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140122 ||| eng |
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|a 9783540470106
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1 |
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|a Schweiger, F.
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| 245 |
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|a The Metrical Theory of Jacobi-Perron Algorithm
|h Elektronische Ressource
|c by F. Schweiger
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| 250 |
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|a 1st ed. 1973
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1973, 1973
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| 300 |
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|a VIII, 116 p
|b online resource
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|a 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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| 653 |
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|a Mathematics
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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|a Lecture Notes in Mathematics
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|a 10.1007/BFb0059845
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| 856 |
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|u https://doi.org/10.1007/BFb0059845?nosfx=y
|x Verlag
|3 Volltext
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|a 510
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