An entropy for $ℤ^2$ -actions with finite entropy generators
Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 209-220
We study a definition of entropy for $ℤ^+ × ℤ^+$-actions (or $ℤ^2$-actions) due to S. Friedland. Unlike the more traditional definition, this is better suited for actions whose generators have finite entropy as single transformations. We compute its value in several examples. In particular, we settle a conjecture of Friedland [2].
@article{10_4064_fm_157_2_3_209_220,
author = {W. Geller and M. Pollicott},
title = {An entropy for $\ensuremath{\mathbb{Z}}^2$ -actions with finite entropy generators},
journal = {Fundamenta Mathematicae},
pages = {209--220},
year = {1998},
volume = {157},
number = {2},
doi = {10.4064/fm-157-2-3-209-220},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-157-2-3-209-220/}
}
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W. Geller; M. Pollicott. An entropy for $ℤ^2$ -actions with finite entropy generators. Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 209-220. doi: 10.4064/fm-157-2-3-209-220
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