Hania Uscka Wehlou - Profile on Academia.edu (original) (raw)
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Papers by Hania Uscka Wehlou
In this paper we define Sturmian words with balanced construction. We formulate a fixed-point the... more In this paper we define Sturmian words with balanced construction. We formulate a fixed-point theorem for Sturmian words and analyze the set of all fixed points. The inspiration for this work came from the Kolakoski word and the general idea of self-reading sequences by Pȃun and Salomaa. The basis for this article is the author's earlier research on the influence of the continued fraction elements in the expansion of a ∈ ]0, 1[\Q on the construction of runs for the upper mechanical word with slope a and intercept 0.
Thesis (mathematics) by Hania Uscka Wehlou
A doctoral thesis in digital geometry and word theory
In this paper we define Sturmian words with balanced construction. We formulate a fixed-point the... more In this paper we define Sturmian words with balanced construction. We formulate a fixed-point theorem for Sturmian words and analyze the set of all fixed points. The inspiration for this work came from the Kolakoski word and the general idea of self-reading sequences by Pȃun and Salomaa. The basis for this article is the author's earlier research on the influence of the continued fraction elements in the expansion of a ∈ ]0, 1[\Q on the construction of runs for the upper mechanical word with slope a and intercept 0.
A doctoral thesis in digital geometry and word theory