Santiago Barbieri

Professor Lector

Universitat de Girona

Articles and preprints

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

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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/

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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

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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

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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

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6 - S. Barbieri, L. Biasco, L. Chierchia, D. Zaccaria, Singular KAM Theory for convex Hamiltonian systems, Regular and Chaotic Dynamics, accepted, 2025

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7 - S. Barbieri, Semi-algebraic Geometry and generic Hamiltonian stability, preprint

https://hal.science/hal-04213250v2/document

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8 - S. Barbieri, A. Clarke, Existence and nonexistence of invariant curves of coin billiards, preprint

https://arxiv.org/abs/2411.13214

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