Druck auf Anfrage Neuware - Printed after ordering - 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.

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Bibliographic Details

Title

The Metrical Theory of Jacobi-Perron Algorithm

Publisher

Springer Berlin Heidelberg

Publication Date

1973

Language

English

ISBN 10

3540063889

ISBN 13

9783540063889

Binding

Taschenbuch

Condition

Neu

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