Flows driven by rough paths
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I will show in this talk how the familiar Taylor formula can be
used in a simple way to reprove from scratch the main existence and
well-posedness results from rough paths theory; giving straightforward
explanations to the explosion question, convergence of Euler schemes and
Taylor expansion. Unlike other approaches, we work mainly with flows of maps
rather than with paths. If time permits , I will illustrate my approach by
giving a well-posedness result for some mean field stochastic rough
differential equation.
This talk is part of the Probability series.
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