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Santiago Barbieri

Postdoctoral Researcher in Mathematics

Universitat de Barcelona

 

 

Articles and Preprints
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

 

 

                                  Codes used in this article

 

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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

accepted for publication in Journal of Dynamics and Differential Equations, 2024

 

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

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

 

 

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

https://arxiv.org/abs/2411.13214

 

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Article
480 ko
Article.pdf
Nekhoroshev restricted 5-5 2nf
830 ko
Nekhoroshev_restricted_5-5_2nf.nb
Nekhoroshev Planetary 11 25
910 ko
Nekhoroshev_Planetary_11_25.nb
5-jet-condition-3
290 ko
5-jet-condition-3.pdf
BMM CMP revised
1,5 Mo
BMM_CMP_revised.pdf
Bernstein Remez migliore
340 ko
Bernstein_Remez_migliore.pdf
JDDE final
300 ko
JDDE_final.pdf
Barbieri AMS
790 ko
Barbieri_AMS.pdf
Cm ic 2
4,9 Mo
cm_ic_2.pdf

8 - S. Barbieri, L. Biasco, L. Chierchia, D. Zaccaria, Singular KAM Theory for generalized natural systems, preprint

Manuscrit final 2eme soumission
4,1 Mo
Manuscrit_final_2eme_soumission.pdf
My PhD Thesis
P. Bolle's report on my PhD Thesis
Rapport Bolle
250 ko
Rapport_Bolle.pdf
Rapport Bambusi
610 ko
Rapport_Bambusi.pdf

D. Bambusi's report on my Phd Thesis