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
Faculty \ School:	Faculty of Science > School of Mathematics
Related URLs:	http://www.ams.org/mathscinet-getitem?mr... http://www.zentralblatt-math.org/zmath/e... http://www.ma.huji.ac.il/~ijmath/ http://dx.doi.org/10.1007/BF02761107
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	21 Apr 2020 21:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/18600
DOI:	10.1007/BF02761107

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