In the field of arithmetic dynamics, we study number theoretic aspects of discrete dynamical systems induced by rational maps on projective spaces. Among the rational …
The work in this thesis concerns two problems in arithmetic dynamics: forward orbit problems over finite fields, and inverse image problems over local fields. We …
In a celebrated paper published in 1983, R. Mañé, P. Sad, and D. Sullivan proved a result about holomorphic families of injections called the λ-Lemma …