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This article is cited in 4 scientific papers (total in 4 papers)
Brief communications
Hausdorff Dimension of the Set of Generic Points for Gibbs Measures
B. M. Gurevicha, A. A. Tempel'manb a M. V. Lomonosov Moscow State University
b Pennsylvania State University
Abstract:
For a Gibbs measure on the configuration space of a finite spin lattice system, we find (in terms of entropy) the Hausdorff dimension of the set of generic points. Using this result, we evaluate the Hausdorff dimension of level sets for Birkhoff ergodic averages of some continuous functions on the configuration space.
Keywords:
Hausdorff dimension, Gibbs measures, ergodic averages, entropy.
Received: 07.08.2001
Citation:
B. M. Gurevich, A. A. Tempel'man, “Hausdorff Dimension of the Set of Generic Points for Gibbs Measures”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 68–71; Funct. Anal. Appl., 36:3 (2002), 225–227
Linking options:
https://www.mathnet.ru/eng/faa207https://doi.org/10.4213/faa207 https://www.mathnet.ru/eng/faa/v36/i3/p68
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