a1 School of Mathematics, University of New South Wales, Sydney 2052, Australia (email: email@example.com)
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.
(Received December 09 2010)
(Revised May 06 2011)
(Online publication September 16 2011)
Dedicated to the memory of Daniel Rudolph