Abboud, Elias, On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps with Some Applications, Acta mathematica Sinica. English series (Print) , 34(11), 2018, pp. 1663-1676
In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we characterize all the cases for which <.1..1>=<.2..2> where .1 and .2 are the greatest words in ..1. and ..2. of M(n).