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Rate of Escape of the Mixer Chain


 
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1. Title Title of document Rate of Escape of the Mixer Chain
 
2. Creator Author's name, affiliation, country Ariel Yadin; Weizmann Institute
 
3. Subject Discipline(s)
 
3. Subject Keyword(s)
 
3. Subject Subject classification 60J10, 60B15
 
4. Description Abstract The mixer chain on a graph $G$ is the following Markov chain. Place tiles on the vertices of $G$, each tile labeled by its corresponding vertex. A "mixer" moves randomly on the graph, at each step either moving to a randomly chosen neighbor, or swapping the tile at its current position with some randomly chosen adjacent tile. We study the mixer chain on $\mathbb{Z}$, and show that at time $t$ the expected distance to the origin is $t^{3/4}$, up to constants. This is a new example of a random walk on a group with rate of escape strictly between $t^{1/2}$ and $t$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-08-26
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1474
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1474
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
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