Neil Mañibo

activity

20172026

most citedRenormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction

20 citations · 48 across the 17 of their papers we have counts for

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3 papers · 1 filter

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 ${- 1, 0, 1}$ having non-zero constant term -- can be expressed as a maximal Lyapu…

math.DS2017★ 14 cited

Spectral analysis of a family of binary inflation rules

Michael Baake, Uwe Grimm, Neil Manibo

The family of primitive binary substitutions defined by $1 \mapsto 0 \mapsto 0 1^{m}$ with $m \in N$ is investigated. The spectral type of the corresponding diffraction measur…

math.DS2017★ 7 cited

Lyapunov exponents for binary substitutions of constant length

Neil Mañibo

A method of confirming the absence of absolutely continuous diffraction via the positivity of Lyapunov exponents derived from the corresponding Fourier matrices is presented, which…