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 ofR +. 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 ofR +, and also an uncountable subgroup ofR + of any Haussdorff dimension. These latter groups are achieved by c.e.m.p.t.s which are not similar to their inverses.
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Research partially supported by NSERC grants A 8815 and A 3974.
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Aaronson, J. The intrinsic normalising constants of transformations preserving infinite measures. J. Anal. Math. 49, 239–270 (1987). https://doi.org/10.1007/BF02792898
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DOI: https://doi.org/10.1007/BF02792898