We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
The inverse gradient problem, finding a scalar field f with a gradient near a given vector field g on some bounded and connected domain Rn , can be solved by means of a Poisson ...
Hyperbolic cross approximations by some classical orthogonal polynomials/functions in both bounded and unbounded domains are considered in this paper. Optimal error estimates in pr...
Combinatorial auctions, where bidders can bid on bundles of items are known to be desirable auction mechanisms for selling items that are complementary and/or substitutable. Howev...
— We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenva...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...