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Shannon-McMillian-Breiman theorem |
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Shannon-McMillian-Breiman theorem [′shan·ən mik′mil·ən ′brī·mən ‚thir·əm] (mathematics) Given an ergodic measure preserving transformationTon a probability space and a finite partition ζ of that space the limit asn→∞ of 1/ntimes the information function of the common refinement of ζ,T-1ζ, …,T-n + 1ζ converges almost everywhere and in theL1metric to the entropy ofTgiven ζ. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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