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math.MG2018
Intermediate dimensions
Kenneth J. Falconer, Jonathan M. Fraser, Tom Kempton
We introduce a continuum of dimensions which are `intermediate' between the familiar Hausdorff and box dimensions. This is done by restricting the families of allowable covers in t…
math.CA2018★ 2 cited
On the Hausdorff Dimension of Bernoulli Convolutions
Shigeki Akiyama, De-Jun Feng, Tom Kempton +1
We give an expression for the Garsia entropy of Bernoulli convolutions in terms of products of matrices. This gives an explicit rate of convergence of the Garsia entropy and shows…