Geodesic
Ergodic Properties of a~Transformation of a~Self-Similar Space with a~Hausdorff Measure
Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 163-173

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

On a space equipped with a Hausdorff measure and possessing the self-similarity property, we prove ergodicity and study the continuity of the transformation generated by the shift transformation on a sequence space.
Keywords: Hausdorff measure, self-similarity, ergodicity
Mots-clés : fractal, chaos. 
@article{MZM_2015_97_2_a0,
     author = {N. S. Arkashov},
     title = {Ergodic {Properties} of {a~Transformation} of {a~Self-Similar} {Space} with {a~Hausdorff} {Measure}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {163--173},
     publisher = {mathdoc},
     volume = {97},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a0/}
}
TY  - JOUR
AU  - N. S. Arkashov
TI  - Ergodic Properties of a~Transformation of a~Self-Similar Space with a~Hausdorff Measure
JO  - Matematičeskie zametki
PY  - 2015
SP  - 163
EP  - 173
VL  - 97
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a0/
LA  - ru
ID  - MZM_2015_97_2_a0
ER  - 
%0 Journal Article
%A N. S. Arkashov
%T Ergodic Properties of a~Transformation of a~Self-Similar Space with a~Hausdorff Measure
%J Matematičeskie zametki
%D 2015
%P 163-173
%V 97
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a0/
%G ru
%F MZM_2015_97_2_a0
N. S. Arkashov. Ergodic Properties of a~Transformation of a~Self-Similar Space with a~Hausdorff Measure. Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 163-173. http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a0/