The dynamics of Super-Apollonian continued fractions

DOI10.1090/tran/7372zbMath1436.11011arXiv1703.08616OpenAlexW2962900954WikidataQ129617265 ScholiaQ129617265MaRDI QIDQ5227952

Katherine E. Stange, Sneha Chaubey, Elena Fuchs, Robert Hines

Publication date: 7 August 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08616

zbMATH Keywords

orthogonal groupquadratic formdynamical systeminvariant measuregeodesic flowcontinued fractionsergodic theoryhyperbolic isometryMöbius transformationApollonian circle packingPythagorean tripleDescartes quadrupleBianchi groupprojective linear groupinvertible extensionLorentz quadruple

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Continued fractions and generalizations (11J70) Continued fractions (11A55) Circle packings and discrete conformal geometry (52C26) Relations between ergodic theory and number theory (37A44) Quasiconformal methods in holomorphic dynamics; quasiconformal dynamics (37F31)

Related Items (3)

Number theoretical properties of Romik's dynamical system ⋮ Quadratic forms and their Berggren trees ⋮ Finite Gauss transformations

Uses Software

• Mathematica
• SageMath

Cites Work

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