Other Areas in Which Number Theory and Dynamics Interact
There are many other problems of a number theoretic nature that appear in the setting of dynamical systems, including:
- dynamics over finite fields.
- dynamics over function fields such as C(x).
- iteration of formal and p-adic power series.
- dynamics on Lie groups.
- arithmetic properties of dynamically defined moduli spaces.
- equidistribution and invariant measures, especially on p-adic spaces.
- dynamics on Drinfeld modules.
- number-theoretic iteration problems that are not described by rational maps on varieties, for example, the Collatz problem.
The Arithmetic Dynamics Reference List gives an extensive list of articles and books covering a wide range of arithmetical dynamical topics.
Read more about this topic: Arithmetic Dynamics
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