The Metrical Theory of Jacobi-Perron Algorithm. (= Lecture Notes in Mathematics, Band 334).

Schweiger, Fritz:

ISBN 10: 3540063889 / ISBN 13: 9783540063889

Editore: Berlin, Springer, 1973

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111 Seiten Einband etwas berieben, Bibl.Ex., sonst guter und sauberer Zustand 9783540063889 Sprache: Englisch Gewicht in Gramm: 270.

Codice articolo 131416

Dati bibliografici

• Titolo: The Metrical Theory of Jacobi-Perron Algorithm. (= Lecture Notes in Mathematics, Band 334).
• Editore: Berlin, Springer
• Data di pubblicazione: 1973
• Lingua: Inglese
• ISBN 10: 3540063889
• ISBN 13: 9783540063889
• Rilegatura: 8°, Softcover/Paperback
• Edizione: 1.Auflage,.
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Contenuti

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.