Large deviations principles for Markov chains and for strongly additive arithmetic functions

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Yılmaz Atilla.
dc.contributor.author	Yenisey, Mehmet.
dc.date.accessioned	2023-03-16T11:21:40Z
dc.date.available	2023-03-16T11:21:40Z
dc.date.issued	2015.
dc.description.abstract	Large deviations is a branch of probability theory with far-reaching applications in other elds of science and can be described to the layperson as the study of \very rare" events. We provide a modest introduction to the subject with an emphasis on large deviations behavior of continuous-time Markov chains and we present a recent result on large deviations related to the Erd}os-Kac theorem on the number of distinct prime factors of a uniformly chosen random natural number less than or equal to n.
dc.format.extent	30 cm.
dc.format.pages	vii, 66 leaves ;
dc.identifier.other	MATH 2015 Y46
dc.identifier.uri	https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15279
dc.publisher	Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015.
dc.subject.lcsh	Markov processes.
dc.title	Large deviations principles for Markov chains and for strongly additive arithmetic functions

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