The metrical theory of Jacobi-Perron algorithm / / Fritz Schweiger
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| Autore: |
Schweiger Fritz
|
| Titolo: |
The metrical theory of Jacobi-Perron algorithm / / Fritz Schweiger
|
| Pubblicazione: | Berlin ; ; Heidelberg : , : Springer-Verlag, , 1973 |
| Edizione: | 1st ed. 1973. |
| Descrizione fisica: | 1 online resource (VIII, 116 p.) |
| Disciplina: | 515.55 |
| Soggetto topico: | Jacobi polynomials |
| Algorithms - Computer algorithms | |
| Ergodic theory | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| Titolo autorizzato: | Metrical theory of Jacobi-Perron algorithm |
| ISBN: | 3-540-47010-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466648003316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; Volume 334.