Vefa Goksel

activity

20132025

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

A note on the factorization of iterated quadratics over finite fields

Vefa Goksel

Let $f$ be a monic quadratic polynomial over a finite field of odd characteristic. In 2012, Boston and Jones constructed a Markov process based on the post-critical orbit of $f$ , a…

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.NT2022

Misiurewicz polynomials and dynamical units, Part I

Robert L. Benedetto, Vefa Goksel

We study the dynamics of the unicritical polynomial family $f_{d, c} (z) = z^{d} + c \in C [z]$ . The $c$ -values for which $f_{d, c}$ has a strictly preperiodic postcritical orbit are…