@preamble{
   "\def\cprime{$'$} "
}
%%%%%%%%%%%%%%%%%%%%%%%%%%% MATHER %%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article {Mather04,
    AUTHOR = {Mather, John N.},
     TITLE = {Examples of {A}ubry sets},
   JOURNAL = {Ergodic Theory Dynam. Systems},
  FJOURNAL = {Ergodic Theory and Dynamical Systems},
    VOLUME = {24},
      YEAR = {2004},
    NUMBER = {5},
     PAGES = {1667--1723},
      ISSN = {0143-3857},
}

@article {Mather03,
    AUTHOR = {Mather, John N.},
     TITLE = {Total disconnectedness of the quotient {A}ubry set in low
              dimensions},
      NOTE = {Dedicated to the memory of J\"urgen K. Moser},
   JOURNAL = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    VOLUME = {56},
      YEAR = {2003},
    NUMBER = {8},
     PAGES = {1178--1183},
      ISSN = {0010-3640},
     CODEN = {CPAMA},
}

@article {Mather02,
    AUTHOR = {Mather, John N.},
     TITLE = {A property of compact, connected, laminated subsets of
              manifolds},
   JOURNAL = {Ergodic Theory Dynam. Systems},
  FJOURNAL = {Ergodic Theory and Dynamical Systems},
    VOLUME = {22},
      YEAR = {2002},
    NUMBER = {5},
     PAGES = {1507--1520},
      ISSN = {0143-3857},
}

@article {Mather93,
    AUTHOR = {Mather, John N.},
     TITLE = {Variational construction of connecting orbits},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {43},
      YEAR = {1993},
    NUMBER = {5},
     PAGES = {1349--1386},
      ISSN = {0373-0956},
     CODEN = {AIFUA7},
}

@article {Mather91,
    AUTHOR = {Mather, John N.},
     TITLE = {Action minimizing invariant measures for positive definite
              {L}agrangian systems},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {207},
      YEAR = {1991},
    NUMBER = {2},
     PAGES = {169--207},
      ISSN = {0025-5874},
     CODEN = {MAZEAX},
}

%%%%%%%%%%%%%%%%%%%%%% FATHI %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article {FathiSiconolfi,
    AUTHOR = {Fathi, Albert and Siconolfi, Antonio},
     TITLE = {Existence of {$C\sp 1$} critical subsolutions of the
              {H}amilton-{J}acobi equation},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {155},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {363--388},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
}


@unpublished {Fathibook,
    AUTHOR = {Fathi, Albert},
     TITLE = {Weak {K}{A}{M} theorem and {L}agrangian dynamics},
      NOTE = {Cambridge Univ. Press (To appear)},
   }


@unpublished {Fathisem,
    AUTHOR = {Fathi, Albert},
     TITLE = {{S}ard, {W}hitney, {A}ssouad and {M}ather},
	NOTE = {Talk at {\it Recent and Future developments in Hamiltonian Systems},
               Institut Henri Poincar\'e, Paris (France), May 2005},
   }

%%%%%%%%%%%%%%%%%%%%%%% MANE'S SCHOOL %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@book {ContrerasIturriaga,
    AUTHOR = {Contreras, Gonzalo and Iturriaga, Renato},
     TITLE = {Global minimizers of autonomous {L}agrangians},
    SERIES = {22$\sp {\rm o}$ Col\'oquio Brasileiro de Matem\'atica. [22nd
              Brazilian Mathematics Colloquium]},
 PUBLISHER = {Instituto de Matem\'atica Pura e Aplicada (IMPA), Rio de
              Janeiro},
      YEAR = {1999},
     PAGES = {148},
      ISBN = {85-244-0151-6},
}

@article {ManeII,
    AUTHOR = {Contreras, Gonzalo and Delgado, Jorge and Iturriaga, Renato},
     TITLE = {Lagrangian flows: the dynamics of globally minimizing orbits.
              {II}},
   JOURNAL = {Bol. Soc. Brasil. Mat. (N.S.)},
  FJOURNAL = {Boletim da Sociedade Brasileira de Matem\'atica. Nova S\'erie},
    VOLUME = {28},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {155--196},
}

@article {ManeI,
    AUTHOR = {Ma{\~n}{\'e}, Ricardo},
     TITLE = {Lagrangian flows: the dynamics of globally minimizing orbits},
   JOURNAL = {Bol. Soc. Brasil. Mat. (N.S.)},
  FJOURNAL = {Boletim da Sociedade Brasileira de Matem\'atica. Nova S\'erie},
    VOLUME = {28},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {141--153},
}

%%%%%%%%%%%%%%%%%%%%% SARD'S THM, WHITHNEY'S THM AND RELATED REFERENCES %%%%%
@book {Abraham,
    AUTHOR = {Abraham, Ralph and Robbin, Joel},
     TITLE = {Transversal mappings and flows},
    SERIES = {An appendix by Al Kelley},
 PUBLISHER = {W. A. Benjamin, Inc., New York-Amsterdam},
      YEAR = {1967},
     PAGES = {x+161},
}

@article {Whitney,
    AUTHOR = {Whitney, Hassler},
     TITLE = {Analytic extensions of differentiable functions defined in
              closed sets},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {36},
      YEAR = {1934},
    NUMBER = {1},
     PAGES = {63--89},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article {Piotr,
   AUTHOR = {Hajlasz, Piotr},
   TITLE = {Whitney's example by way of {A}ssouad's embedding},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
   VOLUME = {131},
    YEAR = {2003},
    NUMBER = {11},
     PAGES = {3463--3467 (electronic)},
      ISSN = {0002-9939},
     CODEN = {PAMYAR},
}

@article {Assouad,
    AUTHOR = {Assouad, Patrice},
     TITLE = {Plongements lipschitziens dans {${\bf R}\sp{n}$}},
   JOURNAL = {Bull. Soc. Math. France},
  FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
    VOLUME = {111},
      YEAR = {1983},
    NUMBER = {4},
     PAGES = {429--448},
      ISSN = {0037-9484},
     CODEN = {BSMFAA},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@incollection {Bangert,
    AUTHOR = {Bangert, Victor},
     TITLE = {Mather sets for twist maps and geodesics on tori},
 BOOKTITLE = {Dynamics reported, Vol.\ 1},
    SERIES = {Dynam. Report. Ser. Dynam. Systems Appl.},
    VOLUME = {1},
     PAGES = {1--56},
 PUBLISHER = {Wiley},
   ADDRESS = {Chichester},
      YEAR = {1988},
}

@unpublished {Bernard,
   AUTHOR = {Bernard, Patrick},
   TITLE = {Existence of ${C}^{1,1}$ critical sub-solutions of the {H}amilton-{J}acobi equation on compact manifolds},
   NOTE = {(To appear on {\it Ann. Sci. \'Ecole Norm. Sup. (4)})},
}

@incollection {Forni-Mather,
    AUTHOR = {Forni, Giovanni and Mather, John N.},
     TITLE = {Action minimizing orbits in {H}amiltonian systems},
 BOOKTITLE = {Transition to chaos in classical and quantum mechanics
              (Montecatini Terme, 1991)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1589},
     PAGES = {92--186},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1994},
}


@article {Burago,
     AUTHOR = {Burago, D. and Ivanov, S. and Kleiner, B.},
     TITLE = {On the structure of the stable norm of periodic metrics},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {4},
      YEAR = {1997},
    NUMBER = {6},
     PAGES = {791--808},
      ISSN = {1073-2780},
}

@article {Bates,
    AUTHOR = {Bates, Sean M.},
     TITLE = {Toward a precise smoothness hypothesis in {S}ard's theorem},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {117},
      YEAR = {1993},
    NUMBER = {1},
     PAGES = {279--283},
      ISSN = {0002-9939},
}