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math.DS2022
Analytic Smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
In this paper we prove the first result of Nekhoroshev stability for steep Hamiltonians in Hölder class. Our new approach combines the classical theory of normal forms in analytic…
math.AG2022
Bernstein-Remez inequality for Nash functions: A complex analytic approach
Santiago Barbieri, Laurent Niederman
Consider an open, bounded set , a positive integer and a compact of cardinality strictly greater than . We prove that, for any fu…