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https://doi.org/10.1023/a:1020106306834
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Cite Publication Date: Jan 1, 2002 | |
 Citations: 2 |
Affiliation: Lomonosov Moscow State University
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.
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