Author:
Bedford Tim,Urbański Mariusz
Abstract
AbstractUnder a natural assumption the Hausdorff dimension of a measure μ canonically associated with a given self-affine set is computed. A simplified proof of Bowen's formula for the box dimension of self-affine sets proved earlier is given. A condition for the box dimension and Hausdorff dimension to be equal is proven, and a collection of examples in which this condition can be checked is discussed.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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