## Recent Results in Information Theory |

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### Contents

Introduction | 2 |

Coding Theory of Specific Transmission Channels | 38 |

Concluding remark | 84 |

Copyright | |

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### Common terms and phrases

absolutely continuous asymptotic binary erasure channel binary symmetric channel Blackwell bounds Breiman and Thomasian capacity channel probability function channel with finite code-words coding theorem compound channels computations connected continuous channels corresponding decoding defined definition differential entropy discrete channel discrete memoryless channel Dobrushin encoding entropy rate ergodic theory error function exists exponentially finite memory Gallager given indecomposable channel independent infinite information stability Information Theory information transmission input alphabet input and output input message input signals integer investigated lemma Math measurable space method Moreover mutual information n-sequences necessary and sufficient Nedoma node noise notion of entropy obtained output alphabet pair Pinsker probability distribution probability measure probability of error probability space problem proof properties proved rate of transmission respect Russian sender sequence of channels Shannon-McMillan theorem stationary process Statist stochastic strong converse sufficient conditions symbols Trans transition probabilities two-way channels values Verojatnost weak converse