Two infinite families of self-similar tilings are described which have apparently not been reported before. Each tiling is based on a single prototile that is a segment of a regul...
We study the problem of finding an outlier-free subset of a set of points (or a probability distribution) in n-dimensional Euclidean space. As in [BFKV 99], a point x is defined t...
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
In this paper we analyze the behavior of quantum random walks. In particular we present several new results for the absorption probabilities in systems with both one and two absor...
Andris Ambainis, Eric Bach, Ashwin Nayak, Ashvin V...
We consider static one dimensional range searching problems. These problems are to build static data structures for an integer set S U, where U = {0, 1, . . . , 2w - 1}, which su...
We consider two-player games played for an infinite number of rounds, with -regular winning conditions. The games may be concurrent, in that the players choose their moves simulta...
Recently Rothemund and Winfree 6] have considered the program size complexity of constructing squares by selfassembly. Here, we consider the time complexity of such constructions ...
Leonard M. Adleman, Qi Cheng, Ashish Goel, Ming-De...
Given a matrix A, it is often desirable to find a good approximation to A that has low rank. We introduce a simple technique for accelerating the computation of such approximation...