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

Basic illustrations associated with continued fractions

By Pierre Arnoux

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).

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

published on May 19, 2026

Lift and patterns in the Spectre tilings

By Arnaud Chéritat

published on May 19, 2026

What Color Should This Pixel Be?

By Roice Nelson

published on May 19, 2026

Entangling Numbers and Knots via Sphere Packings

By Iván Rasskin

published on May 19, 2026

Interactivity, Fidelity, and Polish: Building Modern Math Illustration

By Cruz Godar

published on May 19, 2026

Visualizing Elliptic Curves over Finite Fields

By Stephen Trettel

published on May 19, 2026

Sonification in number theory: listening to the Riemann zeta function

By Jonathan Love

published on May 19, 2026

Connectivity of Markoff and Nielsen graphs

By Daniel Martin

published on May 19, 2026

Dots and Laurent Series

By Jayadev Athreya

published on May 19, 2026

The mathematics of making pictures of lattices

By Edmund Harriss

published on May 19, 2026

A Few Attempts at Visualizing Shimura Varieties

By Sean Gonzales

$Basic illustrations associated with continued fractions$

published on May 19, 2026

Basic illustrations associated with continued fractions

By Pierre Arnoux

published on May 19, 2026

A Selection from Forty Years of Illustrating Mathematical Results

By Robert Corless

published on May 19, 2026

Aperiodic tilings and polygonal partitions of the torus

By Sébastien Labbé

Classifying integer hypertilings

By Ian Short

published on May 19, 2026

Initial regularity in the landscapes of L-functions

By Sally Koutsoliotas

published on May 19, 2026

Finite capture and the closure of roots of restricted polynomials

By Bernat Espigule

published on May 19, 2026

Unintentional illustration

By Anna Felikson

published on May 19, 2026

Implicitization in Real Time

By Gabriel Dorfsman-Hopkins

Copyright Carmin.tv 2026

Give feedback