On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps with Some Applications

Authors
Abboud, Elias
Citation
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
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
11
Year of publication
2018
Pages
1663 - 1676
Database
ACNP
SICI code
Abstract
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).