1. Introduction

6. Multivariable Analogues of Dynamical Kronecker’s Lemma

7. An Integrality Property of Commuting Polynomials

8. Dynamical Kronecker’s Lemma in Some Two-Variable Cases

9. Conditions for the Preperiodic Points of \( f \) to Lie in the Julia Set \( \mathcal{I}_{f} \)