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Upper bound on the expected size of the intrinsic ball

   
@article{ECP1553,
	author = {Artem Sapozhnikov},
	title = {Upper bound on the expected size of the intrinsic ball},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {15},
	year = {2010},
	keywords = {Critical percolation; high-dimensional percolation; triangle condition; chemical distance; intrinsic ball},
	abstract = {We give a short proof of Theorem 1.2 (i) from the paper "The Alexander-Orbach conjecture holds in high dimensions" by G. Kozma and A. Nachmias. We show that the expected size of the intrinsic ball of radius $r$ is at most $Cr$ if the susceptibility exponent is at most 1. In particular, this result follows if the so-called triangle condition holds.},
	pages = {no. 28, 297-298},
	issn = {1083-589X},
	doi = {10.1214/ECP.v15-1553},    
        url = {http://ecp.ejpecp.org/article/view/1553}}