2000 character limit reached
Periodicity of certain piecewise affine planar maps
Published 27 Apr 2007 in math.DS, cs.DM, and math.NT | (0704.3674v3)
Abstract: We determine periodic and aperiodic points of certain piecewise affine maps in the Euclidean plane. Using these maps, we prove for $\lambda\in{\frac{\pm1\pm\sqrt5}2,\pm\sqrt2,\pm\sqrt3}$ that all integer sequences $(a_k){k\in\mathbb Z}$ satisfying $0\le a{k-1}+\lambda a_k+a_{k+1}<1$ are periodic.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.