Non-uniqueness in G-measures

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Journal Article
Ergodic Theory and Dynamical Systems, 2012, 32 (2), pp. 575 - 586
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Bramson and Kalikow and Quas showed the phenomenon of non-uniqueness for g-measures in the absence of a C 1 condition on g. We extend this result to show that for a sequence G=(G n), the class of G-measures can be badly behaved in the sense of containing measures of type IIIλ for all λ in a continuous image of an Fσ set. © 2011 Cambridge University Press.
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