Approximation pathologies for certain continued fractions

2013/11/06 by Avraham Bourla, Bourla, Avraham
Mathematics · #Functional Equations Stability Results #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #math.NT

paper · pdf · doi:10.48550/arxiv.1311.1487

arxiv created 2013/11/06 · arxiv updated 2013/11/07

Abstract

We will provide a family of continued fractions for which there is no correspondence between dynamic and approximation pairs, leading to an anomaly in their corresponding Spaces of Jager Pairs.

Related

• Bounding differences in Jager Pairs
• Sequences and dynamical systems associated with canonical approximation by rationals
• Arithmetic diophantine approximation for continued fractions-like maps on the interval
• Solving for best linear approximates
• Tong's spectrum for Rosen continued fractions