Geodesic
Invariant measures of one-dimensional dynamical systems of anharmonic oscillators
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 261-271 
O. G. Martirosyan. Invariant measures of one-dimensional dynamical systems of anharmonic oscillators. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 261-271. http://geodesic.mathdoc.fr/item/TMF_1988_76_2_a8/
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     title = {Invariant measures of one-dimensional dynamical systems of anharmonic oscillators},
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     pages = {261--271},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_2_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The description of invariant measures for a dynamical system generated by an infinite chain of equations of motion of anharmonic oscillators is investigated. It is shown that in the class of Gibbs measures corresponding to Hamiltonians $h=\{h_\Lambda, \Lambda\subset{\mathbf Z}^1\}$ of “general” form the set of invariant measures is exhausted by the equilibrium Gibbs distributions, i.e., by the Gibbs measures corresponding to the total energy interval.

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