14 citations · 68 across the 34 of their papers we have counts for
42 papers
Relative position in binary substitutions
Michael Coons, Christopher Ramsey, Nicolae Strungaru
Given an infinite word on a finite alphabet, an immediate question arises:~can we understand the frequency of letters in \,? For words that are the fixed points…
Asymptotics for partitions over the Fibonacci numbers and related sequences
Michael Coons, Simon Kristensen, Mathias L. Laursen
In this paper, harkening back to ideas of Hardy and Ramanujan, Mahler and de Bruijn, with the addition of more recent results on the Fibonacci Dirichlet series, we determine the as…
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…
Correlations of the Thue--Morse sequence
Michael Baake, Michael Coons
The pair correlations of the Thue--Morse sequence and system are revisited, with focus on asymptotic results on various means. First, it is shown that all higher-order correlations…
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…
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…