The metrical theory of Jacobi-Perron algorithm
Fritz Schweiger.
Bok Engelsk 1973 · Electronic books.
| Omfang | 1 online resource (VIII, 116 p.)
|
|---|---|
| Utgave | 1st ed. 1973.
|
| Opplysninger | Bibliographic Level Mode of Issuance: Monograph. - 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.
|
| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 3-540-47010-7
|
