A Breiman Type Theorem for Gibbs Measures (original) (raw)

Abstract

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This paper presents a refined version of Breiman's theorem specifically related to Gibbs measures and their potentials. The authors extend existing results by demonstrating the existence of a limit for a defined sequence under certain conditions and establish its implications for generic configurations. This refinement has important applications in evaluating the Hausdorff dimension of fractal sets.

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References (8)

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