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On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps with Some Applications |
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| Authors: | Elias Abboud |
| Institution: | The Academic Arab Institute, Faculty of Education, Beit Berl College, Doar Beit Berl 44905, Israel |
| 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 <β1β1>=<β2β2> where β1 and β2 are the greatest words in <<β1>> and <<β2>> of M(n). |
| Keywords: | Word equation broken alternating word primitive word greatest word parity-lexicographic order |
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