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Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model

   
@article{EJP839,
	author = {Omar Boukhadra},
	title = {Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Markov chains, Random walk, Random environments, Random conductances, Percolation.},
	abstract = {We study models of continuous-time, symmetric random walks in random environment on the d-dimensional integer lattice, driven by a field of i.i.d random nearest-neighbor conductances bounded only from above with a power law tail near 0. We are interested in estimating the quenched asymptotic behavior of the on-diagonal heat-kernel. We show that the spectral dimension is standard when we lighten sufficiently the tails of the conductances.  As an expected consequence, the same result holds for the discrete-time case.},
	pages = {no. 68, 2069-2086},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-839},    
        url = {http://ejp.ejpecp.org/article/view/839}}