James Evans

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20202023

most citedA sequential view of self--similar measures, or, What the ghosts of Mahler and Cantor can teach us about dimension

3 citations · 6 across the 6 of their papers we have counts for

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math.DS2020

The Entropy and Hausdorff Dimension of self-similar sets

James Evans

Given a $k$ -self similar set $X \subset [0, 1]^{d}$ we calculate both its Hausdorff dimension and its entropy, and show that these two quantities are in fact equal. This affirmativel…

math.DS2020★ 1 cited

On a family of singular continuous measures related to the doubling map

Michael Baake, Michael Coons, James Evans +1

Here, we study some measures that can be represented by infinite Riesz products of 1-periodic functions and are related to the doubling map. We show that these measures are purely…