Arithmetic dynamics is the study of number theoretic properties of dynamical systems. A
relatively new field, it draws inspiration partly from dynamical analogues of theorems and …

We study the algebraic dynamics of endomorphisms of projective spaces with coefficients in
a p-adic field whose reduction in positive characteristic is the Frobenius. In particular, we …

Abstract Let f 1,…, fn∈ ℚ [x] be polynomials of degree d> 1 such that no fi is conjugate to xd
or to±C d (x), where C d (x) is the Chebyshev polynomial of degree d. We let φ be their …

We define X-base Fibonacci-Wieferich primes, which generalize Wieferich primes, where X
is a finite set of algebraic numbers. We show that there are infinitely many non-X-base …

Topics in Arithmetic Dynamical Systems Page 1 Topics in Arithmetic Dynamical Systems by
Wayne Peng Submitted in Partial Fulfillment of the Requirements for the Degree Doctor of …

This document lists a wide variety of articles and books in the area of arithmetic dynamics. It
also includes some additional material that was referenced in The Arithmetic of Dynamical …