We define a combinatorial checkerboard to be a function f : {1, . . . , m}d {1, -1} of the form f(u1, . . . , ud) = d i=1 fi(ui) for some functions fi : {1, . . . , m} {1, -1}. T...
A common subproblem of DNF approximate counting and derandomizing RL is the discrepancy problem for combinatorial rectangles. We explicitly construct a poly(n)-size sample space t...
Roy Armoni, Michael E. Saks, Avi Wigderson, Shiyu ...
We study probabilistic bit-probe schemes for the membership problem. Given a set A of at most n elements from the universe of size m we organize such a structure that queries of t...
We present a formal model and a simple architecture for robust pseudorandom generation that ensures resilience in the face of an observer with partial knowledge/control of the gen...
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...