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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