Showing math.DSShow all
2 papers · 1 filter
math.DS2023
On the Convergence of the Density of Terras' Set
Idris Assani, Ethan Ebbighausen
The Collatz Conjecture's connection to dynamical systems opens it to a variety of techniques aimed at recurrence and density results. First, we turn to density results and strength…
math.DS2022
Syracuse Maps as Non-singular Power-Bounded Transformations and Their Inverse Maps
Idris Assani, Ethan Ebbighausen, Anand Hande
We prove that the dynamical system , where is a finite measure equivalent to the counting measure, is power-bounded in if and only…