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Mathematics  2015 

On Lipschitz maps and their flows

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This paper regroups some of the basic properties of Lipschitz maps and their flows. While some of the results presented here have already appeared in other papers, most of them are either only and classically known in the case of smooth maps and needed to be proved in the Lipschitz case for a better understanding of the Lipschitz geometry or are new and necessary to the development of numerical methods for rough paths.


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