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The Metrical Theory of Jacobi-Perron Algorithm: 334 (Lecture Notes in Mathematics, 334) - Softcover

 
9783540063889: The Metrical Theory of Jacobi-Perron Algorithm: 334 (Lecture Notes in Mathematics, 334)

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The Metrical Theory of Jacobi-Perron Algorithm The Metrical Theory of Jacobi-Perron Algorithm

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9780387063881: THE METRICAL THEORY OF JACOBI-PERRON ALGORITHM (LECTURE NOTES IN MATHEMATICS, 334)

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Basic 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. 124 pp. Englisch. Seller Inventory # 9783540063889

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