Research Articles.

Books.

Expository Articles.

Research Articles

1. Minimizing Measures for time dependent Lagrangians
   Prooceedings Of the London Mathematical Society, Vol 73 Part 1 July 1996.
   Abstract Math Review available.

2. Lagrangian Flows: The Dynamics of Globally Minimizing Orbits II.
   with Gonzalo Contreras & Jorge Delgado
   "Bulletin of the Brazilian Mathematical Society" Vol 28 No 2, 1997.
   Abstract , Math Review available.

3. On the creation of conjugate points for Hamiltonian Systems
   with Gonzalo Contreras and Hector Sanchez Morgado
   Nonlinearity 11 (1998).
   Abstract , Math Review available.

4. Lagrangian Graphs, Minimizing Measures and Mañé's Critical Values
   with Gonzalo Contreras, Gabriel Paternain and Miguel Paternain
   GAFA Geometric and Functional Analysis Vol 8 1998 .
   Abstract , Math Review available.

5. Convex Hamiltonians without conjugate points
   with Gonzalo Contreras
   Ergodic Theory & Dynamical Systems (1999) 19 , 901-952.
   Abstract , Math Review available.

6. Average Linking Numbers
   With Gonzalo Contreras
   Ergodic Theory & Dynamical Systems(1999) 19 , 1425-1436.
   Abstract , Math Review available.

7. Finsler Metrics and Action Potentials
   with Hector Sanchez Morgado
   Proc American Mathematical Society 128 11 2000 3311-3316.
   Abstract , Math Review

8. The Palais Smale condition and Mañé's Critical Values
   with Gonzalo Contreras, Gabriel Paternain and Miguel Paternain
   An. Henri Poincare. Vol 1 (4 ) 2000 655-684
   Abstract , Math Review available.

9. A Minimax Selector for a Class of Hamiltonians on a Cotangent Bundle
   with Hector Sanchez Morgado
   International Journal of Mathematics Vol 11 (9) 2000 1147-1162 .
   Abstract , Math Review available.

10. A Geometric proof of the existence of the Green Bundles
    Proc. American Mathematical Society. 130 (2002), 2311-2312.
    Abstract , available.

11. Topological Shocks in Burgers Turbulence
    with J. Bec, and K. Khanin
    Physical Review Letters Published 19 June 2002 024501
    Abstract , available.

12. The Asymtotic Maslov index and its Applications
    with Gonzalo Contreras, Jean Marc Gambaudo and Gabriel Paternain
    Preprint submited.
    Abstract , dvi file available.

13. Weak solutions of the Hamilton Jacobi equation for periodic Lagrangians
    with Gonzalo Contreras and Hector Sanchez Morgado
    Preprint submited.
    Abstract , dvi file available.

14. Burgers Turbulence and Random Lagrangian Systems
    with Konstantin Khanin.
    Preprint submited.
    Abstract , dvi file available.

Books

1. IV Escuela de Verano de Geometria y Sistemas Dinamicos
   Memorias CIMAT 1997
   Renato Iturriga Omegar Calvo (Editores)
   Aportaciones Matematicas Comunicaciones 21

   Math Review available.

2. Global Minimizers of Autonomous Lagrangians.
   With Gonzalo Contreras. To appear as notes of the "22 Colloqio Brasileiro de Matematica".
   Index and the whole book available. Postscript uncompresed files. Look for the compresed and latex files on Gonzalo's page. Math Review

Expository Articles

1. Una cara de los sistemas Lagrangianos
   Articulo de difusion en IV Escuela de Verano de Geometria y Sistemas Dinamicos Memorias CIMAT 1997 Renato Iturriaga Omegar Calvo (Editores) Aportaciones Matematicas Comunicaciones 21 Math Review available

   .

2. Burgers Turbulence and dynamical systems
   with Konstantin Khanin.
   Proc. European Congress of Mathematics 2000 Progress in Mathematics 2001 Birkhauser