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20192026
most citedConservation of Singularities in Functional Equations Associated to Collatz-Type Dynamical Systems; or, Dreamcatchers for Hydra Maps

2 citations · 2 across the 10 of their papers we have counts for

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math.GM2026

Almost-Boundedness of Collatz-Type Maps on Number Rings via Archimedean Methods

Maxwell Siegel, Rory O'Dwyer

Let be an integer , not necessarily prime, and let be a number field. In 2019, Tao showed that almost every positive integer (in the sense of logarithmic density) ha…

math.DS2026

The Hydra Map and Numen Formalisms for Collatz-Type Problems

Maxwell C. Siegel

This paper details a generalization of the formalism presented in the author's 2024 paper, "The Collatz Conjecture and Non-Archimedean Spectral Theory - Part I - Arithmetic Dynamic…