Essays about: "Jakob Streipel"

Found 2 essays containing the words Jakob Streipel.

  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

  3. 2. On the Number of Periodic Points of Quadratic Dynamical Systems Modulo a Prime

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Jakob Streipel; [2015]
    Keywords : Discrete dynamical systems; Quadratic maps; Periodic points;

    Abstract : We investigate the number of periodic points of certain discrete quadratic maps modulo prime numbers. We do so by first exploring previously known results for two particular quadratic maps, after which we explain why the methods used in these two cases are hard to adapt to a more general case. READ MORE