Non-uniqueness in G-measures

Dooley, AH; Rudolph, DJ

Non-uniqueness in G-measures

Dooley, AH

Rudolph, DJ

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Publication Type:: Journal Article
Citation:: Ergodic Theory and Dynamical Systems, 2012, 32 (2), pp. 575 - 586
Issue Date:: 2012-04-01

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Field	Value	Language
dc.contributor.author	Dooley, AH https://orcid.org/0000-0002-2656-3042	en_US
dc.contributor.author	Rudolph, DJ	en_US
dc.date.issued	2012-04-01	en_US
dc.identifier.citation	Ergodic Theory and Dynamical Systems, 2012, 32 (2), pp. 575 - 586	en_US
dc.identifier.issn	0143-3857	en_US
dc.identifier.uri	http://hdl.handle.net/10453/114857
dc.description.abstract	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.	en_US
dc.relation.ispartof	Ergodic Theory and Dynamical Systems	en_US
dc.relation.isbasedon	10.1017/S0143385711000423	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Non-uniqueness in G-measures	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	32	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
pubs.organisational-group	/University of Technology Sydney/Strength - QFRC - Quantitative Finance Research Centre
utslib.copyright.status	closed_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	32	en_US

Abstract:

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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http://hdl.handle.net/10453/114857