1 - S. Barbieri, L. Niederman, Sharp Nekhoroshev estimates for the three-body problem around periodic orbits,
Journal of Differential Equations, Vol. 268, Issue 7, Pages 3749-3780, 2020.
https://www.sciencedirect.com/science/article/abs/pii/S0022039619304814
Codes used in this article
--------------------------------------------------------------------------------------------------
2 - S. Barbieri, On the algebraic properties of exponentially stable integrable hamiltonian systems,
Annales de la Faculté des Sciences de Toulouse, Volume 31, Number 5, Pages 1365-1390, 2022.
https://afst.centre-mersenne.org/articles/10.5802/afst.1723/
--------------------------------------------------------------------------------------------------
3 - S. Barbieri, J.-P. Marco, J. Massetti, Analytic Smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians,
Communications in Mathematical Physics, Volume 396, Number 1, Pages 349-381, 2022.
https://link.springer.com/article/10.1007/s00220-022-04464-0
--------------------------------------------------------------------------------------------------
4 - S. Barbieri, L. Niederman, Bernstein-Remez inequality for algebraic functions: a topological approach,
Nonlinear Analysis, 237, 113371, 2023
https://www.sciencedirect.com/science/article/abs/pii/S0362546X23001633?dgcid=rss_sd_all
--------------------------------------------------------------------------------------------------
5 - S. Barbieri, G. Farré, Nearly-optimal effective stability estimates around Diophantine tori of Hölder Hamiltonians,
Journal of Dynamics and Differential Equations, 2024
https://link.springer.com/article/10.1007/s10884-024-10397-0
--------------------------------------------------------------------------------------------------
6 - S. Barbieri, Semi-algebraic Geometry and generic Hamiltonian stability, preprint
https://hal.science/hal-04213250v2/document
--------------------------------------------------------------------------------------------------
7 - S. Barbieri, A. Clarke, Existence and nonexistence of invariant curves of coin billiards, preprint
https://arxiv.org/abs/2411.13214
--------------------------------------------------------------------------------------------------
|