On the subsystems of topological Markov chains
نویسندگان
چکیده
منابع مشابه
On the Stochastic and Topological Structure of Markov Chains
The classification theory for shifts of finite type (topological Markov chains) in the strictest sense, that is to say, up to topological conjugacy, was initiated by Williams ([17]). Additions to this theory are represented by [1], [4], [6], [7], [11], [12] and [14]. Williams's work can be viewed either as topological or as a combined topological and measure-theoretic theory, where invariant me...
متن کاملCoupling methods for random topological Markov chains
We apply coupling techniques in order to prove that the transfer operators associated with random topological Markov chains and non-stationary shift spaces with the big images and preimages property have a spectral gap.
متن کاملRight-Permutative Cellular Automata on Topological Markov Chains
In this paper we consider cellular automata (G,Φ) with algebraic local rules and such that G is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study the convergence of the Cesàro mean distribution of the iterates of any probability measure with complete connections and summable decay. Subj-class: DS, PR, CO. MSC-class: ...
متن کاملOn random topological Markov chains with big images and preimages
We introduce a relative notion of the ’big images and preimages’-property for random topological Markov chains. This then implies that a relative version of the Ruelle-Perron-Frobenius theorem holds with respect to summable and locally Hölder continuous potentials.
متن کاملTaylor Expansion for the Entropy Rate of Hidden Markov Chains
We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1982
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700001516