!!Marie-Claude Arnaud - Selected Publications
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1. A C1 Arnold-Liouville theorem, with Jinxin Xue. \\
To appear in Astérisque, Yoccoz memorial volume.\\
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2. A multidimensional Birkhoff theorem for time-dependent Tonelli Hamiltonians, with Andrea Venturelli. Calc. Var. Partial Differential Equations, 56 (2017), no. 4, 27 p.\\
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3. Lyapunov exponents of minimizing measures for globally positive diffeomorphisms in all dimensions.\\
Comm. Math. Phys., 343 (2016), no. 3, p. 783–810.\\
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4. with P. Berger. The non-hyperbolicity of irrational invariant curves for twist maps and all that follows, preprint sur HAL,  Revista Matemática Iberoamericana  number 32.4 (2016) pp. 1295–1310\\
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5. Boundaries of instability zones for symplectic twist maps.\\
J. Inst. Math. Jussieu, 13 (2014), no. 1, 1941.\\
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6. Lower and upper bounds  for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of the Oseledet’s splitting, Ergodic Theory and Dynamical Systems, volume 33, issue 03, (2013),  pp. 693-712 .\\
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7. Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures.\\
Ann. Inst. H. Poincaré Anal. Non Linéaire, 29 (2012), no. 6, p. 989–1007.\\
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8.  The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents.\\
Ann. of Math. (2), 174 (2011), no. 3, p. 1571–1601.\\
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9. On a theorem due to Birkhoff. Geom. Funct. Anal., 20 (2010), no. 6, p. 1307–1316.\\
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10. Three results on the regularity of the curves that are invariant by an exact symplectic twist map.\\
Publ. Math. Inst. Hautes Etudes Sci., 109  (2009), p. 1–17.\\
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11. Fibrés de Green et régularité  des graphes C0-lagrangiens invariants par un flot de Tonelli,Annales Henri Poincaré 9 (5) (2008), 881-926\\
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12. Création de connexions en topologie C1. \\
Ergodic Theory Dynam. Systems, 21 (2001), p. 339–381.\\
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13. Le "Closing Lemma" en topologie C1, Supplément au Bull. Soc. Math. Fr. 74 (1998)