@article{Blackwell_2018, place={Minneapolis, MN}, title={Good Reduction of Preperiodic Points}, volume={4}, url={https://pubs.lib.umn.edu/index.php/mjum/article/view/4151}, abstractNote={<p>This paper considers dynamical systems of rational functions modulo primes in order&nbsp;to compare the original orbits of a function to the reduced orbit. It is already known what happens&nbsp;to the period, or the repeating iterate values, of a certain preperiodic point when we reduce modulo&nbsp;a certain prime. We have shown that when a tail, or the values of iterates that occur before the&nbsp;iterates become periodic, is reduced modulo a prime, all possible tail lengths can be achieved.</p>}, number={1}, journal={Minnesota Journal of Undergraduate Mathematics}, author={Blackwell, Sarah}, year={2018}, month={Jun.} }