| Record ID | ia:metricaltheoryof0000schw |
| Source | Internet Archive |
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001 ocm00745866
003 OCoLC
005 20210706234457.0
008 731030s1973 gw b 000 0 eng
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100 1 $aSchweiger, Fritz.
245 14 $aThe metrical theory of Jacobi-Perron algorithm.
260 $aBerlin,$aNew York,$bSpringer-Verlag,$c1973.
300 $a111 pages$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics, 334
504 $aIncludes bibliographical references (pages 106-111).
650 0 $aNumber theory.
650 0 $aAlgorithms.
650 0 $aMeasure theory.
650 0 $aDiophantine analysis.
650 04 $aszámelmélet$xelemi
650 04 $amértékelmélet$xmatematika
650 6 $aJacobi, Polynomes de.
650 6 $aAlgorithms.
650 6 $aThéorie ergodique.
650 6 $aDimension, Théorie de la (Topologie)
650 6 $aMesure, Théorie de la.
650 7 $aAlgorithms.$2fast$0(OCoLC)fst00805020
650 7 $aDiophantine analysis.$2fast$0(OCoLC)fst00894086
650 7 $aMeasure theory.$2fast$0(OCoLC)fst01013175
650 7 $aNumber theory.$2fast$0(OCoLC)fst01041214
650 7 $aJacobi-Verfahren$2gnd
650 7 $aNumber theory.$2nli
650 7 $aAlgorithms.$2nli
650 7 $aMeasure theory.$2nli
650 7 $aDiophantine analysis.$2nli
776 08 $iOnline version:$aSchweiger, Fritz.$tMetrical theory of Jacobi-Perron algorithm.$dBerlin, New York, Springer-Verlag, 1973$w(OCoLC)655137764
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v334.
856 41 $3Table of contents$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2235184&custom_att_2=simple_viewer
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht000901077.pdf
856 41 $uhttp://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=334
856 4 $3Cover$qapplication/pdf$uhttp://swbplus.bsz-bw.de/bsz010952853cov.htm$v20110329091858
880 0 $6505-00/(S$aBasic definitions -- Cylinders -- Increasing σ-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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