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Trees, Not Cubes: Hypercontractivity, Cosiness, and Noise Stability

   
@article{ECP1004,
	author = {Oded Schramm and Boris Tsirelson},
	title = {Trees, Not Cubes: Hypercontractivity, Cosiness, and Noise Stability},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {4},
	year = {1999},
	keywords = {hypercontractivity, cosiness, noise stability, noise sensitivity},
	abstract = {Noise sensitivity of functions on the leaves of a binary tree is studied, and a hypercontractive inequality is obtained. We deduce that the spider walk is not noise stable.},
	pages = {no. 6, 39-49},
	issn = {1083-589X},
	doi = {10.1214/ECP.v4-1004},    
        url = {http://ecp.ejpecp.org/article/view/1004}}