We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
We continue the study of the linear complexity of binary sequences, independently introduced by Sidel'nikov and Lempel, Cohn, and Eastman. These investigations were originated...
A new method for obtaining lower bounds for spherical t-designs is proposed. Applications and new bounds are given for t = 9, 10. Some restrictions on the distribution of the inne...
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...