The Asymptotic Maslov Index And Its Applications (2007)
Gonzalo Contreras, Jean-Marc Gambaudo, Renato Iturriaga, Gabriel P. Paternain
. Let N be a 2n-dimensional manifold equipped with a symplectic structure ! and (N ) be the Lagrangian Grassmann bundle over N . Consider a ow t on N that preserves the symplectic structure and a t...
Lagrangian Graphs, Minimizing Measures And Mañé's Critical Values (2007)
Gonzalo Contreras, Renato Iturriaga, Miguel Paternain
. Let L be a convex superlinear Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as defined by R. Ma~n'e in [17]. We show that the critical value of the...
Lagrangian Graphs, Minimizing Measures And Mañé's Critical Values (2007)
Gonzalo Contreras, Renato Iturriaga, MIGUEL PATERNAIN
. Let L be a convex superlinear Lagrangian on a closed connected manifold M . We consider critical values of Lagrangians as defined by R. Ma~n'e in [13]. We show that the critical value of the...
Lagrangian Graphs, Minimizing Measures And Ma ~ N ' E's Critical Values (2007)
Gonzalo Contreras, Renato Iturriaga, Gabriel P. Paternain
. Let L be a convex superlinear Lagrangian on a closed connected manifold M . We consider critical values of Lagrangians as defined by R. Ma~n'e in [13]. We show that the critical value of the...
On The Creation Of Conjugate Points For Hamiltonian Systems (2007)
Gonzalo Contreras, Renato Iturriaga
. For a fixed Hamiltonian H on the cotangent bundle of a compact manifold M and a fixed energy level e, we prove that the set A e of potentials OE on M such that the Hamiltonian flow of H+ OE is...
LAGRANGIAN GRAPHS, MINIMIZING MEASURES AND MA N E'S CRITICAL VALUES (2007)
Gonzalo Contreras, Renato Iturriaga, Gabriel P. Paternain
Abstract. Let L be a convex superlinear Lagrangian on a closed connected manifold M. We consider critical values of Lagrangians as defined by R. Ma~n'e in [13]. We show that the critical value...
THE IMPLEMENTATION OF FORMULA ALGOL IN FSL, (2005)
Iturriaga, Renato, Standish, Tim, Krutar, Rudy, Earley, Jay
How FSL was used to implement Formula Algol as it existed in October, 1965 is described. Some changes have been made in Formula Algol since that date, and consequently, an exact description of the...
A PRELIMINARY SKETCH OF FORMULA ALGOL. (2005)
Perlis,Alan J., Iturriaga,Renato, Standish,Thomas
In earlier years algebraic languages, list processing languages and string manipulating languages have existed separately from one another. Recently, formula manipulating languages have evolved, and,...
Viscosity limit of stationary distributions for the random forced Burgers equation (2005)
Diogo Gomes, Renato Iturriaga, Konstantin Khanin
Abstract. We prove convergence of stationary distributions for the randomly forced Burgers and Hamilton-Jacobi equations in the limit when viscosity tends to zero. It turns out that for all values of...
Viscosity limit of stationary distributions for the random forced Burgers equation (2005)
Diogo Gomes, Renato Iturriaga, Konstantin Khanin Pablo
Abstract. We prove convergence of stationary distributions for the randomly forced Burgers and Hamilton-Jacobi equations in a limit when viscosity tends to zero. It turns out that for all values of...
The Palais-Smale Condition And Mañé's Critical Values (1999)
Gonzalo Contreras, Renato Iturriaga, Miguel Paternain, Miguel Paternain
. Let L be a convex superlinear autonomous Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as dened by R. Ma~ne in [23]. We dene energy levels satisfying the...
The Palais-Smale Condition And Mañé's Critical Values (1999)
Gonzalo Contreras, Renato Iturriaga, Miguel Paternain
. Let L be a convex superlinear autonomous Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as dened by R. Ma~ne in [21]. We dene energy levels satisfying the...
A DEFINITION OF FORMULA ALGOL. (1998)
Perlis, Alan J., Iturriaga,Renato, Standish,Thomas S.
Formula Algol is an extension to ALGOL 60 incorporating formula manipulation and list processing. This paper defines a current version of the Formula Algol language which is implemented on the CDC...
Convex Hamiltonians without Conjugate Points
Gonzalo Contreras, Renato Iturriaga
this paper are disconjugate orbits of the Hamiltonian flow, i.e. orbits without conjugate points. Let ß : T