November 9, 2025Open Access

A 2-adic Density Lemma in the Odd Trajectory of the Collatz Map

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Analysis reveals that odd numbers form arithmetic progressions, suggesting connections to probabilistic models and formal equivalence.

Odd numbers create arithmetic progressions of relative density in the Collatz map, helping clarify their trajectories.
Findings include a focus on how these odd numbers are connected through formal equivalence in a probabilistic model.
Analysis highlights the unique global attractor of the cycle 4 → 2 → 1 connecting it to 2-adic dynamics.
This work enables new insights into the Structure Theorem linked with Kontorovich and Sinai's approach in mapping.

Miguel Cerdá Bennassar (2025) studied this question.

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