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Particle systems with repulsion exponent $\beta$ and random matrices


 
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1. Title Title of document Particle systems with repulsion exponent $\beta$ and random matrices
 
2. Creator Author's name, affiliation, country Martin Venker; Bielefeld University; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Universality; $\beta$-Ensembles; Random Matrices; Repulsion
 
3. Subject Subject classification 15B52; 60B20; 82C22
 
4. Description Abstract We consider a class of particle systems generalizing the $\beta$ Ensembles from random matrix theory. In these new ensembles, particles experience repulsion of power $\beta>0$ when getting close, which is the same as in the $\beta$-Ensembles. For distances larger than zero, the interaction is allowed to differ from those present for random eigenvalues. We show that the local bulk correlations of the $\beta$-Ensembles, universal in random matrix theory, also appear in these new ensembles.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) CRC 701
 
7. Date (YYYY-MM-DD) 2013-11-03
 
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/2864
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2864
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
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