We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
We study two fundamental static data structure problems, membership and perfect hashing, in Yao's cell probe model. The first space and bit probe optimal worst case upper bou...
This paper considers the quantization problem on the Grassmann manifold Gn,p, the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space. The ch...
Abstract— Despite its simplicity (two controllers and otherwise LQG), Witsenhausen’s counterexample is one of the long-standing open problems in stochastic distributed control....
Abstract— We prove that given a nearly log-concave distribution, in any partition of the space to two well separated sets, the measure of the points that do not belong to these s...