algebraic dynamics

While standard dynamics studies processes in real time, sometimes it also considers discrete dynamical systems. The step of discrete dynamics is in the appropriate category.

In **algebraic dynamics** one typically studies discrete dynamical systems on algebraic varieties. Such a system is given by a regular endomorphism $D: X\to X$ of a variety $X$.

- L. Szpiro,
*Algebraic dynamics*, pdf

The case over number fields is also called arithmetic dynamics, see

- wikipedia arithmetic dynamics

Last revised on January 17, 2015 at 15:53:45. See the history of this page for a list of all contributions to it.