Miles, R. and Ward, T. (2006) 'Periodic point data detects subdynamics in entropy rank one.', Ergodic theory and dynamical systems., 26 (6). pp. 1913-1930.
A framework for understanding the geometry of continuous actions of Z^d was developed by Boyle and Lind using the notion of expansive behaviour along lower-dimensional subspaces. For algebraic Zd-actions of entropy rank one, the expansive subdynamics are readily described in terms of Lyapunov exponents. Here we show that periodic point counts for elements of an entropy rank-one action determine the expansive subdynamics. Moreover, the finer structure of the non-expansive set is visible in the topological and smooth structure of a set of functions associated to the periodic point data.
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|Publisher Web site:||http://dx.doi.org/10.1017/S014338570600054X|
|Publisher statement:||© Copyright Cambridge University Press 2006. This paper has been published in a revised form subsequent to editorial input by Cambridge University Press in "Ergodic theory and dynamical systems" (26: 6 (2006) 1913-1930) http://journals.cambridge.org/action/displayJournal?jid=ETS|
|Record Created:||12 Oct 2012 10:50|
|Last Modified:||25 Oct 2012 12:04|
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