Thesis supervisor: Attila Pethő
Location of studies (in Hungarian): Debreceni Egyetem Informatikai Kar Abbreviation of location of studies: DE IK
Description of the research topic:
The commonly known binary and decimal representation of integers have a lot of generalizations. The base can be chosen as an arbitrary integer or an algebraic integer or an arbitrary real number. In the last two cases we get the canonical number systems, introduces by Imre Kátai, as well as the ß-representations, introduced by Alfréd Rényi. Beside the base th eset of digits may very as well; it can include only the two elements 0 and 1 or we may choose it redundant, i.e. the representation of numbers is not unique. This subject gives good possibility to investigate dynamical sytems and fractals as well.
Bibliography
S. Akiyama, T. Borbély, H. Brunotte, A. Pethő, and J. M. Thuswaldner, Generalized radix representations and dynamical systems. I, Acta Math. Hungar., 108 (2005), pp. 207–238.
G. Barat, V. Berthé, P. Liardet, and J. Thuswaldner, Dynamical directions in numeration, Ann. Inst. Fourier (Grenoble), 56 (2006), pp. 1987–2092. Numération, pavages, substitutions.
Recommended language skills (in Hungarian): angol Number of students who can be accepted: 1
Deadline for application: 2018-02-16
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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