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Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion

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arxiv 1701.06026 v1 pith:ZH7RKEPQ submitted 2017-01-21 math.DS

Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion

classification math.DS
keywords stabilityanalyticarnolddiffusionintegrablenearlyoptimalquasi-convex
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We improve the global Nekhoroshev stability for analytic quasi-convex nearly integrable Hamiltonian systems. The new stability result is optimal, as it matches the fastest speed of Arnold diffusion.

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