynamics to apply the analysis for the simpler case of internal maps.

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  1. Department of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King’s Buildings, Mayfield Road, EH 9 3JZ, Edinburgh, Scotland

    Mark Pollicott

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  1. Mark Pollicott
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Pollicott, M. C r-rigidity theorems for hyperbolic flows. Israel J. Math. 61, 14–28 (1988). https://doi.org/10.1007/BF02776299

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  • DOI: https://doi.org/10.1007/BF02776299

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