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Flatness is a criterion for selection of maximizing measures - MaRDI portal

Flatness is a criterion for selection of maximizing measures (Q438768)

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scientific article; zbMATH DE number 6062501
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Flatness is a criterion for selection of maximizing measures
scientific article; zbMATH DE number 6062501

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    Flatness is a criterion for selection of maximizing measures (English)
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    31 July 2012
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    The author considers a specific example of one-dimensional spin systems for which he analyzes the zero-temperature limit. It is shown that the Gibbs measure at temperature \(T\) converges as the \(T\) goes to zero to a entropy maximizing measure (ground-state) which is concentrated on the two flattest minima of the potential.
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    ergodic optimization
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    maximizing measure
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    selection
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    zero temperature
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    ground states
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    one-dimensional lattice system
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