论文标题

(最终)树突词的形态图像的某些特性

Some properties of morphic images of (eventually) dendric words

论文作者

Gheeraert, France

论文摘要

(最终)树突词的类别概括了众所周知的家庭,例如Arnoux-rauzy单词或间隔交换的编码。关于树突和形态之间的联系仍然有许多公开问题。在本文中,我们关注两个问题。第一个是将非渗透形态应用于最终的dendric单词时的因素复杂性的演变。接下来,我们看一下为所有树枝状词保留树突状态的形态,并表明它们正是Arnoux-rauzy形态产生的形态。

The class of (eventually) dendric words generalizes well-known families such as the Arnoux-Rauzy words or the codings of interval exchanges. There are still many open questions about the link between dendricity and morphisms. In this paper, we focus on two questions. The first one is the evolution of the factor complexity when applying a non-erasing morphism to an eventually dendric word. We next look at the morphisms that preserve dendricity for all dendric words and show that they are exactly those generated by the Arnoux-Rauzy morphisms.

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