Higher-Dimensional Dynamical Systems
In Chapter 2 a dynamical system was associated to each integer polynomial F in one variable. The dynamical system was given by an automorphism T F of a compact group X F (in the general case of Section 2.3). The map X F × ℤ → X F defined by (x, n) ↦ T F n x is then an action of ℤ by automorphisms of X F . In this chapter we introduce higher-dimensional dynamical systems (actions of ℤ n for n ≥ 2) associated to polynomials in several variables.
KeywordsZeta Function Compact Group Periodic Point Haar Measure Topological Entropy
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