6 citations · 6 across the 2 of their papers we have counts for
5 papers
Periodic points of rational functions over finite fields
Derek Garton
For a prime power and a rational function with coefficients in , let be the proportion of that is periodic with respect…
Periodic points of polynomials over finite fields
Derek Garton
Fix an odd prime . If is a positive integer and a polynomial with coefficients in , let be the proportion of $\mathbb{P}^1(\mathbb{F}_{p^r…
The cycle structure of unicritical polynomials
Andrew Bridy, Derek Garton
A polynomial with integer coefficients yields a family of dynamical systems indexed by primes as follows: for any prime , reduce its coefficients mod and consider its action…
A probabilistic heuristic for counting components of functional graphs of polynomials over finite fields
Elisa Bellah, Derek Garton, Erin Tannenbaum +1
In 2014, Flynn and the second author bounded the average number of components of the functional graphs of polynomials of fixed degree over a finite field. When the fixed degree was…
Dynamically distinguishing polynomials
Andrew Bridy, Derek Garton
A polynomial with integer coefficients yields a family of dynamical systems indexed by primes as follows: for any prime , reduce its coefficients mod and consider its action…