Ergodic theory of simple continued fractions
dc.contributor.advisor | Knutson, Inger Joahnne | |
dc.contributor.author | Tesfay, Merhawi | |
dc.date.accessioned | 2022-07-07T16:23:10Z | |
dc.date.available | 2022-07-07T16:23:10Z | |
dc.date.issued | 2022 | |
dc.identifier | no.uia:inspera:109990702:37925606 | |
dc.identifier.uri | https://hdl.handle.net/11250/3003569 | |
dc.description | Full text not available | |
dc.description.abstract | This thesis combines two fields of mathematics: number theory and ergodic theory (as part of dynamical systems). We study a special representation of numbers throughout the thesis: the simple continued fraction. We further investigate how simple continued fractions play a central role in approximating real numbers by rational numbers in the theory of Diophantine approximation. Simple continued fractions are also connected to a special measure-preserving transformation on [0, 1). Using ergodic theory results, we prove many properties of continued fractions. | |
dc.description.abstract | ||
dc.language | ||
dc.publisher | University of Agder | |
dc.title | Ergodic theory of simple continued fractions | |
dc.type | Master thesis |
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Master's theses in Mathematics [19]
MA503