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Symmetric exclusion as a model of non-elliptic dynamical random conductances

   
@article{ECP2081,
	author = {Luca Avena},
	title = {Symmetric exclusion as a model of non-elliptic dynamical random conductances},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {Random conductances; law of large numbers; invariance principle; exclusion process},
	abstract = { 
We consider a finite range symmetric exclusion process on the integer lattice in any dimension. We interpret it as a non-elliptic time-dependent random conductance model by setting conductances equal to one over the edges with end points occupied by particles of the exclusion process and to zero elsewhere. We prove a law of large number and a central limit theorem for the random walk driven by such a dynamical field of conductances using the Kipnis-Varhadan martingale approximation. Unlike the tagged particle in the exclusion process, which is in some sense similar to this model, this random walk is diffusive even in the one-dimensional nearest-neighbor symmetric case.
},
	pages = {no. 44, 1-8},
	issn = {1083-589X},
	doi = {10.1214/ECP.v17-2081},    
        url = {http://ecp.ejpecp.org/article/view/2081}}