Some New Applications of Riesz Products
نویسندگان
چکیده
The results which I will describe arise from joint work with Bill Moran, ru.rd with Dani Berend, Charles Pearce and Andy Pollington. The common theme is the formalism of Riesz product measures, for these have proved to be exceptionally useful in the study of normal numbers. Elsewhere in these proceedings, Tony Dooley describes some of our joint work on the related class of G-measures (G for Gibbs) which we introduced, following work of Keane, [6], to generalize certain important features of Riesz products. I am confident that G-measures will also have significant applications but, curiously, it is those properties of Riesz products which are sacrificed in that generalization which are the ones which matter here.
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