Infinite Excess Entropy Processes with Countable-State Generators
Nicholas F. Travers, James P. Crutchfield · Entropy · 2014
We present two examples of finite-alphabet, infinite excess entropy processes generated by stationary hidden Markov models (HMMs) with countable state sets. The first, simpler example is not ergodic, but the second is. These are the first explicit constructions of processes of this type.