The proof of the l2 Decoupling Conjecture by Jean Bourgain and Ciprian Demeter (2015, 10.4007/annals.2015.182.1.9)

Publisher full text: annals.math.princeton.edu/wp-content/uploads/annals-v182-n1-p09-p.pdf

Archive: arxiv.org/abs/1403.5335

Annals of Mathematics182(2015),351–389. Consulted Theorem1.1, printed p352, and cap definition on pp351–352. For the parabola, set n=2 and delta=1/R; the supercritical loss is R raised to1/4 minus3/(2p), with an arbitrarily small additional exponent.