Weakly aperiodic Wang subshifts with minimal alphabet size on free groups.

RESUMEN Motivated by the work of E.Jeandel and M.Rao [1], where the authors establish the minimal amount of ℤ²-Wang tiles needed to produce a nonempty aperiodic ℤ²-Wang subshift to be 11, as well as the article of Piantadosi [2] which develops some aspects of symbolic dynamics on free groups related to aperiodicity, we study Wang subshifts on (k). We obtain that the minimal amount of Wang tiles needed to generate a nonempty weakly aperiodic Wang subshift on (k) is 3, and characterize every such example.

Posted on Sep 29, 2025 in Dynamical Systems, News, Seminars