{"product_id":"ergodic-theory-entropy-9783540055563","title":"Ergodic Theory Entropy","description":"\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNotation, symbols.- Examples.- Ergodic theorem.- Conditional probabilities and expectations. Doob's martingale theorem.- Entropy and conditional entropy.- Entropy of a Transformation.- The Shannon-McMillan-Breiman theorem.- Mixing, kolmogorov-automorphisms.- Isomorphism of bernoulli shifts sinai and Ornstein's theorems.- Entropy and generators. Krieger's theorem.- Discussion.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":51772017770839,"sku":"9783540055563","price":22.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783540055563.jpg?v=1758729953","url":"https:\/\/bookcurl.com\/products\/ergodic-theory-entropy-9783540055563","provider":"Book Curl","version":"1.0","type":"link"}