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Arnaud, Marie-Claude

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Author ID: arnaud.marie-claude Recent zbMATH articles by "Arnaud, Marie-Claude"
Published as: Arnaud, M-C; Arnaud, M. C.; Arnaud, M.-C.; Arnaud, Marie-Claude
Homepage: http://www.univ-avignon.fr/en/research/annuaire-chercheurs/membrestruc/personnel...
External Links: MGP · Wikidata
Documents Indexed: 45 Publications since 1989, including 1 Book

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 153 times in 100 Documents Cited by Year
The \(C^1\) closing lemma. Zbl 0920.58039
Arnaud, Marie-Claude
15
1998
On a theorem due to Birkhoff. Zbl 1216.37020
Arnaud, Marie-Claude
14
2010
Generic symplectic dynamics. Zbl 1084.37017
Arnaud, Marie-Claude; Bonatti, Christian; Crovisier, Sylvain
14
2005
The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents. Zbl 1257.37028
Arnaud, Marie-Claude
13
2011
Creation of connections in \(C^1\)-topology. Zbl 0997.37007
Arnaud, Marie-Claude
12
2001
The generic symplectic \(C^1\)-diffeomorphisms of four-dimensional symplectic manifolds are hyperbolic, partially hyperbolic or have a completely elliptic periodic point. Zbl 1030.37037
Arnaud, Marie-Claude
10
2002
Green bundles and regularity of \(C^0\)-Lagrangians invariant graphs of Tonelli flows. Zbl 1143.70009
Arnaud, Marie-Claude
9
2008
Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures. Zbl 1269.37031
Arnaud, M.-C.
6
2012
Tonelli Hamiltonians without conjugate points and \(C^0\) integrability. Zbl 1345.37063
Arcostanzo, M.; Arnaud, M.-C.; Bolle, P.; Zavidovique, M.
5
2015
Three results on the regularity of the curves that are invariant by an exact symplectic twist map. Zbl 1177.53070
Arnaud, M.-C.
5
2009
The non-hyperbolicity of irrational invariant curves for twist maps and all that follows. Zbl 1361.37046
Arnaud, Marie-Claude; Berger, Pierre
4
2016
Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of Oseledets’ splitting. Zbl 1269.37032
Arnaud, M.-C.
4
2013
A nondifferentiable essential irrational invariant curve for a \(C^1\) symplectic twist map. Zbl 1276.37034
Arnaud, Marie-Claude
4
2011
The tiered Aubry set for autonomous Lagrangian functions. Zbl 1152.37025
Arnaud, Marie-Claude
4
2008
Pseudographs and the Lax-Oleinik semi-group: a geometric and dynamical interpretation. Zbl 1284.05120
Arnaud, M-C
3
2011
Boundaries of instability zones for symplectic twist maps. Zbl 1290.37024
Arnaud, M.-C.
2
2014
\(C^1\)-generic billiard tables have a dense set of periodic points. Zbl 1417.37094
Arnaud, Marie-Claude
2
2013
Green bundles and related topics. Zbl 1243.37037
Arnaud, Marie-Claude
2
2011
A particular minimization property implies \(C^{0}\)-integrability. Zbl 1214.37044
Arnaud, M.-C.
2
2011
Hyperbolic periodic orbits and Mather sets in certain symmetric cases. Zbl 1118.37030
Arnaud, M.-C.
2
2006
Convergence of the semi-group of Lax-Oleinik: a geometric point of view. Zbl 1181.37018
Arnaud, M. C.
2
2005
Approximation des ensembles \(\omega\)-limites des difféomorphismes par des orbites pério-diques. (Approximation of \(\omega\)-limit sets of diffeomorphisms by periodic orbits). Zbl 1024.37011
Arnaud, Marie-Claude
2
2003
Symplectic \(C^1\)-diffeomorphisms of 4-dimensional manifolds. Zbl 0964.37034
Arnaud, Marie-Claude
2
2000
Existence of completely elliptic periodic orbits of symmetric and convex Hamiltonians. Zbl 0943.37029
Arnaud, Marie-Claude
2
1999
On the type of certain periodic orbits minimizing the Lagrangian action. Zbl 0901.58013
Arnaud, Marie-Claude
2
1998
Creation of periodic points of all types in the neighbourhood of K.A.M. tori. Zbl 0853.58046
Arnaud, Marie-Claude
2
1995
Types of fixed points of symplectic diffeomorphisms on \(\mathbb{T}^ n\times \mathbb{R}^ n\). Zbl 0758.58009
Arnaud, Marie-Claude
2
1992
Sur les points fixes des difféomorphismes exacts symplectiques de \(T^ n\times R^ n\). (Fixed points of exact symplectic diffeomorphisms of \(T^ n\times R^ n)\). Zbl 0696.57017
Arnaud, Marie-Claude
2
1989
Hyperbolicity for conservative twist maps of the 2-dimensional annulus. Zbl 1372.37087
Arnaud, Marie-Claude
1
2016
Lyapunov exponents for conservative twisting dynamics: a survey. Zbl 1362.37117
Arnaud, Marie-Claude
1
2016
When are the invariant submanifolds of symplectic dynamics Lagrangian? Zbl 1308.37026
Arnaud, Marie-Claude
1
2014
An “orbit closing lemma”. Zbl 0867.58040
Arnaud, Marie-Claude
1
1996
Type of critical points of Hamiltonian functions and of fixed points of symplectic diffeomorphisms. Zbl 0811.58022
Arnaud, Marie-Claude
1
1994
The non-hyperbolicity of irrational invariant curves for twist maps and all that follows. Zbl 1361.37046
Arnaud, Marie-Claude; Berger, Pierre
4
2016
Hyperbolicity for conservative twist maps of the 2-dimensional annulus. Zbl 1372.37087
Arnaud, Marie-Claude
1
2016
Lyapunov exponents for conservative twisting dynamics: a survey. Zbl 1362.37117
Arnaud, Marie-Claude
1
2016
Tonelli Hamiltonians without conjugate points and \(C^0\) integrability. Zbl 1345.37063
Arcostanzo, M.; Arnaud, M.-C.; Bolle, P.; Zavidovique, M.
5
2015
Boundaries of instability zones for symplectic twist maps. Zbl 1290.37024
Arnaud, M.-C.
2
2014
When are the invariant submanifolds of symplectic dynamics Lagrangian? Zbl 1308.37026
Arnaud, Marie-Claude
1
2014
Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of Oseledets’ splitting. Zbl 1269.37032
Arnaud, M.-C.
4
2013
\(C^1\)-generic billiard tables have a dense set of periodic points. Zbl 1417.37094
Arnaud, Marie-Claude
2
2013
Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures. Zbl 1269.37031
Arnaud, M.-C.
6
2012
The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents. Zbl 1257.37028
Arnaud, Marie-Claude
13
2011
A nondifferentiable essential irrational invariant curve for a \(C^1\) symplectic twist map. Zbl 1276.37034
Arnaud, Marie-Claude
4
2011
Pseudographs and the Lax-Oleinik semi-group: a geometric and dynamical interpretation. Zbl 1284.05120
Arnaud, M-C
3
2011
Green bundles and related topics. Zbl 1243.37037
Arnaud, Marie-Claude
2
2011
A particular minimization property implies \(C^{0}\)-integrability. Zbl 1214.37044
Arnaud, M.-C.
2
2011
On a theorem due to Birkhoff. Zbl 1216.37020
Arnaud, Marie-Claude
14
2010
Three results on the regularity of the curves that are invariant by an exact symplectic twist map. Zbl 1177.53070
Arnaud, M.-C.
5
2009
Green bundles and regularity of \(C^0\)-Lagrangians invariant graphs of Tonelli flows. Zbl 1143.70009
Arnaud, Marie-Claude
9
2008
The tiered Aubry set for autonomous Lagrangian functions. Zbl 1152.37025
Arnaud, Marie-Claude
4
2008
Hyperbolic periodic orbits and Mather sets in certain symmetric cases. Zbl 1118.37030
Arnaud, M.-C.
2
2006
Generic symplectic dynamics. Zbl 1084.37017
Arnaud, Marie-Claude; Bonatti, Christian; Crovisier, Sylvain
14
2005
Convergence of the semi-group of Lax-Oleinik: a geometric point of view. Zbl 1181.37018
Arnaud, M. C.
2
2005
Approximation des ensembles \(\omega\)-limites des difféomorphismes par des orbites pério-diques. (Approximation of \(\omega\)-limit sets of diffeomorphisms by periodic orbits). Zbl 1024.37011
Arnaud, Marie-Claude
2
2003
The generic symplectic \(C^1\)-diffeomorphisms of four-dimensional symplectic manifolds are hyperbolic, partially hyperbolic or have a completely elliptic periodic point. Zbl 1030.37037
Arnaud, Marie-Claude
10
2002
Creation of connections in \(C^1\)-topology. Zbl 0997.37007
Arnaud, Marie-Claude
12
2001
Symplectic \(C^1\)-diffeomorphisms of 4-dimensional manifolds. Zbl 0964.37034
Arnaud, Marie-Claude
2
2000
Existence of completely elliptic periodic orbits of symmetric and convex Hamiltonians. Zbl 0943.37029
Arnaud, Marie-Claude
2
1999
The \(C^1\) closing lemma. Zbl 0920.58039
Arnaud, Marie-Claude
15
1998
On the type of certain periodic orbits minimizing the Lagrangian action. Zbl 0901.58013
Arnaud, Marie-Claude
2
1998
An “orbit closing lemma”. Zbl 0867.58040
Arnaud, Marie-Claude
1
1996
Creation of periodic points of all types in the neighbourhood of K.A.M. tori. Zbl 0853.58046
Arnaud, Marie-Claude
2
1995
Type of critical points of Hamiltonian functions and of fixed points of symplectic diffeomorphisms. Zbl 0811.58022
Arnaud, Marie-Claude
1
1994
Types of fixed points of symplectic diffeomorphisms on \(\mathbb{T}^ n\times \mathbb{R}^ n\). Zbl 0758.58009
Arnaud, Marie-Claude
2
1992
Sur les points fixes des difféomorphismes exacts symplectiques de \(T^ n\times R^ n\). (Fixed points of exact symplectic diffeomorphisms of \(T^ n\times R^ n)\). Zbl 0696.57017
Arnaud, Marie-Claude
2
1989
all top 5

Cited by 120 Authors

16 Arnaud, Marie-Claude
6 Crovisier, Sylvain
4 Bessa, Mário
3 Bochi, Jairo
3 Bonatti, Christian
3 Le Calvez, Patrice
3 Qin, Wenxin
3 Wang, Kaizhi
3 Wang, Yanan
3 Yan, Jun
2 Abdenur, Flavio
2 Arbieto, Alexander
2 Arcostanzo, Marc
2 Avila Cordeiro de Melo, Artur
2 Berger, Pierre
2 Bernard, Patrick
2 Bolle, Philippe
2 Catalan, Thiago
2 Contreras, Gonzalo
2 Figalli, Alessio
2 Gorodetski, Anton
2 Kaloshin, Vadim Yu.
2 Lopes Dias, João
2 Oliveira Dos Santos, Joana
2 Rifford, Ludovic
2 Sorrentino, Alfonso
2 Tahzibi, Ali
2 Turaev, Dmitry V.
2 Visscher, Daniel A.
2 Wang, Xiaodong
1 Abbondandolo, Alberto
1 Abreu, Miguel
1 Alishah, Hassan Najafi
1 Amorim, Lino
1 Anosov, Dmitriĭ Viktorovich
1 Azevedo, Assis
1 Azevedo, Davide
1 Bahabadi, Alireza Zamani
1 Bernardi, Olga
1 Berti, Massimiliano
1 Bialy, Misha
1 Butler, Leo T.
1 Buzzi, Jérôme
1 Cardin, Franco
1 Dias Carneiro, Mario Jorge
1 Duarte, Pedro
1 Ferreira, Célia
1 Fisher, Todd L.
1 Florio, Anna
1 Gan, Shaobo
1 Garcia, Fortino
1 Ginzburg, Viktor L’vovich
1 Gourmelon, Nicolas
1 Guihéneuf, Pierre-Antoine
1 Gürel, Basak Zehra
1 Horita, Vanderlei
1 Huang, Guan
1 Katić, Jelena
1 Khanin, Konstantin M.
1 Klempnauer, Stefan
1 Koropecki, Andres
1 Kovaleva, A. M.
1 Labrousse, Clémence
1 Lee, Manseob
1 Leguil, Martin
1 Li, Xinxiang
1 Li, Yong
1 Liu, Qihuai
1 Lomelí, Héctor E.
1 Lopes, Artur Oscar
1 Louati, Hanen
1 Macarini, Leonardo
1 Marco, Jean-Pierre
1 Margaliot, Michael
1 Markarian, Roberto
1 Meiss, James D.
1 Melguizo Padial, M. A.
1 Mengue, Jairo K.
1 Milinković, Darko
1 Nassiri, Meysam
1 Nikolić, Jovana
1 Obata, Davi
1 Oh, Yong-Geun
1 Oliffson Kamphorst, Sylvie
1 Passeggi, Alejandro
1 Pinto de Carvalho, Sônia
1 Polterovich, Leonid Viktorovich
1 Potrie, Rafael
1 Rapoport, Anna
1 Ribeiro, Raquel
1 Ríos-Zertuche, Rodolfo
1 Roberts, Gareth E.
1 Rocha, Alexandre
1 Rocha, Jorge
1 Rodriguez-Hertz, Federico
1 Rodriguez Hertz, Jana
1 Rom-Kedar, Vered
1 Roos, Valentine
1 Rouleux, Michel
1 Saghin, Radu
...and 20 more Authors
all top 5

Cited in 52 Serials

10 Ergodic Theory and Dynamical Systems
6 Communications in Mathematical Physics
5 Discrete and Continuous Dynamical Systems
4 Journal of Differential Equations
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
3 Nonlinearity
3 Transactions of the American Mathematical Society
3 Annals of Mathematics. Second Series
3 Dynamical Systems
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Duke Mathematical Journal
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Journal of Dynamics and Differential Equations
2 Calculus of Variations and Partial Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 Science China. Mathematics
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Mathematical Notes
1 Journal of Geometry and Physics
1 Annales de l’Institut Fourier
1 Automatica
1 Bulletin de la Société Mathématique de France
1 Geometriae Dedicata
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Mathematische Annalen
1 Physica D
1 Revista Matemática Iberoamericana
1 L’Enseignement Mathématique. 2e Série
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Selecta Mathematica. New Series
1 Abstract and Applied Analysis
1 Geometry & Topology
1 Regular and Chaotic Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Differential Equations
1 Advanced Nonlinear Studies
1 Theoretical and Applied Mechanics
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Geometric Mechanics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year

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