## Arithmetic Dynamics (2003)

by
Nikita Sidorov

Venue: | LMS LECTURE NOTES 310 |

Citations: | 5 - 1 self |

### BibTeX

@INPROCEEDINGS{Sidorov03arithmeticdynamics,

author = {Nikita Sidorov},

title = {Arithmetic Dynamics},

booktitle = {LMS LECTURE NOTES 310},

year = {2003},

pages = {145--189},

publisher = {London Mathematical Society}

}

### OpenURL

### Abstract

This survey paper is aimed to describe a relatively new branch of symbolic dynamics which we call Arithmetic Dynamics. It deals with explicit arithmetic expansions of reals and vectors that have a "dynamical" sense. This means precisely that they (semi-) conjugate a given continuous (or measure-preserving) dynamical system and a symbolic one. The classes of dynamical systems and their codings considered in the paper involve: .