3 citations · 6 across the 6 of their papers we have counts for
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The Entropy and Hausdorff Dimension of self-similar sets
James Evans
Given a -self similar set we calculate both its Hausdorff dimension and its entropy, and show that these two quantities are in fact equal. This affirmativel…
A sequential view of self--similar measures, or, What the ghosts of Mahler and Cantor can teach us about dimension
Michael Coons, James Evans
We show that missing -ary digit sets have corresponding naturally associated countable binary -automatic sequence . Using this correspondence, we show th…
The Ghost Measures of Affine Regular Sequences
James Evans
The k-regular sequences exhibit a self-similar behaviour between powers of k. One way to study this self-similarity is to attempt to describe the limiting shape of the sequence usi…
No almost simple sporadic group acts primitively on the points of a generalised quadrangle
John Bamberg, James Evans
A generalised quadrangle is a point-line incidence geometry G such that: (i) any two points lie on at most one line, and (ii) given a line L and a point p not incident with L, ther…
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…