Christoffel Words

Martin Aigner
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Martin Aigner: Freie Universität Berlin, Fachbereich Mathematik und Informatik Institut für Mathematik

Chapter 7 in Markov's Theorem and 100 Years of the Uniqueness Conjecture, 2013, pp 135-157 from Springer

Abstract: Abstract We have seen in the previous chapter that Cohn matrices may be regarded as words W t in the free group SL( $$2, \mathbb{Z}$$ )’, generated by any starting pair A and B. In this chapter, we want to derive a beautiful geometric description of Cohn words that will prepare the ground for a combinatorial approach to Markov’s theorem. By this we mean the following: We know that for an irrational number α with Lagrange number L(α

Date: 2013
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DOI: 10.1007/978-3-319-00888-2_7

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