ergodic theory and information

By: Contributor(s): Language: English Series: wiley series in probability and mathematical statistics | tracts on probability and statistics | bradley, ralph a. (ed.) | hunter, stuart j. (ed.) | kendall, david g. (ed.) | et alPublication details: new york, london, sydney : john wiley and sons 1965Edition: 1. edDescription: xiii, 193 pp
Contents:
from the table of contents: ergodic theory: measure-preserving transformations; proof of the ergodic theorem; further examples; application to continued fractions; entropy: the problem of isomorphism; properties of h(a) and h(a,t); properties of h(t); the completeness problem; conditional probability and expectation: conditional probability; conditional expectation; a convergence theorem; convergence of entropy: a generalization of conditional entropy; the shannon-mcmillan-breiman theorem; a connection with dimension theory; coding: the coding theorem for the noiseless channel; the noisy channel; the coding theorem for the noisy channel; feinstein's theorem; block codes;
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Item type Current library Shelving location Call number Status Date due Barcode
Loanable Institute for Advanced Studies (IHS) Book 3942-A Available IHS101100802

from the table of contents: ergodic theory: measure-preserving transformations; proof of the ergodic theorem; further examples; application to continued fractions; entropy: the problem of isomorphism; properties of h(a) and h(a,t); properties of h(t); the completeness problem; conditional probability and expectation: conditional probability; conditional expectation; a convergence theorem; convergence of entropy: a generalization of conditional entropy; the shannon-mcmillan-breiman theorem; a connection with dimension theory; coding: the coding theorem for the noiseless channel; the noisy channel; the coding theorem for the noisy channel; feinstein's theorem; block codes;

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