
This repository accompanies the paper “Why the Odd-Only Collatz Map Lacks Persistent Growth Tubes”. The work presents an empirical and structural analysis of the odd-only Collatz map,focusing on the stability of growth-supporting residue structures under 2-adic refinement.Rather than claiming convergence or a proof of the Collatz conjecture,the paper isolates refinement stability as a diagnostic criterion. Empirically, residue classes that exhibit positive expected log-drift at a coarse modulus(e.g. mod 36) fail to remain dominant when refined to mod 72 for the map n ↦ 3n + 1,while the variant n ↦ 3n + 5 exhibits stable lifting of its dominant structure. The repository includes the paper, the analysis code, and the residue-conditioneddrift data used to generate the figures.The results are intended as a structural perspective on the difficulty of sustainingpersistent growth in Collatz-type dynamics.
residue dynamics, Collatz conjecture, odd-only Collatz map, 2-adic refinement, empirical number theory, dynamical systems, strongly connected components
residue dynamics, Collatz conjecture, odd-only Collatz map, 2-adic refinement, empirical number theory, dynamical systems, strongly connected components
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
