Renormalisation of vector fields for a generic frequency vector
نویسنده
چکیده
We construct a rigorous renormalisation scheme for analytic vector fields on T. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it. This is valid for diophantine frequency vectors.
منابع مشابه
Renormalisation scheme for vector fields on T with a diophantine frequency
We construct a rigorous renormalisation scheme for analytic vector fields on T of Poincaré type. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it, related to the continued fraction expansion of the slope of the frequencies. This is valid for diophantine frequency vectors. Email: [email protected]
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