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

   
@article{ECP2864,
	author = {Martin Venker},
	title = {Particle systems with repulsion exponent $\beta$ and random matrices},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Universality; \$\beta\$-Ensembles; Random Matrices; Repulsion},
	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.},
	pages = {no. 83, 1-12},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2864},    
        url = {http://ecp.ejpecp.org/article/view/2864}}