TY  - BOOK
AU  - Schweiger,Fritz
ED  - SpringerLink (Online service)
TI  - The Metrical Theory of Jacobi-Perron Algorithm
T2  - Lecture Notes in Mathematics,
SN  - 9783540470106
AV  - QA1-939 
U1  - 510 23
PY  - 1973///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Mathematics, general
N1  - 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
UR  - http://dx.doi.org/10.1007/BFb0059845
ER  -