Geodesic
Ground states in a~model of Frenkel--Kontorova type
Izvestiya. Mathematics , Tome 29 (1987) no. 2, pp. 323-354.

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The structure of configurations of particles with hard cores having minimal energy is studied in models of Frenkel–Kontorova type under the condition that the interaction potential rapidly decreases at infinity. Bibliography: 5 titles. 
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A. Ya. Zaslavskii. Ground states in a~model of Frenkel--Kontorova type. Izvestiya. Mathematics , Tome 29 (1987) no. 2, pp. 323-354. http://geodesic.mathdoc.fr/item/IM2_1987_29_2_a3/

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[2] Greene J., “A method for determining a stochastic transition”, Math. Phys., 20:6 (1979), 1183–1201 | DOI

[3] Percival J. C., “Regular and irregular spectra”, Phys. D.: Atom and Mol. Phys., 6:9 (1976), 1229–1232

[4] Pokrovsky V. L., “Splitting of commensurate-incommensurate phase transition”, Physique, 42:6 (1981), 761–766 | DOI | MR

[5] Aubry S., “Defectibility and frustration in incommensurate structures. The devil's staircase transformation”, Ferroelectrics, 24:1 (1980), 53–60 | DOI | MR