Periodic Point Data Detects Subdynamics in Entropy Rank One

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dc.creatorMiles, Richard
dc.creatorWard, Thomas
dc.date2006-02-28
dc.date.accessioned2026-07-07T07:03:53Z
dc.date.available2026-07-07T07:03:53Z
dc.descriptionA framework for understanding the geometry of continuous actions of Z^d was developed by Boyle and Lind using the notion of expansive behavior along lower-dimensional subspaces. For algebraic Z^d-actions of entropy rank one, the expansive subdynamics is 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.
dc.identifierhttps://arxiv.org/abs/math/0602665
dc.identifierhttp://arxiv.org/abs/math/0602665
dc.identifierErgodic Theory and Dynamical Systems, 26, No. 6, 1913-1930 (2006)
dc.identifierdoi:10.1017/S014338570600054X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109152
dc.subjectDynamical Systems
dc.subjectCommutative Algebra
dc.subject22D40; 37A15; 37A35
dc.titlePeriodic Point Data Detects Subdynamics in Entropy Rank One
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