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Volumn 134, Issue , 2003, Pages 157-171

On Aubry sets and Mather's action functional

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EID: 0013188870     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02787406     Document Type: Article
Times cited : (36)

References (22)
  • 2
    • 0002180649 scopus 로고
    • Minimal foliations and laminations
    • [Ba95], Zürich, Birkhäuser, Basel
    • [Ba95] V. Bangert, Minimal foliations and laminations, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), Birkhäuser, Basel, 1995, pp. 453-464.
    • (1994) Proceedings of the International Congress of Mathematicians , vol.1-2 , pp. 453-464
    • Bangert, V.1
  • 3
    • 0033449512 scopus 로고    scopus 로고
    • Minimal measures and minimizing closed normal one-currents
    • [Ba99]
    • [Ba99] V. Bangert, Minimal measures and minimizing closed normal one-currents, Geometric and Functional Analysis 9 (1999), 413-427.
    • (1999) Geometric and Functional Analysis , vol.9 , pp. 413-427
    • Bangert, V.1
  • 4
    • 0033413369 scopus 로고    scopus 로고
    • Lagrangian systems on hyperbolic manifolds
    • [BG99]
    • [BG99] P. Boyland and C. Golé, Lagrangian systems on hyperbolic manifolds, Ergodic Theory and Dynamical Systems 19 (1999), 1157-1173.
    • (1999) Ergodic Theory and Dynamical Systems , vol.19 , pp. 1157-1173
    • Boyland, P.1    Golé, C.2
  • 5
    • 0031283708 scopus 로고    scopus 로고
    • On the structure of the stable norm of periodic metrics
    • [BIK97]
    • [BIK97] D. Burago, S. Ivanov and B. Kleiner, On the structure of the stable norm of periodic metrics, Mathematical Research Letters 4 (1997), 791-808.
    • (1997) Mathematical Research Letters , vol.4 , pp. 791-808
    • Burago, D.1    Ivanov, S.2    Kleiner, B.3
  • 6
    • 0001471282 scopus 로고
    • Minimizing measures of the action of autonomous Lagrangians
    • [C95]
    • [C95] M. J. Carneiro, Minimizing measures of the action of autonomous Lagrangians, Nonlinearity 8 (1995), 1077-1085.
    • (1995) Nonlinearity , vol.8 , pp. 1077-1085
    • Carneiro, M.J.1
  • 7
    • 0003196585 scopus 로고
    • Automorphisms of surfaces after nielsen and thurston
    • [CB88], Cambridge University Press, Cambridge-New York
    • [CB88] A. J. Casson and S. A. Bleiler, Automorphisms of Surfaces after Nielsen and Thurston, London Mathematical Society Student Texts, 9, Cambridge University Press, Cambridge-New York, 1988.
    • (1988) London Mathematical Society Student Texts , vol.9
    • Casson, A.J.1    Bleiler, S.A.2
  • 11
    • 0031138612 scopus 로고    scopus 로고
    • Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
    • [Fa97a]
    • [Fa97a] A. Fathi, Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens, Comptes Rendus de l'Académie des Sciences, Paris, Série I 324 (1997), 1043-1046.
    • (1997) Comptes Rendus de l'Académie des Sciences, Paris, Série I , vol.324 , pp. 1043-1046
    • Fathi, A.1
  • 17
    • 0000514824 scopus 로고    scopus 로고
    • Generic properties and problems of minimizing measures of Lagrangian systems
    • [Mn96]
    • [Mn96] R. Mañé, Generic properties and problems of minimizing measures of Lagrangian systems, Nonlinearity 9 (1996), 273-310.
    • (1996) Nonlinearity , vol.9 , pp. 273-310
    • Mañé, R.1
  • 18
    • 27144482772 scopus 로고    scopus 로고
    • Lagrangian flows: The dynamics of globally minimizing orbits - I
    • [Mn97]
    • [Mn97] R. Mañé, Lagrangian flows: the dynamics of globally minimizing orbits - I, Boletim da Sociedade Brasileira de Matemática (N.S.) 28 (1997), 141-155.
    • (1997) Boletim da Sociedade Brasileira de Matemática (N.S.) , vol.28 , pp. 141-155
    • Mañé, R.1
  • 19
    • 0031283633 scopus 로고    scopus 로고
    • Stable norms for surfaces: Local structure of the unit ball at rational directions
    • [Mt97]
    • [Mt97] D. Massart, Stable norms for surfaces: local structure of the unit ball at rational directions, Geometric and Functional Analysis 7 (1997), 996-1010.
    • (1997) Geometric and Functional Analysis , vol.7 , pp. 996-1010
    • Massart, D.1
  • 20
    • 0001997021 scopus 로고
    • Differentiability of the minimal average action as a function of the rotation number
    • [Mr90]
    • [Mr90] J. N. Mather, Differentiability of the minimal average action as a function of the rotation number, Boletim da Sociedade Brasileira de Matemática (N.S.) 21 (1990), 59-70.
    • (1990) Boletim da Sociedade Brasileira de Matemática (N.S.) , vol.21 , pp. 59-70
    • Mather, J.N.1
  • 21
    • 51649154248 scopus 로고
    • Action minimizing invariant measures for positive definite Lagrangian systems
    • [Mr91]
    • [Mr91] J. N. Mather, Action minimizing invariant measures for positive definite Lagrangian systems, Mathematische Zeitschrift 207 (1991), 169-207.
    • (1991) Mathematische Zeitschrift , vol.207 , pp. 169-207
    • Mather, J.N.1
  • 22
    • 0000919869 scopus 로고
    • Variational construction of minimizing orbits
    • [Mr93]
    • [Mr93] J. N. Mather, Variational construction of minimizing orbits, Annales de l'Institut Fourier 43 (1993), 1349-1386.
    • (1993) Annales de l'Institut Fourier , vol.43 , pp. 1349-1386
    • Mather, J.N.1


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