Approximating the stationary probability of a state in a Markov chain through Markov chain Monte Carlo techniques is, in general, inefficient. Standard random walk approaches require Õ(τ/π(v)) operations to approximate the probability π(v) of a state v in a chain with mixing time τ , and even the best available techniques still have complexity Õ(τ/π(v)); and since these complexities depend inve...