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Stat. Phys. 118 (2005), no. 3-4, 687–719. ; de la Llave, R. – On the Aubry-Mather theory in statistical mechanics, Comm. Math. Phys. 192 (1998), no. 3, 649–669. [DG79] De Giorgi, E. – Convergence problems for functionals and operators, Proceedings of the International Meeting on Recent Methods in Nonlinear Analysis (Rome, 1978), 131–188, Pitagora, Bologna, 1979. P. – Topology of quasiperiodic functions on the plane, Russ. Math. Surv. 60 (2005), no. 1, 1–26. [FS74] Folland, G. ; Stein, E. M. – Estimates for the ∂¯b complex and analysis on the Heisenberg group, Comm.

GP58] Ginzburg, V. ; Pitaevski˘ı, L. P. – On the theory of superfluidity, Soviet Physics. JETP 34/7 (1958), 858–861. [G84] Giusti, E. – Minimal surfaces and functions of bounded variation, Monographs in Mathematics, 80. , 1984. [G03] Giusti, E. , River Edge, NJ, 2003. viii+403 pp. [G85] Gurtin, M. E. – On a theory of phase transitions with interfacial energy, Arch. Rational Mech. Anal. 87 (1985), no. 3, 187–212. [H32] Hedlund, G. A. – Geodesics on a two-dimensional Riemannian manifold with periodic coefficients, Ann.

K = 0 , u(ξ) ≥ 1 − δ for ξ · (ω, 0) ≥ M |ω| , u(ξ) ≤ −1 + δ for ξ · (ω, 0) ≤ −M |ω| . 7). Note that YM M Given v ∈ R2n+1 and S ⊂ Hn , we define Tv S := {(−v) ◦ ξ , ξ ∈ S} . We also use the following notation. Given ℓ ∈ Z2n with ω · ℓ = 0, we write ℓj k j . 39) Sωp := T(0,2mΘ) T(ℓ,0) Sω . ℓ2n−1 ≤p−1 0≤m≤p−1 34 ISABEAU BIRINDELLI AND ENRICO VALDINOCI Of course, Sω1 = Sω . 40) T(0,2mΘ) T(ℓ,0) Sω = (z, t − 2mΘ + ζℓ(z)) , z ∈ Hωℓ , t ∈ [−Θ, Θ) , with Hωℓ := z ∈ Hn | z + ℓ ∈ H ω and ζℓ (z) := ζ(z + ℓ) − 2 Im (ℓz) .

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