WHAT is the theory of functions about? This question may be heard now and again from a mathematical student; and if, by way of a pattial reply, it be said that the elements of the theory of functions ...

We give a characterization of the extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov’s inequality. In fact we prove that they ...

The Annals of Probability, Vol. 36, No. 1 (Jan., 2008), pp. 143-159 (17 pages) It is shown that functions defined on {0, 1,..., r - 1}ⁿ satisfying certain conditions of bounded differences that ...

The benchmark tests show that the noise-free realization of QA can significantly outperform state-of-the-art classical algorithms. Quantum annealing (QA) is a cutting-edge algorithm that leverages the ...