Periodic point data detects subdynamics in entropy rank one
Miles, R.; Ward, T.
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.
Miles, R., & Ward, T. (2006). Periodic point data detects subdynamics in entropy rank one. Ergodic Theory and Dynamical Systems, 26(6), 1913-1930. https://doi.org/10.1017/s014338570600054x
|Journal Article Type||Article|
|Publication Date||Dec 1, 2006|
|Deposit Date||Oct 12, 2012|
|Publicly Available Date||Oct 24, 2012|
|Journal||Ergodic Theory and Dynamical Systems|
|Publisher||Cambridge University Press|
|Peer Reviewed||Peer Reviewed|
Accepted Journal Article
© 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
Published Journal Article
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