Octagonal continued fraction and diagonal changes

2020/10/09 by Mauro Artigiani, Artigiani, Mauro
Mathematics · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2010.04670

openalex publication_date 2020/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note we show that the octagon Farey map introduced by Smillie and Ulcigrai is an acceleration of the diagonal changes algorithm introduced by Delecroix and Ulcigrai.

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