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Global Minimizers of Autonomous Lagrangians - Cimat
Autonomous Lagrangians. Gonzalo Contreras. Renato Iturriaga .... An ( autonomous) Lagrangian on M is a smooth function L : TM → R satisfying the ... 1 . introduction. Then g has a minimum in zero and lim ε→0 g(ε) − g(0) ε. = lim ε→0 ∫ T. 0.
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Global Minimizers of Autonomous Lagrangians
Autonomous Lagrangians. Gonzalo Contreras. Renato Iturriaga .... An ( autonomous) Lagrangian on M is a smooth function L : TM → R satisfying the ... 1 . introduction. Then g has a minimum in zero and lim ε→0 g(ε) − g(0) ε. = lim ε→0 ∫ T. 0.
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Effective Hamiltonians and quantum states - Department of
H : Rn → R, as introduced by Lions–Papanicolaou–Varadhan ..... G. Contreras and R. Iturriaga, Global minimizers of autonomous Lagrangians, Lecture notes.
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LAGRANGIAN GRAPHS, MINIMIZING MEASURES AND MA˜NÉ'S
G. Contreras, R. Iturriaga, G.P. Paternain and M. Paternain ... ifold N. We consider critical values of Lagrangians as defined by. R. Ma˜né in ... is given by those orbits or invariant measures that satisfy some global vari- ... For autonomous systems, like the ones we ... Tonelli minimizers with fixed energy between two points.
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Periodic orbits of Lagrangian systems with prescribed action or period
Jan 26, 2016 ... is, there exists R > 0 such that for each x ∈ M and |v|x > R, L(x, v) has the form. L( x, v) = 1 ..... By Remarks 4 and 8 we have g (b) < 0 for b < ¯b. .... Gonzalo Contreras and Renato Iturriaga, Global minimizers of autonomous La-.
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Geometry of Arnold Diffusion - Department of Mathematics
with a Hamiltonian H : R2n → R, is said to be completely integrable if it possesses n ...... G. Contreras and R. Iturriaga, Global Minimizers of Autonomous ... A. Fathi, The Weak KAM Theorem in Lagrangian Dynamics, Cambridge Stud.
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Variational Construction of Diffusion Orbits for Positive Definite
All solutions of the Lagrangian equation are well defined for all t ∈ R. Given a ... of global instability in Hamiltonian systems convex in action (slow) variables. .... terest for autonomous systems, as c is equivalent to c if and only if c and c .... the minimizer. ..... [26] Contreras G., Delgado J. and Iturriaga R., Lagrangian flows: the ...
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PERIODIC ORBITS FOR EXACT MAGNETIC FLOWS ON
The magnetic flow of the pair (g,Ω) is the Hamiltonian flow of E with respect ...... [6 ] G. Contreras, R. Iturriaga, Global minimizers of autonomous Lagrangians 22st.
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BIRKHOFF FIRST THEOREM FOR LAGRANGIAN, INVARIANT TORI
Geodesic flow, Birkhoff Theorems, global minimizers, Lagrangian graph. ...... [16] Contreras, G., Iturriaga, R.: Global minimizers of autonomous Lagrangians.
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MATHER THEORY, WEAK KAM, AND VISCOSITY - Caltech
1. Motivation. Consider a C2 smooth Hamiltonian H : Tn × Rn → R, where Tn is the ..... G. Contreras, R. Iturriaga, Global minimizers of autonomous Lagrangians.
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PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
Barles, G.: Solutions de viscosité des équations de Hamilton-Jacobi. Springer ... Contreras, G., Iturriaga, R.: Global minimizers of autonomous Lagrangians.
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Periodic orbits of weakly exact magnetic flows - Hikari
[2] G. Contreras, R. Iturriaga. Global minimizers of autonomous lagrangians. 22 Col. Brasileiro de Mat., IMPA, (1999). [3] U. F. Schlenk, applications of Hofer's ...
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MINIMAL MEASURES, ONE-DIMENSIONAL CURRENTS AND THE
(M,g) will be a compact Riemannian manifold without boundary, L : TM → R ...... [ 13] G. Contreras, R. Iturriaga, Global minimizers of autonomous Lagrangians.
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arXiv:math/0608432v1 [math.DS] 16 Aug 2006 - arXiv.org
Feb 2, 2008 ... this paper, fixing the Lagrangian L(x, v) = v2 x/2 obtained ...... [5] G. Contreras, R. Iturriaga, Global minimizers of autonomous La- grangians, 22◦ ...
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Full Text (PDF format) - International Press
and that the topological entropy presents a strict global maximum at λ = 0 when restricted to ..... Since L is autonomous, E is a first integral of the flow φt. ..... since η is a minimizer in the class −σ; in fact it follows that η = −γ. Therefore ..... G. Contreras, J. Delgado, and R. Iturriaga, Lagrangian flows: The dynamics of globally.
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On separating sub-actions
Jun 30, 2007 ... tion is a remark due to R. Ma˜né for Lagrangian systems. ...... [6] G. Contreras, R. Iturriaga, Global minimizers of autonomous Lagrangians, 22◦.
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Weak KAM methods and ergodic optimal problems for - Unicamp
Hölder continuous potential A : Σ → R. Under certain conditions, we are ...... [2] G. Contreras and R. Iturriaga, Global minimizers of autonomous Lagrangians, 22◦ ...
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Scheda del corso
[3] G. Barles, Solutions de viscosit`e des équations de Hamilton–Jacobi. ... [5] G. Contreras, R. Iturriaga, Global Minimizers of Autonomous Lagrangians.
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PHYSICAL SOLUTIONS OF THE HAMILTON-JACOBI EQUATION 1
has solutions φ : Td −→ R. The constant is called “Ma˜né's critical value” ([21], [22 ], [9]) ... F reaches its global maximum at a finite number of points (xi)1≤i≤m, and the ... maxima. In the non-autonomous case they are solutions of the “fi- ...... [4] G. Contreras, J. Delgado, R. Iturriaga, Lagrangian flows: the dynamics of globally ...
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anuario cimat 1999 - Consejo Nacional de Ciencia y Tecnología
Guanajuato, 1999, México, 127 pp. • Contreras, G. and Iturriaga, R.: Global. Minimizers of Autonomous Lagrangians,. Sociedad Matemática Brasileña, IMPA,.
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Functions for relative maximization - Taylor & Francis Online
In that article, for the Lagrangian Lًx, vق¼kvk2 .... For A 2 C0ًXق, we define the beta function A, ' : 'أًMTق ! R by. A, 'ًhق ¼ sup. ً. A d : 2 'ہ1. أ ًhق. & ...... [2] Contreras, G. and Iturriaga, R., 1999, Global minimizers of autonomous Lagrangians, 22.
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