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• W2767422919 abstract "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 Lyapunov exponent of a matrix cocycle that arises in the spectral theory of binary constant-length substitutions. In this way, Lehmer's problem for height-one polynomials having minimal Mahler measure becomes equivalent to a natural question from the spectral theory of binary constant-length substitutions. This supports another connection between Mahler measures and dynamics, beyond the well-known appearance of Mahler measures as entropies in algebraic dynamics." @default.
• W2767422919 created "2017-11-17" @default.
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• W2767422919 date "2017-11-07" @default.
• W2767422919 modified "2023-09-27" @default.
• W2767422919 title "Binary constant-length substitutions and Mahler measures of Borwein polynomials" @default.
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• W2767422919 hasPublicationYear "2017" @default.
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