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Non-uniqueness in -measures

Published online by Cambridge University Press:  16 September 2011

A. H. DOOLEY
Affiliation:
School of Mathematics, University of New South Wales, Sydney 2052, Australia (email: a.dooley@unsw.edu.au)
DANIEL J. RUDOLPH
Affiliation:
School of Mathematics, University of New South Wales, Sydney 2052, Australia (email: a.dooley@unsw.edu.au)

Abstract

Bramson and Kalikow and Quas showed the phenomenon of non-uniqueness for g-measures in the absence of a C1 condition on g. We extend this result to show that for a sequence G=(Gn), 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.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2011

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