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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FAA_2002_36_3_a8,
     author = {B. M. Gurevich and A. A. Tempel'man},
     title = {Hausdorff {Dimension} of the {Set} of {Generic} {Points} for {Gibbs} {Measures}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {68--71},
     publisher = {mathdoc},
     volume = {36},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_3_a8/}
}
TY  - JOUR
AU  - B. M. Gurevich
AU  - A. A. Tempel'man
TI  - Hausdorff Dimension of the Set of Generic Points for Gibbs Measures
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2002
SP  - 68
EP  - 71
VL  - 36
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2002_36_3_a8/
LA  - ru
ID  - FAA_2002_36_3_a8
ER  - 
%0 Journal Article
%A B. M. Gurevich
%A A. A. Tempel'man
%T Hausdorff Dimension of the Set of Generic Points for Gibbs Measures
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2002
%P 68-71
%V 36
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2002_36_3_a8/
%G ru
%F FAA_2002_36_3_a8
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/