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.identifier.other	MATH 2015 Y46
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15279
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.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
dc.format.pages	vii, 66 leaves ;