New Directions in Algebraic Dynamical Systems

Klaus Schmidt*, Evgeny Verbitskiy

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

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    Abstract

    The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy or the free energy of solvable lattice models (especially dimer models). It is also known that the entropy of an algebraic dynamical system is the logarithmic Mahler measure of the defining polynomial. The connection between the lattice models and the algebraic dynamical systems is still rather mysterious.
    Original languageEnglish
    Pages (from-to)79-89
    Number of pages11
    JournalRegular & chaotic dynamics
    Volume16
    Issue number1-2
    DOIs
    Publication statusPublished - Feb-2011

    Keywords

    • Dimer matchings
    • domino tilings
    • Mahler measure
    • algebraic dynamics
    • homoclinic points
    • SELF-ORGANIZED CRITICALITY
    • FINITE GRAPH
    • ENTROPY
    • LATTICE
    • DIMERS
    • MODEL
    • AUTOMORPHISMS
    • STATISTICS

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