Local dimensions for the random β-transformation
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Publication date
2013
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Dajani, K.
Kalle, C.
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Abstract
The random β-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of β and use the projection to obtain results on the local dimension of the Bernoulli convolution.
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Dajani, K & Kalle, C C C J 2013, 'Local dimensions for the random β-transformation', New York Journal of Mathematics, vol. 19, pp. 285-303. < http://nyjm.albany.edu/j/2013/19-15.html >