Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $\mathbb R^2$

Alessio Del Vigna,Claudio Bonanno

doi:10.4064/aa200820-3-3

Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $\mathbb R^2$

Alessio Del Vigna, Claudio Bonanno

Open Access

https://doi.org/10.4064/aa200820-3-3

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Journal: Acta Arithmetica	Publication Date: Jan 1, 2021
Citations: 1

Affiliation: INFN Sezione di Pisa, University of Pisa

#Stern Brocot Tree #Diophantine Approximation + Show 5 more

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Abstract

We study the properties of the <i>Triangular Tree</i>, a complete tree of rational pairs introduced by Bonanno et al. (2021), in analogy with the main properties of the Farey tree (or Stern–Brocot tree). To our knowledge the Triangular Tree is the first g

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