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The Metrical Theory of Jacobi-Perron Algorithm [electronic resource] /
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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| Main Authors: | , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1973
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| Subjects: | Mathematics., Mathematics, general., |
| Online Access: | http://dx.doi.org/10.1007/BFb0059845 |
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KOHA-OAI-TEST:2078132018-07-30T23:38:36ZThe Metrical Theory of Jacobi-Perron Algorithm [electronic resource] / Schweiger, Fritz. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1973.engBasic 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.Mathematics.Mathematics.Mathematics, general.Springer eBookshttp://dx.doi.org/10.1007/BFb0059845URN:ISBN:9783540470106 |
| institution |
COLPOS |
| collection |
Koha |
| country |
México |
| countrycode |
MX |
| component |
Bibliográfico |
| access |
En linea En linea |
| databasecode |
cat-colpos |
| tag |
biblioteca |
| region |
America del Norte |
| libraryname |
Departamento de documentación y biblioteca de COLPOS |
| language |
eng |
| topic |
Mathematics. Mathematics. Mathematics, general. Mathematics. Mathematics. Mathematics, general. |
| spellingShingle |
Mathematics. Mathematics. Mathematics, general. Mathematics. Mathematics. Mathematics, general. Schweiger, Fritz. author. SpringerLink (Online service) The Metrical Theory of Jacobi-Perron Algorithm [electronic resource] / |
| description |
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. |
| format |
Texto |
| topic_facet |
Mathematics. Mathematics. Mathematics, general. |
| author |
Schweiger, Fritz. author. SpringerLink (Online service) |
| author_facet |
Schweiger, Fritz. author. SpringerLink (Online service) |
| author_sort |
Schweiger, Fritz. author. |
| title |
The Metrical Theory of Jacobi-Perron Algorithm [electronic resource] / |
| title_short |
The Metrical Theory of Jacobi-Perron Algorithm [electronic resource] / |
| title_full |
The Metrical Theory of Jacobi-Perron Algorithm [electronic resource] / |
| title_fullStr |
The Metrical Theory of Jacobi-Perron Algorithm [electronic resource] / |
| title_full_unstemmed |
The Metrical Theory of Jacobi-Perron Algorithm [electronic resource] / |
| title_sort |
metrical theory of jacobi-perron algorithm [electronic resource] / |
| publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
| publishDate |
1973 |
| url |
http://dx.doi.org/10.1007/BFb0059845 |
| work_keys_str_mv |
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1756268436782055424 |