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Transportation Approach to Some Concentration Inequalities in Product Spaces
Concentration Inequalities Product Spaces Transportation
2009/5/12
Let P be any product (Borel) probability measure on product (Polish) space E and for vectors x,y,z in E let f(x,y,z) be the number of coordinates k for which x_k neither equals y_k nor z_k. Using a tr...
Threshold phenomena on product spaces:BKKKL revisited(once more)
Threshold phenomena product spaces
2009/3/19
We revisit the work of Bourgain et al. (1992) -- referred to as ``BKKKL'' in the title -- about influences on Boolean functions in order to give a precise statement of threshold phenomenon on the prod...