000 | 02244nam a22004455i 4500 | ||
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001 | 978-3-540-47010-6 | ||
003 | DE-He213 | ||
005 | 20190213151724.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1973 gw | s |||| 0|eng d | ||
020 |
_a9783540470106 _9978-3-540-47010-6 |
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024 | 7 |
_a10.1007/BFb0059845 _2doi |
|
050 | 4 | _aQA1-939 | |
072 | 7 |
_aPB _2bicssc |
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072 | 7 |
_aMAT000000 _2bisacsh |
|
072 | 7 |
_aPB _2thema |
|
082 | 0 | 4 |
_a510 _223 |
100 | 1 |
_aSchweiger, Fritz. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 4 |
_aThe Metrical Theory of Jacobi-Perron Algorithm _h[electronic resource] / _cby Fritz Schweiger. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1973. |
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300 |
_aVIII, 116 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v334 |
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505 | 0 | _aBasic 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. | |
650 | 0 | _aMathematics. | |
650 | 1 | 4 |
_aMathematics, general. _0http://scigraph.springernature.com/things/product-market-codes/M00009 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662178140 |
776 | 0 | 8 |
_iPrinted edition: _z9783540063889 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v334 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0059845 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11654 _d11654 |