22 citations · 50 across the 17 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math-ph2011★ 2 cited
KAM theory for quasi-periodic equilibria in 1-D quasiperiodic media
Xifeng Su, Rafael de la Llave
We consider Frenkel-Kontorova models corresponding to 1 dimensional quasicrystals. We present a KAM theory for quasi-periodic equilibria. The theorem presented has an \emph{a-poste…
math-ph2011
Percival Lagrangian approach to Aubry-Mather theory
Xifeng SU, Rafael de la Llave
We present some streamlined proofs of some of the basic results in Aubry-Mather theory (existence of quasi-periodic minimizers, multiplicity results when there are gaps among minim…
math.DS2011★ 2 cited
Fast iteration of cocyles over rotations and Computation of hyperbolic bundles
Gemma Huguet, Rafael de la Llave, Yannick Sire
In this paper, we develop numerical algorithms that use small requirements of storage and operations for the computation of hyperbolic cocycles over a rotation. We present fast alg…