Good Reduction of Preperiodic Points

  • Sarah Blackwell Saint Louis University

Abstract

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.

article type

Dates
Published: 2018-06-15
How to Cite
Blackwell, S. (2018). Good Reduction of Preperiodic Points. Minnesota Journal of Undergraduate Mathematics, 4(1). Retrieved from https://pubs.lib.umn.edu/index.php/mjum/article/view/4151
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Articles