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- W3005907801 abstract "We provide an estimate from below for the lower Hausdorff dimension of measures on the unit circle based on the arithmetic properties of their spectra. We obtain our bounds via application of a general result for abstract $q$-regular martingales to the Gundy--Varopoulos backwards martingale. To show the sharpness of our method, we improve the best known numerical lower bound for the Hausdorff dimension of certain Riesz products." @default.
- W3005907801 created "2020-02-24" @default.
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- W3005907801 date "2020-02-15" @default.
- W3005907801 modified "2023-09-27" @default.
- W3005907801 title "Hausdorff dimension of measures with arithmetically restricted spectrum" @default.
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