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math.DS2013
Sets of beta-expansions and the Hausdorff Measure of Slices through Fractals
Tom Kempton
We study natural measures on sets of beta-expansions and on slices through self similar sets. In the setting of beta-expansions, these allow us to better understand the measure of…
math.DS2013
On the Invariant Density of the Random Beta-Transformation
Tom Kempton
We construct a Lebesgue measure preserving natural extension of the random beta-transformation. This allows us to give a formula for the density of the absolutely continuous invari…