Deterministic Forcing in the Compressed Collatz Dynamics

Key Points

• This research aims to explore a compressed formulation of the Collatz dynamics focusing on its structural properties.
• Utilized a compressed odd-to-odd framework to analyze the Collatz sequence.
• Examined modular and binary-compression structure.
• Analyzed finite-resolution behavior and average logarithmic drift.
• Revealed structural insights into the sequence, highlighting the effects of binary compression.
• Identified average logarithmic drift characteristics across finite-resolution scenarios.
• Showcased potential patterns in the Collatz dynamics that could lead to further research.