Jakob Streipel
Department of Mathematics and Statistics
Washington State University
Title: Quadratic Dynamical Systems over Finite Fields
Abstract: We will discuss
quadratic dynamical systems over finite fields, which have wide-ranging
applications in primality checking, integer factorisation, and
pseudo-random number generation. In particular we will explore why
$f(x) = x^2$ and $g(x) = x^2 - 2$ are special amongst the quadratic
dynamical systems.