Hausdorff dimension of the set of generic points for Gibbs measures

B. M. Gurevich, Arkady Tempelman

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)225-227
Number of pages3
JournalFunctional Analysis and Its Applications
Volume36
Issue number3
DOIs
StatePublished - Dec 1 2002

Fingerprint

Gibbs Measure
Hausdorff Dimension
Configuration Space
Entropy
Ergodic Averages
Lattice System
Spin Systems
Level Set
Continuous Function
Evaluate

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Gurevich, B. M. ; Tempelman, Arkady. / Hausdorff dimension of the set of generic points for Gibbs measures. In: Functional Analysis and Its Applications. 2002 ; Vol. 36, No. 3. pp. 225-227.
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Hausdorff dimension of the set of generic points for Gibbs measures. / Gurevich, B. M.; Tempelman, Arkady.

In: Functional Analysis and Its Applications, Vol. 36, No. 3, 01.12.2002, p. 225-227.

Research output: Contribution to journalArticle

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