Mahler measure of polynomial iterates

DOI10.4153/s0008439523000048OpenAlexW4315781664MaRDI QIDQ6052796

Igor E. Pritsker

Publication date: 25 September 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439523000048

zbMATH Keywords

polynomial dynamicsJulia setinvariant measureMahler measure

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Polynomials and rational functions of one complex variable (30C10) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Cites Work

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• Moment inequalities for equilibrium measures in the plane
• Computational excursions in analysis and number theory
• Heights of polynomials and entropy in algebraic dynamics
• Complex dynamics
• Extremal problems involving logarithmic and Green capacity
• Two-variable polynomials with dynamical Mahler measure zero
• Invariant sets under iteration of rational functions
• A note on the julia set of polynomials
• Around the Unit Circle
• A dynamical pairing between two rational maps

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