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Arithmetics of dynamical systems: a survey. (English) Zbl 0978.11008
Summary: A survey of recent developments concerning the behaviour of polynomial mappings in finitely generated rings of zero characteristic is given. Particular attention is paid to the length of finite cyclic orbits of such mappings.

MSC:
11C08 Polynomials in number theory
37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
11S05 Polynomials
11R09 Polynomials (irreducibility, etc.)
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