The critical dimension for G-measures

Publication Type:
Journal Article
Ergodic Theory and Dynamical Systems, 2017, 37 (3), pp. 824 - 836
Issue Date:
Filename Description Size
The_critical_dimension_for_G-m.pdfPublished Version158.38 kB
Adobe PDF
Full metadata record
© 2015 Cambridge University Press. The critical dimension of an ergodic non-singular dynamical system is the asymptotic growth rate of sums of consecutive Radon-Nikodým derivatives. This has been shown to equal the average coordinate entropy for product odometers when the size of individual factors is bounded. We extend this result to G-measures with an asymptotic bound on the size of individual factors. Furthermore, unlike von Neumann-Krieger type, the critical dimension is an invariant property on the class of ergodic G-measures.
Please use this identifier to cite or link to this item: