2026 - T1 - WS3 - Integrating Research and Illustration in Number Theory

Collection 2026 - T1 - WS3 - Integrating Research and Illustration in Number Theory

Organizer(s) Caruso, Xavier ; Eischen, Ellen ; Hsu, Catherine ; Stange, Katherine E.
Date(s) 23/03/2026 - 27/03/2026
linked URL https://indico.math.cnrs.fr/event/16261/
12 20

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

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)

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).

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