Essays about: "arithmetic dynamical systems"

Found 1 essay containing the words arithmetic dynamical systems.

  1. 1. Modelling the Number of Periodic Points of Quadratic Maps Using Random Maps

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Jakob Streipel; [2017]
    Keywords : arithmetic dynamical systems; periodic points; quadratic maps; random maps;

    Abstract : Since the introduction of Pollard's rho method for integer factorisation in 1975 there has been great interest in understanding the dynamics of quadratic maps over finite fields. One avenue for this, and indeed the heuristic on which Pollard bases the proof of the method's efficacy, is the idea that quadratic maps behave roughly like random maps. READ MORE