The metrical theory of Jacobi-Perron algorithm
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
334 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The metrical theory of Jacobi-Perron algorithm, Fritz Schweiger,..., Berlin, Springer, 1973, 1 vol. (111 p.), Lecture notes in mathematics, 0-387-06388-9 • The Metrical Theory of Jacobi-Perron Algorithm, Texte imprimé, 9783662178140 |
Table des matières:
- 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.