ODT - THESIS TOPIC: Pál Burai: Quasi-arithmetic expressions


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Thesis topic proposal

Quasi-arithmetic expressions

THESIS TOPIC PROPOSAL

Institute: Budapest University of Technology and Economics
mathematics and computing
Doctoral School of Mathematics and Computer Sciences

Thesis supervisor: Pál Burai
Location of studies (in Hungarian): BME, Faculty of Science, Institute of Mathematics, Department of Differential Equations
Abbreviation of location of studies: BME

Description of the research topic:

The class of quasi-arithmetic expressions is a far generalization of the class of quasiarithmetic means. These maps can behave quite pathologically, and they are not necessarily continuous.
A possible applicant should learn first the theory of quasi-arithmetic means.
Research task should be the characterization of quasi-arithmetic expressions, finding the homogeneous and the translative members of this class. The comparability problem is also open. Moreover, problems involving the Gauss composition of such functions can be also interesting.

Required language skills: English
Further requirements:
Thorough knowledge in real analysis, some knowledge in real function theory and algebra

Deadline for application: 2024-05-31

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).