Current trends and open problems in arithmetic dynamics

By Robert L. Benedetto, Laura Demarco, Patrick Ingram, Rafe Jones, Michelle Manes, Joseph H. Silverman, T. Tucker. Bulletin of the American Mathematical Society, 2018

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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 p p -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.

Subfields: Computational Theory and Mathematics, Mathematical Physics

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