Vefa Goksel

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20132025

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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…

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 $x^{d} + c$