UID:
almafu_9959185665502883
Format:
1 online resource (VIII, 116 p.)
Edition:
1st ed. 1973.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-47010-7
Series Statement:
Lecture Notes in Mathematics, 334
Note:
Bibliographic Level Mode of Issuance: Monograph
,
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.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-06388-9
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0059845
URL:
http://dx.doi.org/10.1007/BFb0059845
URL:
http://dx.doi.org/10.1007/BFb0059845
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