Titlebook: Heights of Polynomials and Entropy in Algebraic Dynamics; Graham Everest,Thomas Ward Textbook 1999 Springer-Verlag London 1999 Prime.algeb

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Heights of Polynomials and Entropy in Algebraic Dynamics978-1-4471-3898-3Series ISSN 0172-5939 Series E-ISSN 2191-6675

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Higher-Dimensional Dynamical Systems, compact group .. (in the general case of Section 2.3). The map .. × ? → .. defined by (., .) ? ... is then an . of ? by automorphisms of ... In this chapter we introduce higher-dimensional dynamical systems (actions of ?. for . ≥ 2) associated to polynomials in several variables.

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Dynamical Systems,The first connection between Mahler’s measure and algebraic dynamical systems is that the . of such systems always turns out to be the Mahler measure of an integral polynomial.

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,Mahler’s Measure in Many Variables,Mahler’s lemma (Lemma 1.8) suggests how to generalize the measure of polynomials in one variable to several variables. In this chapter we extend some of the results of Chapter 1 to this more general measure.

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