##  [Arithmetic Dynamics](/arithmetic-dynamics) 

  ##  [Arithmetic Dynamics](https://puremath.quantumdictionary.io/arithmetic-dynamics-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The study of number-theoretic properties of dynamical systems defined by iterating algebraic self-maps (polynomial or rational maps) on algebraic varieties over global or local fields, focusing on heights, distribution of periodic and preperiodic points, orbit arithmetic, and reduction modulo primes.