In this paper, we analyze the tree reconstruction problem, which is to determine whether symbols at the nth level of the tree provide information on the root as n→∞.This problem has wide applications in various fields such as biology, information theory, and statistical physics, and its...

In this paper, we propose a novel simultaneous two-dimensional continuous-time Markov chain (CTMC) approximation method, in contrast to the existing double-layer approach, to approximate the general fully coupled Markov diffusion processes which cover all the classical models. Extensive...