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Record Nr. |
UNISA996466648003316 |
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Autore |
Schweiger Fritz |
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Titolo |
The metrical theory of Jacobi-Perron algorithm / / Fritz Schweiger |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg : , : Springer-Verlag, , 1973 |
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ISBN |
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Edizione |
[1st ed. 1973.] |
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Descrizione fisica |
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1 online resource (VIII, 116 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; Volume 334 |
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Disciplina |
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Soggetti |
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Jacobi polynomials |
Algorithms - Computer algorithms |
Ergodic theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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. |
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