Dimension Free Weak Concentration of Measure Phenomenon

For product probability measures n , we obtain necessary and suucient conditions (in terms of) for dimension free isoperimetric inequalities of the form n (A + h?1; 1] n) R h (n (A)) to hold; for a function R such that R(p) > p, for all (some) p 2 (0; 1), and for h > 0 large enough. Some questions related to the concentration of measure phenomenon are also… CONTINUE READING