14 citations · 35 across the 10 of their papers we have counts for
14 papers
Detectability and Systematic Bias from First-Order Phase-Transition Dephasing in Kerr EMRIs
Jingxu Wu, Liangyu Luo, Junyi Zhang +3
We study gravitational-wave dephasing induced by an effective first-order phase transition in a Kerr extreme mass-ratio inspiral (EMRI). The transition is modeled phenomenologicall…
Arboreal Galois groups of postcritically finite quadratic polynomials: The strictly preperiodic case
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
In a previous paper, we provided an explicit description of the arboreal Galois group of the postcritically finite polynomial in the special case when the critical…
Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial , where belongs to some arbitrary field of characterist…
Specializations of Iterated Galois Groups of PCF Rational Functions
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
We obtain a criterion for when the specialization of the iterated Galois group for a post-critically finite (PCF) rational map is as large as possible, i.e., it equals the generic…
Backward orbits of critical points
Jamie Juul
We examine the Galois groups of the extensions where is a number field for polynomials . We use our understanding of this group to st…
A dynamical Shafarevich theorem for endomorphisms of
Jamie Juul, Holly Krieger, Nicole Looper +1
We prove a dynamical analogue of the Shafarevich conjecture for morphisms of degree , defined over a number field . This extends previ…
Arboreal representations for rational maps with few critical points
Jamie Juul, Holly Krieger, Nicole Looper +3
Jones conjectures the arboreal representation of a degree two rational map will have finite index in the full automorphism group of a binary rooted tree except under certain condit…
Odoni's conjecture for number fields
Robert L. Benedetto, Jamie Juul
Let be a number field, and let . A conjecture of Odoni (stated more generally for characteristic zero Hilbertian fields ) posits that there is a monic polynomial $f…
The image size of iterated rational maps over finite fields
Jamie Juul
Let be a rational map of degree on a fixed finite field. We give asymptotic formulas for the size of image sets $φ^n…
A large arboreal Galois representation for a cubic postcritically finite polynomial
Robert L. Benedetto, Xander Faber, Benjamin Hutz +2
We give a complete description of the arboreal Galois representation of a certain postcritically finite cubic polynomial over a large class of number fields and for a large class o…
Fixed point proportions for Galois groups of non-geometric iterated extensions
Jamie Juul
Given a map of degree greater than 1 defined over a number field , one can define a map $φ_\mathfrak{p}:\mathbb{P}^1(\mathfrak{o}_k/\mat…
Finite ramification for preimage fields of postcritically finite morphisms
Andrew Bridy, Patrick Ingram, Rafe Jones +5
Given a finite endomorphism of a variety defined over the field of fractions of a Dedekind domain, we study the extension $K(φ^{-\infty}(α)) : = \bigcup_{n \geq 1} K(φ^…
Wreath products and proportions of periodic points
Jamie Juul, Par Kurlberg, Kalyani Madhu +1
Let be a rational map of degree greater than one defined over a number field . For each prime of good reduction…
Iterates of Generic Polynomials and Generic Rational Functions
Jamie Juul
In 1985, Odoni showed that in characteristic the Galois group of the -th iterate of the generic polynomial with degree is as large as possible. That is, he showed that t…