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Does anyone know of an easy proof of Shannon-McMillan-Brieman Theorem? Thanks

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Why, do you know an ugly proof? – Igor Rivin Nov 30 2011 at 14:36
I agree with Igor Rivin's comment: please try to phrase your question in a more useful and less subjective way. – Pete L. Clark Nov 30 2011 at 17:44

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In addition to Igor's answer, there's also:

D. Ornstein and B. Weiss, "The Shannon-McMillan-Breiman theorem for a class of amenable groups", Israel J. Math. 44 (1983), 53-60.

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http://www.yaroslavvb.com/papers/algoet-sandwich.pdf is pretty nice.

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The OP changed the question to "easy" proof, but this still qualifies. – Igor Rivin Nov 30 2011 at 19:37
Thank you very much Igor! – Mahsa Allahbakhshi Nov 30 2011 at 19:42

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