000 02244nam a22004455i 4500
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
024 7 _a10.1007/BFb0059845
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
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.
300 _aVIII, 116 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v334
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