Oriented local entropies for expansive actions by commuting automorphisms
Chothi, Vijay, Everest, Graham and Ward, Tom (1996) Oriented local entropies for expansive actions by commuting automorphisms. Israel Journal of Mathematics, 93 (1). pp. 281-301. ISSN 0021-2172
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Abstract
Given an expansive action a of Z2 by automorphisms of a compact connected metrizable abelian group X, we show how the entropy of the action may be decomposed into local contributions, h(a) = å p £ ¥ hp(a,b)(a) (1) in which the summand hp(a,b)(a) represents the p-adic entropy due to arithmetic or geometric hyperbolicity in the direction (a,b). We recognize the p-adic contribution as an integral over the p-adic unit circle, in analogy with the global counterpart. As (a,b) changes, the decomposition (1) changes only when the line through (a,b) passes through one of a finite collection of critical directions, which are explicitly identified.
Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | Vishal Gautam |
Date Deposited: | 18 Mar 2011 14:48 |
Last Modified: | 14 Aug 2022 00:49 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/18600 |
DOI: | 10.1007/BF02761107 |
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