%A Blackwell, Sarah
%D 2018
%T Good Reduction of Preperiodic Points
%K
%X This paper considers dynamical systems of rational functions modulo primes in order to compare the original orbits of a function to the reduced orbit. It is already known what happens to the period, or the repeating iterate values, of a certain preperiodic point when we reduce modulo a certain prime. We have shown that when a tail, or the values of iterates that occur before the iterates become periodic, is reduced modulo a prime, all possible tail lengths can be achieved.
%U https://mjum.math.umn.edu/index.php/mjum/article/view/28
%J Minnesota Journal of Undergraduate Mathematics
%0 Journal Article
%V 4
%N 1
%@ 2378-5810
%8 2018-06-15