Markov chains, random walks, and card shuffling / by Nolan Outlaw.

Author/creator Outlaw, Nolan author.
Other author Ratcliff, Gail Dawn Loraine, degree supervisor.
Other author East Carolina University. Department of Mathematics.
Format Theses and dissertations
Publication[Greenville, N.C.] : [East Carolina University], 2016.
Description78 pages : illustrations
Supplemental ContentAccess via ScholarShip
Subjects

Summary A common question in the study of random processes pertains to card shuffling. Whether or not a deck of cards is random can have huge implications on any game being played with those particular cards. This thesis explores the question of randomness by using techniques established through analysis of Markov chains, random walks, computer simulations, and some basic shuffling models. Ultimately, the aim is to explore the cutoff phenomenon, which asserts that at some point during the shuffling process there is a sharp decline in the shuffled deck's distance from random.
General notePresented to the faculty of the Department of Mathematics.
General noteAdvisor: Gail Ratcliff.
General noteTitle from PDF t.p. (viewed July 29, 2015).
Dissertation noteM.A. East Carolina University 2016.
Bibliography noteIncludes bibliographical references.
Technical detailsSystem requirements: Adobe Reader.
Technical detailsMode of access: World Wide Web.

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