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University of Manitoba

1. Breen, Jane. Markov chains under combinatorial constraints: analysis and synthesis.

Degree: Mathematics, 2018, University of Manitoba

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. Advisors/Committee Members: Kirkland, Steve (Mathematics) (supervisor), McDonald, Judith (Washington State University) (examiningcommittee), Wang, Xikui (Statistics) (examiningcommittee), Doob, Michael (Mathematics) (examiningcommittee), Craigen, Robert (Mathematics) (examiningcommittee).

Subjects/Keywords: Directed graph; Markov chain; Stochastic matrix

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Breen, J. (2018). Markov chains under combinatorial constraints: analysis and synthesis. (Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/33182

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Breen, Jane. “Markov chains under combinatorial constraints: analysis and synthesis.” 2018. Thesis, University of Manitoba. Accessed October 19, 2018. http://hdl.handle.net/1993/33182.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Breen, Jane. “Markov chains under combinatorial constraints: analysis and synthesis.” 2018. Web. 19 Oct 2018.

Vancouver:

Breen J. Markov chains under combinatorial constraints: analysis and synthesis. [Internet] [Thesis]. University of Manitoba; 2018. [cited 2018 Oct 19]. Available from: http://hdl.handle.net/1993/33182.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Breen J. Markov chains under combinatorial constraints: analysis and synthesis. [Thesis]. University of Manitoba; 2018. Available from: http://hdl.handle.net/1993/33182

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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