M. Siegel

activity

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

collaborators

Showing 2020Show all

2 papers · 1 filter

math.DS2020

The Collatz Conjecture & Non-Archimedean Spectral Theory: Part I -- Arithmetic Dynamical Systems and Non-Archimedean Value Distribution Theory

Maxwell Charles Siegel

Let $q$ be an odd prime, and let $T_{q} : Z \to Z$ be the Shortened $q x + 1$ map, defined by $T_{q} (n) = n /2$ if $n$ is even and $T_{q}\left(n\right)=\…

math.GM2020

Fourier Analysis of the Parity-Vector Parameterization of the Generalized Collatz px+1 maps

Maxwell C. Siegel

Let p be an odd prime, and consider the map H_p which sends an integer x to either x/2 or (px+1)/2 depending on whether x is even or odd. The values at x=0 of arbitrary composition…