A central limit theorem for the variation of the sum of digits
Author:
Affiliation:
1. LAMFA, Université de Picardie Jules Verne, CNRS UMR 7352, 33, rue Saint-Leu, 80000, Amiens, France
2. LMRS, Université de Rouen Normandie, CNRS UMR 6085, Avenue de l’Université, 76801, Saint Étienne du Rouvray, France
Publisher
Institute of Mathematical Statistics
Reference9 articles.
1. R. C. Bradley. Basic properties of strong mixing conditions. A survey and some open questions. Probab. Surv. 2 (2005) 107–144. Update of, and a supplement to, the 1986 original.
2. J. Bésineau. Indépendance statistique d’ensembles liés à la fonction “somme des chiffres”. In Séminaire de Théorie des Nombres, 1970–1971 (Univ. Bordeaux I, Talence), Exp. No. 21, 20 pp., Lab. Théorie des Nombres, 1971.
3. T. Downarowicz. Survey of odometers and Toeplitz flows. In Algebraic and Topological Dynamics 7–37. Contemp. Math. 385. Amer. Math. Soc., Providence, RI, 2005.
4. J. Emme and P. Hubert. Central limit theorem for probability measures defined by sum-of-digits function in base 2. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19 (2) (2019) 757–780.
5. J. Emme and A. Prikhod’ko. On the asymptotic behavior of density of sets defined by sum-of-digits function in base 2. Integers 17 (2017) Paper No. A58, 28.
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