For 0 < 𝛼 < 1 let 𝑉(𝛼) denote the supremum of the numbers 𝜐 such that every 𝛼-Hölder continuous function is of bounded variation on a set of Hausdorff dimension 𝜐. Kahane and Katznelson (2009) ...
We show that a locally compact group G has equivalent right and left uniform structures if (and only if) the sets of bounded, complex-valued, right and left uniformly ...
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 ...