EJP Reading Tools

On the Shuffling Algorithm for Domino Tilings

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	On the Shuffling Algorithm for Domino Tilings
2.	Creator	Author's name, affiliation, country	Eric J. G. Nordenstam; Swedish Royal Institute of Technology (KTH); Sweden
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	random tilings; Brownian motion; random matrices;
3.	Subject	Subject classification	60C05; 60G50
4.	Description	Abstract	We study the dynamics of a certain discrete model of interacting interlaced particles that comes from the so called shuffling algorithm for sampling a random tiling of an Aztec diamond. It turns out that the transition probabilities have a particularly convenient determinantal form. An analogous formula in a continuous setting has recently been obtained by Jon Warren studying certain model of interlacing Brownian motions which can be used to construct Dyson's non-intersecting Brownian motion. We conjecture that Warren's model can be recovered as a scaling limit of our discrete model and prove some partial results in this direction. As an application to one of these results we use it to rederive the known result that random tilings of an Aztec diamond, suitably rescaled near a turning point, converge to the GUE minor process.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Supported by grant KAW 2005.0098 from the Knut and Alice Wallenberg Foundation and by the Göran Gustafsson foundation (KVA)
7.	Date	(YYYY-MM-DD)	2010-01-12
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/730
10.	Identifier	Digital Object Identifier	10.1214/EJP.v15-730
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 15
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
15.	Rights	Copyright and permissions	The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free to copy, distribute, display, and perform the work to make derivative works to make commercial use of the work under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.