The Arithmetic of Dynamical Systems

@inproceedings{Silverman2007TheAO,
  title={The Arithmetic of Dynamical Systems},
  author={Joseph H. Silverman},
  year={2007}
}
* Provides an entry for graduate students into an active field of research * Each chapter includes exercises, examples, and figures * Will become a standard reference for researchers in the field * Contains descriptions of many known results and conjectures, together with an extensive bibliography This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real… 
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A general framework for investigating topological actions of Z d on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower dimensional subspaces of R d. Here
Institute for Mathematical Physics Homoclinic Points of Algebraic Z D {actions Homoclinic Points of Algebraic Z D -actions
Let be an action of Z d by continuous automorphisms of a compact abelian group X. A point x in X is called homoclinic for if n x ! 0X as knk ! 1. We study the set (X) of homoclinic points for , which
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THIS is a text–book intended primarily for undergraduates. It is designed to give a broad basis of knowledge comprising such theories and theorems in those parts of algebra which are mentioned in the
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Expansive Subdynamics
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