2021/08/06 by T. E. Raptis, Theophanes Raptis, Raptis, Theophanes +2
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Biochemical and Structural Characterization #Cellular Automata and Applications #FOS: Physical sciences #General Physics (physics.gen-ph) #Mathematical Dynamics and Fractals #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.2108.07712
18 pages, 5 figures
openalex publication_date 2021/08/06 · arxiv created 2022/03/21 · arxiv updated 2022/03/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We report on a peculiar effect regarding the use of the prime's last digit sequence which is equivalent to a quaternary symbolic sequence. This was used as a driving sequence for the recently introduced Schramm-Loewner Evolution after using two different classes of possible binary encodings. We report on a clear deviation from the standard space-filling curves normally expected from such a process. We also contrast this behavior with others produced via a symbolic dynamics applied on standard noise sources as well as deterministic sequences produced by simple automata. Our findings include the well known, Morse-Thue sequence as the simplest model exhibiting such behavior apart from some strongly biased Levy walks.