Basic illustrations associated with continued fractions

Appears in collection : 2026 - T1 - WS3 - Integrating Research and Illustration in Number Theory

I will propose a number of illustrations, many of them very elementary, and many of them of a dynamical nature, which have guided my research on continued fractions for many years.

Information about the video

Date of recording 26/03/2026
Date of publication 19/05/2026
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students, Students
Director(s) Service audiovisuel de l'IHP
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2026.T1.WS3.011
Cite this video Arnoux, Pierre (26/03/2026). Basic illustrations associated with continued fractions. IHP. Audiovisual resource. DOI: 10.57987/IHP.2026.T1.WS3.011
URL https://dx.doi.org/10.57987/IHP.2026.T1.WS3.011

Domain(s)

Dynamical Systems

Bibliography

Pierre Arnoux : Le flot géodésique sur la surface modulaire, l'enseignement mathématique.
Pierre Arnoux et Arnaldo Nogueira : Mesures de gauss pour des algorithmes de fractions continues multidimesionnelles / Annales de l'ENS.
Arnoux, Pierre et Schmidt, Thomas : A Natural extensions and Gauss measures for piecewise homographic continued fractions. (Extensions naturelles et mesures de Gauss pour des algorithmes de fraction continues homographiques par morceaux.) (English. French summary) Zbl 1432.37065 Bull. Soc. Math. Fr. 147, No. 3, 515-544 (2019).