| Autor: |
Baake, Michael, Coons, Michael, Mañibo, Chrizaldy Neil, Bailey, David H., Borwein, Naomi Simone, Brent, Richard P., Burachik, Regina S., Osborn, Judy-anne Heather, Sims, Brailey, Zhu, Qiji J. |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Springer Proceedings in Mathematics & Statistics ISBN: 9783030365677 |
| DOI: |
10.1007/978-3-030-36568-4_20 |
| Popis: |
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. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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