We present a (non-standard) probabilistic analysis of dynamic data structures whose sizes are considered as dynamic random walks. The basic operations (insertion, deletion, positi...
Abstract. We prove that, for any arbitrary finite alphabet and for the uniform distribution over deterministic and accessible automata with n states, the average complexity of Moo...
We show1 that non-deterministic time NTIME(n) is not contained in deterministic time n 2and polylogarithmic space, for any > 0. This implies that (infinitely often) satisfiabi...
—A simple averaging argument shows that given a randomized algorithm A and a function f such that for every input x, Pr[A(x) = f(x)] ≥ 1−ρ (where the probability is over the...
Randomness extractors convert weak sources of randomness into an almost uniform distribution; the conversion uses a small amount of pure randomness. In algorithmic applications, t...