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The critical orbit structure of quadratic polynomials in $\mathbb{Z}_p$ by Mullen, Cara is a scholarly article available to read on EtoBox.

What is The critical orbit structure of quadratic polynomials in $\mathbb{Z}_p$ about?

We study the forward orbit of the critical point for polynomials of the form $f_c=z^2+c$ defined over $\mathbb{Z}_p$. Hubbard trees capture the dynamical behavior for such maps with finite critical orbit in $\mathbb{C}$. We suggest a notion of Hubbard trees in the non-Archimedean setting, and describe the possible structures that arise for polynomials in $\mathbb{Z}_p$. As an example, we take a closer look at the dynamics of $f_c$ for $c\in\mathbb{Z}_3$.

Author

Mullen, Cara

Published

2016

Language

EN