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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 76, Number 2, Pages 261–271
(Mi tmf5062)
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This article is cited in 1 scientific paper (total in 1 paper)
Invariant measures of one-dimensional dynamical systems of anharmonic oscillators
O. G. Martirosyan
Abstract:
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.
Received: 29.09.1987
Citation:
O. G. Martirosyan, “Invariant measures of one-dimensional dynamical systems of anharmonic oscillators”, TMF, 76:2 (1988), 261–271; Theoret. and Math. Phys., 76:2 (1988), 848–855
Linking options:
https://www.mathnet.ru/eng/tmf5062 https://www.mathnet.ru/eng/tmf/v76/i2/p261
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