UID:
almahu_9947921477702882
Format:
VIII, 116 p.
,
online resource.
ISBN:
9783540470106
Series Statement:
Lecture Notes in Mathematics, 334
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540063889
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0059845
