Marie-Claude Arnaud

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All published works

Action	Title	Year	Authors
+	Vanishing asymptotic Maslov index for conformally symplectic flows	2024	Marie-Claude Arnaud Anna Florio Valentine Roos
+ PDF Chat	Denjoy subsystems and horseshoes	2024	Marie-Claude Arnaud
+ PDF Chat	Higher Dimensional Birkhoff attractors	2024	Marie-Claude Arnaud Vincent Humilière Claude Viterbo
+	The dynamics of conformal Hamiltonian flows: dissipativity and conservativity	2024	Simon Allais Marie-Claude Arnaud
+ PDF Chat	Invariant submanifolds of conformal symplectic dynamics	2024	Marie-Claude Arnaud Jacques Féjoz
+	Weak K. A. M. solutions and minimizing orbits of twist maps	2023	Marie-Claude Arnaud Maxime Zavidovique
+	On the fragility of periodic tori for families of symplectic twist maps	2023	Marie-Claude Arnaud Jessica Elisa Massetti Alfonso Sorrentino
+	Dynamische Systeme	2022	Marie-Claude Arnaud Helmut Hofer Michael Hutchings Vadim Kaloshin
+ PDF Chat	On the $$C^1$$ and $$C^2$$-Convergence to Weak K.A.M. Solutions	2022	Marie-Claude Arnaud Xifeng Su
+	On the persistence of periodic tori for symplectic twist maps and the rigidity of integrable twist maps	2022	Marie-Claude Arnaud Jessica Elisa Massetti Alfonso Sorrentino
+	On the persistence of periodic tori for symplectic twist maps and the rigidity of integrable twist maps	2022	Marie-Claude Arnaud Jessica Elisa Massetti Alfonso Sorrentino
+ PDF Chat	Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2	2022	Marie-Claude Arnaud Maxime Zavidovique
+	Vanishing asymptotic Maslov index for conformally symplectic flows	2022	Marie-Claude Arnaud Anna Florio Valentine Roos
+	Weak K.A.M. solutions and minimizing orbits of twist maps	2022	Marie-Claude Arnaud Maxime Zavidovique
+ PDF Chat	On the $C^1$ and $C^2$-convergence to weak K.A.M. solutions	2022	Marie-Claude Arnaud Xifeng Su
+	The dynamics of conformal Hamiltonian flows: dissipativity and conservativity	2022	Simon Allais Marie-Claude Arnaud
+ PDF Chat	DENJOY SUB-SYSTEMS AND HORSESHOES	2020	Marie-Claude Arnaud
+ PDF Chat	A C^1 Arnol'd-Liouville theorem	2020	Marie-Claude Arnaud Jinxin Xue
+	Berger And Turaev's Proof of Herman's Conjecture of Positive Entropy	2020	Marie-Claude Arnaud
+ PDF Chat	A C^1 Arnol'd-Liouville theorem	2020	Marie-Claude Arnaud Jinxin Xue
+	Denjoy sub-systems and horseshoes	2020	Marie-Claude Arnaud
+	LA DÉMONSTRATION DE LA CONJECTURE DE L’ENTROPIE POSITIVE D’HERMAN D'APRES BERGER ET TURAEV	2019	Marie-Claude Arnaud
+	On the transversal dependence of weak K.A.M. solutions for symplectic twist maps	2018	Marie-Claude Arnaud Maxime Zavidovique
+	A notion of Denjoy sub-system	2017	Marie-Claude Arnaud Patrice Le Calvez
+	A multidimensional Birkhoff theorem for time-dependent Tonelli Hamiltonians	2017	Marie-Claude Arnaud Andrea Venturelli
+ PDF Chat	A notion of Denjoy sub-system	2017	Marie-Claude Arnaud Patrice Le Calvez
+ PDF Chat	The non-hyperbolicity of irrational invariant curves for twist maps and all that follows	2016	Marie-Claude Arnaud Pierre Berger
+	Lyapunov exponents for conservative twisting dynamics: a survey	2016	Marie-Claude Arnaud
+ PDF Chat	Lyapunov Exponents of Minimizing Measures for Globally Positive Diffeomorphisms in All Dimensions	2016	Marie-Claude Arnaud
+ PDF Chat	Lyapunov exponents of minimizing measures for globally positive diffeomorphisms in all dimensions	2016	Marie-Claude Arnaud
+	A multidimensional birkhoff theorem for time-dependent tonelli hamiltonians	2016	Marie-Claude Arnaud Andrea Venturelli
+	Rigidity in topology<i>C</i><sup>0</sup>of the Poisson bracket for Tonelli Hamiltonians	2015	Marie-Claude Arnaud
+	Tonelli Hamiltonians without conjugate points and $$C^0$$ C 0 integrability	2015	Marc Arcostanzo Marie-Claude Arnaud Philippe Bolle Maxime Zavidovique
+	Hyperbolicity for conservative twist maps of the 2-dimensional annulus	2015	Marie-Claude Arnaud
+ PDF Chat	The non-hyperbolicity of irrational invariant curves for twist maps and all that follows	2014	Marie-Claude Arnaud Pierre Berger
+	Greeen bundles and invariant curves for symplectic twist maps.	2014	Marie-Claude Arnaud
+	Lyapunov exponents for conservative twisting dynamics: a survey	2014	Marie-Claude Arnaud
+ PDF Chat	C 1-generic billiard tables have a dense set of periodic points	2013	Marie-Claude Arnaud
+ PDF Chat	When are the invariant submanifolds of symplectic dynamics Lagrangian?	2013	Marie-Claude Arnaud
+ PDF Chat	Boundaries of instability zones for symplectic twist maps	2013	Marie-Claude Arnaud
+	Tonelli Hamiltonians without conjugate points and $C^0$ integrability	2013	Marc Arcostanzo Marie-Claude Arnaud Philippe Bolle Maxime Zavidovique
+ PDF Chat	C^1-generic billiard tables have a dense set of periodic points	2013	Marie-Claude Arnaud
+	Poincaré Birkhoff theorem.	2012	Marie-Claude Arnaud
+ PDF Chat	Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of Oseledets’ splitting	2012	Marie-Claude Arnaud
+	A nondifferentiable essential irrational invariant curve for a $C^1$ symplectic twist map	2011	Marie-Claude Arnaud
+ PDF Chat	The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents	2011	Marie-Claude Arnaud
+	Irregularity and regularity of invariant curves for symplectic twist maps.	2011	Marie-Claude Arnaud
+	Invariant Lagrangian manifolds for Tonelli Hamiltonians.	2011	Marie-Claude Arnaud
+	Irregular invariant curves for symplectic twist maps.	2011	Marie-Claude Arnaud
+	Green Bundles and Related Topics	2011	Marie-Claude Arnaud
+ PDF Chat	A nondifferentiable essential irrational invariant curve for a $C^1$ symplectic twist map	2011	Marie-Claude Arnaud
+	A particular minimization property implies <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math>-integrability	2010	Marie-Claude Arnaud
+ PDF Chat	Pseudographs and the Lax–Oleinik semi-group: a geometric and dynamical interpretation	2010	Marie-Claude Arnaud
+	On a Theorem Due to Birkhoff	2010	Marie-Claude Arnaud
+	A certain minimization property implies a certain integrability	2010	Marie-Claude Arnaud
+	On a theorem due to Birkhoff	2010	Marie-Claude Arnaud
+	Are pseudographs Lagrangian submanifolds	2010	Marie-Claude Arnaud
+	Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures	2010	Marie-Claude Arnaud
+	Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures	2010	Marie-Claude Arnaud
+	A certain minimization property implies a certain integrability	2010	Marie-Claude Arnaud
+	On a theorem due to Birkhoff	2010	Marie-Claude Arnaud
+	The link between the shape of the Aubry-Mather sets and their Lyapunov exponents	2009	Marie-Claude Arnaud
+	Three results on the regularity of the curves that are invariant by an exact symplectic twist map . Invariant subspaces for operators in a general II[1]-factor . Weakly commensurable arithmetic groups and isospectral locally symmetric spaces . The C[1] generic diffeomorphism has trivial centralizer . Finitude homotopique et isotopique des structures de contact tendues . Deux caractérisations de la mesure d'équilibre d'un endomorphisme de P[k](C) (Erratum)	2009	Marie-Claude Arnaud Uffe Haagerup Hanne Schultz Gopal Prasad Andrei S. Rapinchuk Christian Bonatti Sylvain Crovisier Amie Wilkinson Vincent Colin Emmanuel Giroux
+ PDF Chat	Fibrés de Green et Régularité des Graphes C 0-Lagrangiens Invariants par un Flot de Tonelli	2008	Marie-Claude Arnaud
+	The tiered Aubry set for autonomous Lagrangian functions	2008	Marie-Claude Arnaud
+ PDF Chat	The tiered Aubry set for autonomous Lagrangian functions	2008	Marie-Claude Arnaud
+	Hyperbolic periodic orbits and Mather sets in certain symmetric cases	2006	Marie-Claude Arnaud
+	Type des orbites périodiques des flots associés à des lagrangiens optiques homogènes	2006	Marie-Claude Arnaud
+ PDF Chat	Dynamiques symplectiques génériques	2005	Marie-Claude Arnaud Christian Bonatti Sylvain Crovisier
+	Approximation des ensembles ω-limites des difféomorphismes par des orbites périodiques	2003	Marie-Claude Arnaud
+	The generic symplectic C^{1}-diffeomorphisms of four-dimensional symplectic manifolds are hyperbolic, partially hyperbolic or have a completely elliptic periodic point	2002	Marie-Claude Arnaud
+	The 2-link periodic orbits which maximize or minimize the length of a<i>p</i>-dimensional Birkhoff billiard are hyperbolic	2002	Marie-Claude Arnaud
+	Création de connexions en topologie <i>C</i><sup>1</sup>	2001	Marie-Claude Arnaud
+	Difféomorphismes symplectiques de classe C1 en dimension 4	2000	Marie-Claude Arnaud
+	Cr�ation de connexions en topologie C1 pour les flots des surfaces	1999	Marie-Claude Arnaud
+	Création de connexions en topologie C1	1999	Marie-Claude Arnaud
+	Existence d'orbites périodiques complètement elliptiques des Hamiltoniens convexes présentant certaines symétries	1999	Marie-Claude Arnaud
+	On the type of certain periodic orbits minimizing the Lagrangian action	1998	Marie-Claude Arnaud
+ PDF Chat	Le «closing lemma» en topologie $C^1$	1998	Marie-Claude Arnaud
+ PDF Chat	Création de points périodiques de tous types au voisinage des tores K.A.M.	1995	Marie-Claude Arnaud
+	Type of critical points of Hamiltonian functions and of fixed points of symplectic diffeomorphisms	1994	Marie-Claude Arnaud
+ PDF Chat	Type des points fixes des difféomorphismes symplectiques de $\bbfT{}\sp n\times{}\bbfR{}\sp n$	1992	Marie-Claude Arnaud
+	Type des points fixes des difféomorphismes symplectiques de $\mathbb {T}{}^n\times {}\mathbb {R}{}^n$	1992	Marie-Claude Arnaud
+	Points périodiques et tores lagrangiens invariants des difféomorphismes symplectiques	1990	Marie-Claude Arnaud

Common Coauthors

Coauthor	Papers Together
Maxime Zavidovique	6
Jessica Elisa Massetti	3
Alfonso Sorrentino	3
Christian Bonatti	2
Simon Allais	2
Andrea Venturelli	2
Philippe Bolle	2
Sylvain Crovisier	2
Jinxin Xue	2
Pierre Berger	2
Marc Arcostanzo	2
Xifeng Su	2
Valentine Roos	2
Anna Florio	2
Patrice Le Calvez	2
Jacques Féjoz	1
Vadim Kaloshin	1
Andrei S. Rapinchuk	1
Vincent Humilière	1
Hanne Schultz	1
Julien Duval	1
Emmanuel Giroux	1
Claude Viterbo	1
Amie Wilkinson	1
Ko Honda	1
Uffe Haagerup	1
Gopal Prasad	1
Vincent Colin	1
Michael Hutchings	1
Helmut Hofer	1
Jean-Yves Briend	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Action minimizing invariant measures for positive definite Lagrangian systems	1991	John N. Mather	18
+	The dynamics of pseudographs in convex Hamiltonian systems	2008	Patrick Bernard	15
+ PDF Chat	Fibrés de Green et Régularité des Graphes C 0-Lagrangiens Invariants par un Flot de Tonelli	2008	Marie-Claude Arnaud	14
+	Convex Hamiltonians without conjugate points	1999	Gonzalo Contreras Renato Iturriaga	13
+	Symplectic Twist Maps: Global Variational Techniques	2001	Christophe Golé	12
+	Sur les courbes invariantes par les difféomorphismes de l'anneau. II	1986	Michael R. Herman	10
+ PDF Chat	Three results on the regularity of the curves that are invariant by an exact symplectic twist map	2009	M.-C. Arnaud	10
+	The discrete Frenkel-Kontorova model and its extensions	1983	S. Aubry P. Y. Le Daëron	10
+	On conservation of conditionally periodic motions for a small change in Hamilton's function	1954	A N Kolmogorov	9
+	Existence of quasi-periodic orbits for twist homeomorphisms of the annulus	1982	John N. Mather	9
+	The link between the shape of the Aubry-Mather sets and their Lyapunov exponents	2009	Marie-Claude Arnaud	9
+	On the existence of invariant curves of twist mappings of an annulus	1983	Helmut Rüßmann	8
+	Inégalités « a priori » pour des tores lagrangiens invariants par des difféomorphismes symplectiques	1989	Michael R. Herman	8
+	Lagrangian Graphs, Minimizing Measures and Ma��'s Critical Values	1998	Mauricio Contreras Renato Iturriaga Gabriel P. Paternain Miguel Paternain	8
+ PDF Chat	Sur la Conjugaison Différentiable des Difféomorphismes du Cercle a des Rotations	1979	Michael R. Herman	8
+ PDF Chat	Symplectic twist maps without conjugate points	2004	Misha Bialy Robert S. MacKay	8
+	Generic properties and problems of minimizing measures of Lagrangian systems	1996	Ricardo Mañé	7
+	Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures	2012	M.-C. Arnaud	7
+	On minimizing measures of the action of autonomous Lagrangians	1995	Mario Carneiro	7
+ PDF Chat	On the multiplicative ergodic theorem for uniquely ergodic systems	1997	Alex Furman	6
+	On a Theorem Due to Birkhoff	2010	Marie-Claude Arnaud	6
+ PDF Chat	Regularity of C$^1$ solutions of the Hamilton-Jacobi equation	2003	Albert Fathi	6
+ PDF Chat	Connecting orbits between static classes for generic Lagrangian systems	2002	Gonzalo Contreras Gabriel P. Paternain	5
+ PDF Chat	The <i>C</i><sup>1</sup> Closing Lemma, including Hamiltonians	1983	Charles Pugh Clark Robinson	5
+ PDF Chat	Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of Oseledets’ splitting	2012	Marie-Claude Arnaud	5
+ PDF Chat	Differentiability of Mather's average action and integrability on closed surfaces	2011	Daniel Massart Alfonso Sorrentino	5
+ PDF Chat	The tiered Aubry set for autonomous Lagrangian functions	2008	Marie-Claude Arnaud	5
+	Lectures on Symplectic Manifolds	1977	Alan Weinstein	5
+ PDF Chat	A geometric proof of the existence of the Green bundles	2002	Renato Iturriaga	5
+ PDF Chat	The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents	2011	Marie-Claude Arnaud	4
+	A geometric definition of the Mañé-Mather set and a Theorem of Marie-Claude Arnaud.	2011	Patrick Bernard JOANA OLIVEIRA DOS SANTOS	4
+ PDF Chat	Quasi-Anosov diffeomorphisms and hyperbolic manifolds	1977	Ricardo Mañé	4
+	Connecting Invariant Manifolds and the Solution of the C 1 Stability and Ω-Stability Conjectures for Flows	1997	Shuhei Hayashi	4
+	Ergodic Theory and Differentiable Dynamics	1987	Ricardo Mañé	4
+ PDF Chat	Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation	2004	Albert Fathi Antonio Siconolfi	4
+	Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens	1997	Albert Fathi	4
+	Action potential and weak KAM solutions	2001	Gonzalo Contreras	4
+ PDF Chat	Weak kam theorem on non compact manifolds	2007	Albert Fathi Ezequiel Maderna	3
+ PDF Chat	Monotone twist mappings and the calculus of variations	1986	Jürgen Moser	3
+	Generic properties of conservative systems	1971	R. Clark Robinson	3
+	Hamiltonian diffeomorphisms and lagrangian distributions	1992	Misha Bialy Leonid Polterovich	3
+ PDF Chat	A C<sup>1</sup>-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources	2003	Christian Bonatti Lorenzo J. Díaz Enrique Pujals	3
+	Lagrangian singularities of invariant tori of hamiltonian systems with two degrees of freedom	1989	Misha Bialy Leonid Polterovich	3
+	Greene's residue criterion	1992	Robert S. MacKay	3
+	Quasi-Elliptic Periodic Points in Conservative Dynamical Systems.	2020	Sheldon E. Newhouse	3
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	3
+	Hamiltonian systems, Lagrangian tori and Birkhoff's theorem	1992	Misha Bialy Leonid Polterovich	3
+ PDF Chat	Variational construction of orbits of twist diffeomorphisms	1991	John N. Mather	3
+	Lagrangian flows: The dynamics of globally minimizing orbits-II	1997	Gonzalo Contreras Jorge Delgado Renato Iturriaga	3
+ PDF Chat	Minimizing orbits in the discrete Aubry–Mather model	2011	Eduardo Garibaldi Philippe Thieullen	3