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Lower bound estimate of the spectral gap for simple exclusion process with degenerate rates

   
@article{EJP1916,
	author = {Yukio Nagahata},
	title = {Lower bound estimate of the spectral gap for simple exclusion process with degenerate rates},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {17},
	year = {2012},
	keywords = {exclusion process; degenerate rate; spectral gap},
	abstract = {We consider exclusion process with degenerate rates  in a finite torus with size $n$. This model is a simplified model for some peculiar phenomena of the "glassy" dynamics. We prove that the spectral gap is bounded below by $C\rho^4/n^2$, where $\rho = k/n$ denotes the density of particle and $C$ does not depend on $n$ nor $\rho$.},
	pages = {no. 92, 1-19},
	issn = {1083-6489},
	doi = {10.1214/EJP.v17-1916},    
        url = {http://ejp.ejpecp.org/article/view/1916}}