17 citations · 62 across the 15 of their papers we have counts for
24 papers
The Minkowski dimension of the image of an arboreal Galois representation
Chifan Leung, Clayton Petsche
We consider the Minkowski dimension of the arboreal Galois group associated to a rational map and a base point . This…
Non-abelian arboreal Galois groups associated to PCF rational maps
Chifan Leung, Clayton Petsche
We prove that arboreal Galois extensions of number fields are never abelian for post-critically finite rational maps and non-preperiodic base points. For polynomials, this establis…
Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics
Chatchai Noytaptim, Clayton Petsche
We classify all post-critically finite unicritical polynomials defined over the maximal totally real algebraic extension of . Two auxiliary results used in the proof o…
Non-Archimedean Koksma inequalities, variation, and Fourier analysis
Clayton Petsche, Naveen Somasunderam
We examine four different notions of variation for real-valued functions defined on the compact ring of integers of a non-Archimedean local field, with an emphasis on regularity pr…
Totally -adic functions of small height
Xander Faber, Clayton Petsche
Let be the field of rational functions in one variable over a finite field. We introduce the notion of a totally -adic function: one that is algebraic over $\m…
Abelian extensions in dynamical Galois theory
Jesse Andrews, Clayton Petsche
We propose a conjectural characterization of when the dynamical Galois group associated to a polynomial is abelian, and we prove our conjecture in several cases, including the stab…