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Stein's Method and Descents after Riffle Shuffles

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Stein's Method and Descents after Riffle Shuffles
2.	Creator	Author's name, affiliation, country	Jason Fulman; University of Pittsburgh, USA
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	Abstract. Berestycki and Durrett used techniques from random graph theory to prove that the distance to the identity after iterating the random transposition shuffle undergoes a transition from Poisson to normal behavior. This paper establishes an analogous result for distance after iterates of riffle shuffles or iterates of riffle shuffles and cuts. The analysis uses different tools: Stein's method and generating functions. A useful technique which emerges is that of making a problem more tractable by adding extra symmetry, then using Stein's method to exploit the symmetry in the modified problem, and from this deducing information about the original problem.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2005-07-14
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/268
10.	Identifier	Digital Object Identifier	10.1214/EJP.v10-268
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 10
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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