R. Benedetto

activity

20032021

most citedAttracting cycles in p-adic dynamics and height bounds for post-critically finite maps

35 citations · 91 across the 20 of their papers we have counts for

collaborators

23 papers

math.DS2021

J-Stability in non-archimedean dynamics

Robert L. Benedetto, Junghun Lee

Let $C_{v}$ be a complete, algebraically closed non-archimedean field, and let $f \in C_{v} (z)$ be a rational function of degree $d \geq 2$ . If $f$ satisfies a bounded contraction cond…

math.NT2020

A finiteness property of postcritically finite unicritical polynomials

Robert L. Benedetto, Su-Ion Ih

Let $k$ be a number field with algebraic closure $k ˉ$ , and let $S$ be a finite set of places of $k$ containing all the archimedean ones. Fix $d \geq 2$ and $α \in k ˉ$ such…

math.NT2020

Discreteness of postcritically finite maps in p-adic moduli space

Robert L. Benedetto, Su-Ion Ih

Let $p \geq 2$ be a prime number and let $C_{p}$ be the completion of an algebraic closure of the $p$ -adic rational field $Q_{p}$ . Let $f_{c} (z)$ be a one-parameter fam…

math.NT2019★ 8 cited

The arithmetic basilica: a quadratic PCF arboreal Galois group

Faseeh Ahmad, Robert L. Benedetto, Jennifer Cain +2

The arboreal Galois group of a polynomial $f$ over a field $K$ encodes the action of Galois on the iterated preimages of a root point $x_{0} \in K$ , analogous to the action of Galois…

math.NT2018

Current Trends and Open Problems in Arithmetic Dynamics

Robert Benedetto, Laura DeMarco, Patrick Ingram +4

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 c…

math.FA2018

Frames of translates for number-theoretic groups

John J. Benedetto, Robert L. Benedetto

Frames of translates of f in L^2(G) are characterized in terms of the zero-set of the so-called spectral symbol of f in the setting of a locally compact abelian group G having a co…