{"product_id":"the-metrical-theory-of-jacobi-perron-algorithm-von-f-schweiger","title":"The Metrical Theory of Jacobi-Perron Algorithm","description":"\u003cp\u003eBasic definitions.- Cylinders.- Increasing ?-fields.- Conditional expectations.- Ergodicity of the transformation.- Existence of an equivalent invariant measure.- The ergodic theorem.- Kuzmin's Theorem.- Convergence results.- The Borel-Cantelli lemma of Schmidt-Philipp.- Some extensions of Kuzmin's theorem.- Outer measures.- Hausdorff measures.- Hausdorff dimension.- Billingsley dimension.- Comparison theorems.- The main theorem of dimension theory of Jacobi algorithm.- Ergodic invariant measures.- Volume as approximation measure.- Proof of the conjecture for n=1 and n=2.- The metrical theory of Jacobi-Perron algorithm.- Errata.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540063889\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540063889","offer_id":39425720647773,"sku":"9783540063889","price":26.7,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/7494df35-1def-4cc9-a8c4-b9d9e1a5a5bc.jpg?v=1772260007","url":"https:\/\/shop.autorenwelt.de\/products\/the-metrical-theory-of-jacobi-perron-algorithm-von-f-schweiger","provider":"Autorenwelt Shop","version":"1.0","type":"link"}