## One world numeration seminar

Le calendrier des séances (format iCal).

Pour ajouter le calendrier des séances à votre agenda favori, souscrire au calendrier en indiquant ce lien.

#### Contact(s)

This is an international online seminar on numeration systems and related topics. If you want to participate, please write to numeration@irif.fr. For more information, in particular slides and videos of past talks, visit Numeration - OWNS homepage.

### Prochaines séances

One world numeration seminar

Mardi 1 décembre 2020, 14 heures 30, Online

**Michael Barnsley** (Australian National University) *Rigid fractal tilings*

One world numeration seminar

Mardi 8 décembre 2020, 14 heures 30, Online

**Tanja Isabelle Schindler** (Scuola Normale Superiore di Pisa) *Limit theorems on counting large continued fraction digits*

### Séances passées

#### Année 2020

One world numeration seminar

Mardi 17 novembre 2020, 14 heures 30, Online

**Jacques Sakarovitch** (IRIF, CNRS et Télécom Paris) *The carry propagation of the successor function*

In the case of the usual base p numeration system, it can be shown that the limit indeed exists and is equal to p/(p-1). We recover a similar value for those numeration systems we consider and for which the limit exists. The problem is less the computation of the carry propagation than the proof of its existence. We address it for various kinds of numeration systems: abstract numeration systems, rational base numeration systems, greedy numeration systems and beta-numeration. This problem is tackled with three different types of techniques: combinatorial, algebraic, and ergodic, each of them being relevant for different kinds of numeration systems.

This work has been published in Advances in Applied Mathematics 120 (2020). In this talk, we shall focus on the algebraic and ergodic methods.

Joint work with V. Berthé (Irif), Ch. Frougny (Irif), and M. Rigo (Univ. Liège).

One world numeration seminar

Mardi 10 novembre 2020, 14 heures 30, Online

**Pieter Allaart** (University of North Texas) *On the smallest base in which a number has a unique expansion*

One world numeration seminar

Mardi 3 novembre 2020, 14 heures 30, Online

**Tomáš Vávra** (University of Waterloo) *Distinct unit generated number fields and finiteness in number systems*

One world numeration seminar

Mardi 27 octobre 2020, 14 heures 30, Online

**Mélodie Andrieu** (Aix-Marseille University) *A Rauzy fractal unbounded in all directions of the plane*

One world numeration seminar

Mardi 20 octobre 2020, 14 heures 30, Online

**Paul Surer** (University of Natural Resources and Life Sciences, Vienna) *Representations for complex numbers with integer digits*

One world numeration seminar

Mardi 13 octobre 2020, 14 heures 30, Online

**Kan Jiang** (Ningbo University) *Representations of real numbers on fractal sets*

One world numeration seminar

Mardi 6 octobre 2020, 14 heures 30, Online

**Francesco Veneziano** (University of Genova) *Finiteness and periodicity of continued fractions over quadratic number fields*

One world numeration seminar

Mardi 29 septembre 2020, 14 heures 30, Online

**Marta Maggioni** (Leiden University) *Random matching for random interval maps*

One world numeration seminar

Mardi 22 septembre 2020, 14 heures 30, Online

**Yotam Smilansky** (Rutgers University) *Multiscale Substitution Tilings*

One world numeration seminar

Mardi 15 septembre 2020, 14 heures 30, Online

**Jeffrey Shallit** (University of Waterloo) *Lazy Ostrowski Numeration and Sturmian Words*

One world numeration seminar

Mardi 8 septembre 2020, 14 heures 30, Online

**Bing Li** (South China University of Technology) *Some fractal problems in beta-expansions*

One world numeration seminar

Mardi 1 septembre 2020, 14 heures 30, Online

**Bill Mance** (Adam Mickiewicz University in Poznań) *Hotspot Lemmas for Noncompact Spaces*

One world numeration seminar

Mardi 14 juillet 2020, 14 heures 30, Online

**Attila Pethő** (University of Debrecen) *On diophantine properties of generalized number systems - finite and periodic representations*

One world numeration seminar

Mardi 7 juillet 2020, 14 heures 30, Online

**Hajime Kaneko** (University of Tsukuba) *Analogy of Lagrange spectrum related to geometric progressions*

One world numeration seminar

Mardi 30 juin 2020, 14 heures 30, Online

**Niels Langeveld** (Leiden University) *Continued fractions with two non integer digits*

One world numeration seminar

Mardi 23 juin 2020, 14 heures 30, Online

**Derong Kong** (Chongqing University) *Univoque bases of real numbers: local dimension, Devil's staircase and isolated points*

One world numeration seminar

Mardi 16 juin 2020, 14 heures 30, Online

**Carlos Matheus** (CNRS, École Polytechnique) *Approximations of the Lagrange and Markov spectra*

One world numeration seminar

Mardi 9 juin 2020, 14 heures 30, Online

**Simon Baker** (University of Birmingham) *Equidistribution results for self-similar measures*

One world numeration seminar

Mardi 2 juin 2020, 14 heures 30, Online

**Henna Koivusalo** (University of Vienna) *Linear repetition in polytopal cut and project sets*

One world numeration seminar

Mardi 26 mai 2020, 14 heures 30, Online

**Célia Cisternino** (University of Liège) *Ergodic behavior of transformations associated with alternate base expansions*

One world numeration seminar

Mardi 19 mai 2020, 14 heures 30, Online

**Boris Solomyak** (University of Bar-Ilan) *On singular substitution Z-actions*

One world numeration seminar

Mardi 12 mai 2020, 14 heures 30, Online

**Olivier Carton** (Université de Paris) *Preservation of normality by selection*

One world numeration seminar

Mardi 5 mai 2020, 14 heures 30, Online

**Narad Rampersad** (University of Winnipeg) *Ostrowski numeration and repetitions in words*