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dc.contributor.supervisor Kirkland, Steve (Mathematics) en_US
dc.contributor.author Breen, Jane
dc.date.accessioned 2018-07-30T14:22:01Z
dc.date.available 2018-07-30T14:22:01Z
dc.date.issued 2018-07-13 en_US
dc.date.submitted 2018-05-18T17:16:26Z en
dc.identifier.citation Breen, Jane, and Steve Kirkland. "Stationary vectors of stochastic matrices subject to combinatorial constraints." Electronic Journal of Linear Algebra 28, (2015): 4. en_US
dc.identifier.citation Breen, Jane, and Steve Kirkland. "Minimising the largest mean first passage time of a Markov chain: The influence of directed graphs." Linear Algebra and its Applications 520 (2017): 306-334. en_US
dc.identifier.uri http://hdl.handle.net/1993/33182
dc.description.abstract A finite, discrete-time, time-homogeneous Markov chain is a type of mathematical model used to describe dynamical systems which transition between a finite number of possible states in discrete time increments. A Markov chain model may be used in a wide range of applications, such as urban road traffic, computational drug design, and the spread of disease. In many such applications, there are existing constraints on the structure of the underlying network dictating which transitions are possible, and which are not. In this thesis, the influence of these combinatorial constraints on the behaviour of a Markov chain is explored. en_US
dc.publisher Elsevier en_US
dc.publisher Electronic Journal of Linear Algebra en_US
dc.subject Directed graph en_US
dc.subject Markov chain en_US
dc.subject Stochastic matrix en_US
dc.title Markov chains under combinatorial constraints: analysis and synthesis en_US
dc.degree.discipline Mathematics en_US
dc.contributor.examiningcommittee McDonald, Judith (Washington State University) en_US
dc.contributor.examiningcommittee Wang, Xikui (Statistics) en_US
dc.contributor.examiningcommittee Doob, Michael (Mathematics) en_US
dc.contributor.examiningcommittee Craigen, Robert (Mathematics) en_US
dc.degree.level Doctor of Philosophy (Ph.D.) en_US
dc.description.note October 2018 en_US


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