3 citations · 6 across the 6 of their papers we have counts for
7 papers
Spectral theory of regular sequences: parametrisation and spectral characterisation
Michael Coons, James Evans, Philipp Gohlke +1
We extend the existence of ghost measures beyond nonnegative primitive regular sequences to a large class of nonnegative real-valued regular sequences. In the general case, where t…
Ghost distributions of regular sequences are affine transformations of self-affine sets
Michael Coons, James Evans, Zachary Groth +1
Ghost measures of regular sequences---the unbounded analogue of automatic sequences---are generalisations of standard fractal mass distributions. They were introduced to determine…
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…