Isomorphism rigidity in entropy rank two

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dc.creatorEinsiedler, Manfred
dc.creatorWard, Thomas
dc.date2003-09-09
dc.date.accessioned2026-07-07T06:19:52Z
dc.date.available2026-07-07T06:19:52Z
dc.descriptionWe study the rigidity properties of a class of algebraic Z^3-actions with entropy rank two. For this class, conditions are found which force an invariant measure to be the Haar measure on an affine subset. This is applied to show isomorphism rigidity for such actions, and to provide examples of non-isomorphic Z^3-actions with all their Z^2-sub-actions isomorphic. The proofs use lexicographic half-space entropies and total ergodicity along critical directions.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0309161
dc.identifierhttp://arxiv.org/abs/math/0309161
dc.identifierIsrael Journal of Mathematics, 147, 269-284, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95174
dc.subjectDynamical Systems
dc.subject22D40; 37A15; 52B11
dc.titleIsomorphism rigidity in entropy rank two
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