Geodesic
Geometrically induced long-range orientational order in a solid
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 471-476 
I. Yu. Faktorovich. Geometrically induced long-range orientational order in a solid. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 471-476. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a15/
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     author = {I. Yu. Faktorovich},
     title = {Geometrically induced long-range orientational order in a~solid},
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     pages = {471--476},
     year = {1988},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a15/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A stochastic model of a solid that, through the action of random factors, has lost translational order but preserves the topological structure of short-range interatomic bonds characteristic of a crystal is studied. It is shown that in such a body there must be a long-range orientational order. To this end, a multidimensional analog of the ergodic theorem for a regular lattice subject to random deformation with spatially homogeneous distribution is proved.

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