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Publication date: 1983

Full work available at URL: https://eudml.org/doc/27708

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

survey entropy coding ergodic theory of measure theoretic dynamical systems

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants (28D20) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) Measures of information, entropy (94A17) Information theory (general) (94A15)

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Cites Work

The finitary isomorphism theorem for Markov shifts
Channels with almost finite memory
Topological entropy and equivalence of dynamical systems
Finite generators for ergodic, measure-preserving transformations
Universal noiseless coding
Topological Entropy
Intrinsic Markov Chains
ON METRIC INVARIANTS OF ENTROPY TYPE
The rate distortion function for a class of sources
Similarity of automorphisms of the torus
Differentiable dynamical systems
On Entropy and Generators of Measure-Preserving Transformations
A partition on a Bernoulli shift which is not weakly Bernoulli
Coding of sources with unknown statistics--II: Distortion relative to a fidelity criterion
Computation of channel capacity and rate-distortion functions
The isomorphism problem in ergodic theory
On the isomorphism problem for Bernoulli schemes
Ergodic sets
The Basic Theorems of Information Theory
Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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A Mathematical Theory of Communication
On obtaining a stationary process isomorphic to a given process with a desired distribution
On coding a stationary process to achieve a given marginal distribution
Generators of an abelian group of invertible measure-preserving transformations
Factors and extensions of full shifts
Almost topological dynamical systems
Asymptotically mean stationary measures
Abstract alphabet sliding-block entropy compression coding with a fidelity criterion
On the transmission of Bernoulli sources over stationary channels
Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels
Selecting universal partitions in ergodic theory
Conditional pressure and coding
Generators for amenable group actions
Ergodic theory. Introductory lectures
A generalization of Ornstein's \(\overline d\) distance with applications to information theory
The ergodic theory of axiom A flows
Endomorphisms of a Lebesgue space. III
On marginal distributions and isomorphisms of stationary processes
Nonblock source coding with a fidelity criterion
Smooth partitions of Anosov diffeomorphisms are weak Bernoulli
A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space
Ergodic theory on compact spaces
Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
A class of finitary codes
Equivalence of topological Markov shifts
The information cocycle and \(\varepsilon\)-bounded codes
Bernoulli schemes of the same entropy are finitarily isomorphic
An application of ergodic theory to probability theory
On the approximation of stationary measures by periodic and ergodic measures
Bernoulli shifts with the same entropy are isomorphic
On isomorphism of weak Bernoulli transformations
Ergodic theory, entropy
On the prevalence of zero entropy
Factors of Bernoulli shifts are Bernoulli shifts
Coding theorems for individual sequences
Finitary Codings and Weak Bernoulli Partitions
Finitary codes and the law of the iterated logarithm
On the algorithmic foundation of information theory
Finitary Isomorphisms with Finite Expected Code Lengths
Ergodic theory of amenable group actions. I: The Rohlin lemma
Zero-error stationary coding over stationary channels
Mutual information rate, distortion, and quantization in metric spaces
Block coding for weakly continuous channels
Sliding-block coding for weakly continuous channels
Extension of source coding theorems for block codes to sliding-block codes
On the minimum rate for strong universal block coding of a class of ergodic sources
Characterizations of<tex>d</tex>-total boundedness for classes of B sources
Information-singularity and recoverability of random processes
Asymptotically mean stationary channels
Indecomposable finite state channels and primative approximation
Source coding theorems without the ergodic assumption
The ergodic decomposition of stationary discrete random processes
Endomorphisms of a Lebesque Space II
Sliding-block source coding
Endomorphisms of irreducible subshifts of finite type
Information-singular random processes
Fixed rate universal block source coding with a fidelity criterion
Process definitions of distortion-rate functions and source coding theorems
Variable rate coding for nonergodic sources and classes of ergodic sources subject to a fidelity constraint
A Note on Cocycles of Unitary Representations
Sliding-block joint source/noisy-channel coding theorems
A Finitary Classification of Topological Markov Chains and Sofic Systems
Variable-rate coding for classes of sources with generalized alphabets
Block and sliding-block source coding
Variable-rate universal block source coding subject to a fidelity constraint
Block coding for an ergodic source relative to a zero-one valued fidelity criterion
Compression of individual sequences via variable-rate coding
Almost block independence
A unified approach to weak universal source coding
On the strong mixing and weak Bernoulli conditions
Block coding for discrete stationary<tex>d</tex>-continuous noisy channels
Stationary coding of processes
Finitary codes between Markov processes
Fixed-rate universal codes for Markov sources
New results on coding of stationary nonergodic sources

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