14 citations · 68 across the 34 of their papers we have counts for
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math.DS2022
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…
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…
math.DS2017
Binary constant-length substitutions and Mahler measures of Borwein polynomials
Michael Baake, Michael Coons, Neil Manibo
We show that the Mahler measure of every Borwein polynomial -- a polynomial with coefficients in having non-zero constant term -- can be expressed as a maximal Lyapu…