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math.NT2021
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…
math.NT2020★ 3 cited
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…
math.NT2020★ 1 cited
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…