Current Trends and Open Problems in Arithmetic Dynamics
Number Theory
2018-07-03 v2 Algebraic Geometry
Dynamical Systems
Abstract
Arithmetic dynamics is the study of number theoretic properties of dynamical systems. A relatively new field, it draws inspiration partly from dynamical analogues of theorems and conjectures in classical arithmetic geometry, and partly from -adic analogues of theorems and conjectures in classical complex dynamics. In this article we survey some of the motivating problems and some of the recent progress in the field of arithmetic dynamics.
Cite
@article{arxiv.1806.04980,
title = {Current Trends and Open Problems in Arithmetic Dynamics},
author = {Robert Benedetto and Laura DeMarco and Patrick Ingram and Rafe Jones and Michelle Manes and Joseph H. Silverman and Thomas J. Tucker},
journal= {arXiv preprint arXiv:1806.04980},
year = {2018}
}
Comments
72 pages, survey article, comments welcome, v.2 corrects mistakes and has added material