TY - JOUR
AU - Blackwell, Sarah
PY - 2018
TI - Good Reduction of Preperiodic Points
JF - Minnesota Journal of Undergraduate Mathematics; Vol 4 No 1
KW -
N2 - 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.
UR - https://mjum.math.umn.edu/index.php/mjum/article/view/28