Research papers
| 1. |
Existence of periodic orbits for geodesible vector fields on closed 3-manifolds. |
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Ergodic Theory and Dynamical Systems 30 (2010), no. 6, 1817-1841. |
pdf | journal |
| 2. |
Minimal Folner foliations are amenable. |
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With Fernando Alcalde Cuesta. Discrete and
Continuous Dynamical Systems - Series A, Vol. 31, no. 3, 2011.
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pdf | journal |
| 3. |
Averaging sequences. |
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With Fernando Alcalde Cuesta. Pacific Journal of
Mathematics, Vol. 255, No. 1, 1-23, 2012. |
pdf | journal |
| 4. |
The Weinstein conjecture in the presence of submanifolds having a Legendrian foliation. |
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With Klaus Niederkruger. Journal of Topology
and Analysis (2011), Volume 3, Issue 4, 405-421. |
pdf | journal |
| 5. |
The dynamics of generic
Kuperberg flows. |
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With Steve Hurder.
Astérisque (2016), Vol. 377:1-250. |
pdf | journal |
| 6. |
Two proofs of Taubes' theorem on strictly ergodic flows. |
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With Victor Kleptsyn. Contributions of Mexican
mathematicians abroad in pure and applied mathematics,
69--73. Contemp. Math., 709, Aportaciones Mat.,
Amer. Math. Soc. (2018) |
pdf | journal |
| 7. |
Aperiodicity at the boundary of chaos. |
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With Steve Hurder. Ergodic Theory and Dynamical
Systems 38 (2018), no. 7, 2683-2728. |
pdf | journal
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| 8. |
Equivalence of Deterministic walks on regular lattices on the plane. |
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With Raul Rechtman. Physica A: Statistical Mechanics and its Applications
Vol. 466, 69-78, 2017. |
pdf | journal |
| 9. |
The trunkenness of a
volume-preserving vector field. |
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With Pierre Dehornoy. Nonlinearity 20 (2017),
no. 11, 4089-4110. |
pdf | journal |
| 10. |
A characterization of 3D steady
Euler flows using commuting zero-flux homologies. |
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With Daniel Peralta Salas and Francisco Torres de
Lizaur. Ergodic Theory and Dynamical Systems, 41(2021), no. 7, 2166-2181. |
pdf | journal |
| 11. |
Vector fields and genus in
dimension 3. |
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With Pierre Dehornoy. International
Mathematics Research Notices, Volume 2022, Issue 5 (2022), 3262-3277. |
pdf |
journal |
| 12. |
On the existence of supporting broken book decompositions for contact forms in dimension 3. |
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With Vincent Colin and Pierre Dehornoy. Inventiones Mathematicae, 2022. |
pdf |
journal |
| 13. |
Generic properties of 3-dimension Reeb flows: Birkhoff sections and entropy. |
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With Vincent Colin, Pierre Dehornoy and Umberto Hryniewicz.To appear in Commentarii Mathematici Helvetici. |
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| 14. |
Periodic orbits and Birkhoff sections of Stable Hamiltonian structures. |
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With Robert Cardona. |
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Thesis and survey papers
| 1. |
Use and disuse of plugs in foliations. |
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Ph.D. Thesis at École Normal Supérieure de Lyon (2009). |
pdf |
| 2. |
Perspectives on Kuperberg flows. |
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With Steve Hurder. Topology Proceedings 51 (2018),
197 -- 244. |
pdf | journal |
| 3. |
Topological aspects of flows on
3 dimensions. |
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HDR thesis. |
pdf | |
| 4. |
Kuperberg dreams. |
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With Steve Hurder. For celebratio.org |
pdf | celebratio |
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