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Spectral gap for the interchange process in a box


 
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1. Title Title of document Spectral gap for the interchange process in a box
 
2. Creator Author's name, affiliation, country Ben Morris; UC Davis
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) spectral gap, interchange process
 
3. Subject Subject classification 60J25
 
4. Description Abstract We show that the spectral gap for the interchange process (and the symmetric exclusion process) in a $d$-dimensional box of side length $L$ is asymptotic to $\pi^2/L^2$. This gives more evidence in favor of Aldous's conjecture that in any graph the spectral gap for the interchange process is the same as the spectral gap for a corresponding continuous-time random walk. Our proof uses a technique that is similar to that used by Handjani and Jungreis, who proved that Aldous's conjecture holds when the graph is a tree.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Sloan Foundation, National Science Foundation
 
7. Date (YYYY-MM-DD) 2008-06-17
 
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/1381
 
10. Identifier Digital Object Identifier 10.1214/ECP.v13-1381
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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