Expansions in Cantor real bases and alternate bases: Combinatorial, algebraic and ergodic properties

Expansions of real number; Cantor real base; Alternate base; Greedy algorithm; Lazy algorithm; Parry’s theorem; Subshift; Sofic system; Bertrand-Mathis’ theorem; Pisot number; Spectrum; Normalization; Büchi automaton; Measure theory; Ergodic theory; Dynamical system

Disciplines :

Mathematics

Author, co-author :

Cisternino, Célia ; Université de Liège - ULiège > Mathematics

Language :

English

Title :

Expansions in Cantor real bases and alternate bases: Combinatorial, algebraic and ergodic properties

Defense date :

07 June 2022

Institution :

ULiège - Université de Liège [Sciences], Liège, Belgium

Degree :

Docteur en Sciences

Promotor :

Charlier, Emilie ; Université de Liège - ULiège > Mathematics

President :

Leroy, Julien ; Université de Liège - ULiège > Mathematics

Secretary :

Rigo, Michel ; Université de Liège - ULiège > Département de mathématique

Jury member :

Allouche, Jean-Paul; Sorbonne Université > Mathématiques > Équipe Combinatoire et Optimisation

Kalle, Charlène; Universiteit Leiden > Mathematisch Instituut

Kraaikamp, Cor; Technische Universiteit Delft > Delft Institute of Applied Mathematics > Electrical Engineering, Mathematics and Computer Science

Masáková, Zuzana; Czech Technical University > Department of Mathematics & Doppler institute for Mathematical Physics and Applied Mathematics

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]

Funding number :

1.A.564.19F

Available on ORBi :

since 19 April 2022

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