The intrinsic normalising constants of transformations preserving infinite measures

Jon Aaronson*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We consider the collection of normalisations of a c.e.m.p.t. inside other c.e.m.p.t.s of which it is a factor. This forms an analytic, multiplicative subgroup of R +. The groups corresponding to similar c.e.m.p.t.s coincide. "Usually" this group is {1}. Examples are given where the group is:R +, any countable subgroup of R +, and also an uncountable subgroup of R + of any Haussdorff dimension. These latter groups are achieved by c.e.m.p.t.s which are not similar to their inverses.

Original languageEnglish
Pages (from-to)239-270
Number of pages32
JournalJournal d'Analyse Mathematique
Volume49
Issue number1
DOIs
StatePublished - Dec 1987

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