Infinite Excess Entropy Processes with Countable-State Generators

Autor:	Travers, Nicholas F., Crutchfield, James P.
Rok vydání:	2011
Předmět:	Computer Science - Information Theory Condensed Matter - Statistical Mechanics Mathematics - Probability Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	We present two examples of finite-alphabet, infinite excess entropy processes generated by invariant hidden Markov models (HMMs) with countable state sets. The first, simpler example is not ergodic, but the second is. It appears these are the first constructions of processes of this type. Previous examples of infinite excess entropy processes over finite alphabets admit only invariant HMM presentations with uncountable state sets. Comment: 13 pages, 3 figures; http://csc.ucdavis.edu/~cmg/compmech/pubs/ieepcsg.htm
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.3393 Zobrazit plný text záznamu View this record from Arxiv