Tom Kempton

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20122026

most citedComputing Garsia Entropy for Bernoulli Convolutions with Algebraic Parameters

2 citations · 8 across the 16 of their papers we have counts for

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math.DS2012

Digit Frequencies and Bernoulli Convolutions

Tom Kempton

It is well known that the Bernoulli convolution $ν_{β}$ associated to the golden mean has Hausdorff dimension less than 1, i.e. that there exists a set $A$ with $ν_{β} (A) = 1$ and $dim_H…

math.DS2012

Counting Beta Expansions and the Absolute Continuity of Bernoulli Convolutions

Tom Kempton

We study the typical growth rate of the number of words of length n which can be extended to beta-expansions of x. In the general case we give a lower bound for the growth rate, wh…