2011/08/31 by Benedict Freedman, Freedman, Benedict
Computer Science · Mathematics · #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math.DS
paper · pdf · doi:10.48550/arxiv.1109.0051
This paper has been difficult for later researchers to locate. Zhenghan Wang kindly reformated it to be available to arXiv readers; Scripta Mathematica vol. 14, 1948
arxiv created 2011/08/31 · openalex publication_date 2011/08/31 · arxiv updated 2011/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Taking the absolute value of consecutive differences of a cyclicly ordered list of integers constitutes a simple dynamical system. For lists of lenght a power of two the process will terminate in all zeros, but examples with arbitarily long "lives" can be generated. For other lenghts the system can be asymptotically cyclic.