Vefa Goksel

activity

20182022

collaborators

4 papers

math.NT2022

Misiurewicz polynomials and dynamical units, Part II

Robert L. Benedetto, Vefa Goksel

Fix an integer $d \geq 2$ . The parameters $c_{0} \in Q ˉ$ for which the unicritical polynomial $f_{d, c} (z) = z^{d} + c \in C [z]$ has finite postcritical orbit, also know…

math.NT2019

A note on Misiurewicz polynomials

Vefa Goksel

Let $f_{c, d} (x) = x^{d} + c \in C [x]$ . The $c_{0}$ values for which $f_{c_{0}, d}$ has a strictly pre-periodic finite critical orbit are called Misiurewicz points. Any Misiurewicz poi…

math.NT2018

Markov Processes and Some PCF Quadratic Polynomials

Vefa Goksel

For any $n \geq 1$ , let $T_{n}$ be the complete binary rooted tree of height $n$ , and $f (x) = (x + a)^{2} - a - 1$ such that $a \neq = \pm b^{2}$ for any $b \in Z$ . In \cite{Settled}, Jones…

math.NT2018

On the orbit of a post-critically finite polynomial of the form $x^{d} + c$

Vefa Goksel

In this paper, we study the critical orbit of a post-critically finite polynomial of the form $f_{c, d} (x) = x^{d} + c \in C [x]$ . We discover that in many cases the orbit eleme…

Misiurewicz polynomials and dynamical units, Part II

A note on Misiurewicz polynomials

Markov Processes and Some PCF Quadratic Polynomials

On the orbit of a post-critically finite polynomial of the form xd+c

On the orbit of a post-critically finite polynomial of the form $x^{d} + c$