Geodesic
Hausdorff Dimension of the Set of Generic Points for Gibbs Measures
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 3, pp. 68-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : Hausdorff dimension
Keywords: Gibbs measures, ergodic averages, entropy. 
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B. M. Gurevich; A. A. Tempel'man. Hausdorff Dimension of the Set of Generic Points for Gibbs Measures. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 3, pp. 68-71. http://geodesic.mathdoc.fr/item/FAA_2002_36_3_a8/

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