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. |
| Description | 78 pages : illustrations |
| Supplemental Content | Access 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 note | Presented to the faculty of the Department of Mathematics. |
| General note | Advisor: Gail Ratcliff. |
| General note | Title from PDF t.p. (viewed July 29, 2015). |
| Dissertation note | M.A. East Carolina University 2016. |
| Bibliography note | Includes bibliographical references. |
| Technical details | System requirements: Adobe Reader. |
| Technical details | Mode of access: World Wide Web. |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |