- 96-253 H. Koch, R. de la Llave, C. Radin
- Aubry-Mather theory for functions on lattices.
(66K, Plain TeX)
Jun 10, 96
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Abstract. We generalize the Aubry-Mather theorem
on the existence of quasi-periodic
solutions of one dimensional
to situations in which the
independent variable ranges
over more complicated lattices.
This is a natural generalization
of Frenkel-Kontorovna models to
physical situations in a
higher dimensional space.
We also consider generalizations
in which the interactions among the
particles are not just nearest neighbor,
and indeed do not have