TY - JOUR
AU - Blackwell, Sarah
PY - 2018/06/15
Y2 - 2021/11/28
TI - Good Reduction of Preperiodic Points
JF - Minnesota Journal of Undergraduate Mathematics
JA - mjum
VL - 4
IS - 1
SE - Articles
DO -
UR - https://pubs.lib.umn.edu/index.php/mjum/article/view/4151
SP -
AB - <p>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.</p>
ER -