Entropy-Based Distortion in Hashimoto's fractal in his symbolic Collatz model
Abstract
We introduce in an exploratory level an entropy-based symbolic model motivated by the binary representation of preimages in the continuous Collatz framework. Using Shannon entropy on finite binary words and their subwords, we define local and global distortion factors depending on the empirical information content of symbol sequences.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
advanced mathematical theories
Cellular Automata and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 February 2026
- Language
- EN