On a Scaling Entropy Sequence of a Dynamical System
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 70-74

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

We present a series of statements about scaling entropy, a metric invariant of dynamical systems proposed by A. M. Vershik in the late 1990s. We show that this is indeed a metric invariant and calculate it in several special cases.
Keywords: metric invariants, entropy, scaling sequence, $\varepsilon$-entropy.
@article{FAA_2014_48_4_a6,
     author = {P. B. Zatitskii},
     title = {On a {Scaling} {Entropy} {Sequence} of a {Dynamical} {System}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {70--74},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a6/}
}
TY  - JOUR
AU  - P. B. Zatitskii
TI  - On a Scaling Entropy Sequence of a Dynamical System
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2014
SP  - 70
EP  - 74
VL  - 48
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a6/
LA  - ru
ID  - FAA_2014_48_4_a6
ER  - 
%0 Journal Article
%A P. B. Zatitskii
%T On a Scaling Entropy Sequence of a Dynamical System
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2014
%P 70-74
%V 48
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a6/
%G ru
%F FAA_2014_48_4_a6
P. B. Zatitskii. On a Scaling Entropy Sequence of a Dynamical System. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 70-74. http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a6/