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Continuous averaging proof of the Nekhoroshev theorem (1210.3884v1)
Published 15 Oct 2012 in math.DS
Abstract: In this paper we develop the continuous averaging method of Treschev to work on the simultaneous Diophantine approximation and apply the result to give a new proof of the Nekhoroshev theorem. We obtain a sharp normal form theorem and an explicit estimate of the stability constants appearing in the Nekhoroshev theorem.
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