|
Teoriya Veroyatnostei i ee Primeneniya, 1959, Volume 4, Issue 3, Pages 249–254
(Mi tvp4888)
|
|
|
|
This article is cited in 9 scientific papers (total in 9 papers)
The Entropy of an Automorphism of a Solenoidal Group
L. M. Abramov Kolomna
Abstract:
Let us denote by $X$ a group of characters for the subgroup $R$ of an additive group of rational numbers and by $T$ its automorphism adjoint to the automorphism of the group $R$, which is given by multiplying by the irreducible fraction ${m/n}$. In this paper it is proved that the entropy of such an automorphism equals $\log(\max\{|m|,n\})$.
Received: 09.03.1959
Citation:
L. M. Abramov, “The Entropy of an Automorphism of a Solenoidal Group”, Teor. Veroyatnost. i Primenen., 4:3 (1959), 249–254; Theory Probab. Appl., 4:3 (1959), 231–236
Linking options:
https://www.mathnet.ru/eng/tvp4888 https://www.mathnet.ru/eng/tvp/v4/i3/p249
|
Statistics & downloads: |
Abstract page: | 170 | Full-text PDF : | 82 |
|