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Higher-Dimensional Dynamical Systems

  • Graham Everest
  • Thomas Ward
Part of the Universitext book series (UTX)

Abstract

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.

Keywords

Zeta Function Compact Group Periodic Point Haar Measure Topological Entropy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 1999

Authors and Affiliations

  • Graham Everest
    • 1
  • Thomas Ward
    • 1
  1. 1.School of MathematicsUniversity of East AngliaNorwichUK

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