Current trends and open problems in arithmetic dynamics
R Benedetto, P Ingram, R Jones, M Manes… - Bulletin of the American …, 2019 - ams.org
Bulletin of the American Mathematical Society, 2019•ams.org
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 $-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.
References
relatively new field, it draws inspiration partly from dynamical analogues of theorems and
conjectures in classical arithmetic geometry and partly from $ 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.
References
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. References
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