The Metrical Theory of Jacobi-Perron Algorithm

F. Schweiger

ISBN 10: 3540063889 / ISBN 13: 9783540063889

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1973, 1973

About this Item

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

Bibliographic Details

• Title: The Metrical Theory of Jacobi-Perron Algorithm
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1973
• Publication Date: 1973
• Language: English
• ISBN 10: 3540063889
• ISBN 13: 9783540063889
• Binding: Taschenbuch
• Condition: Neu