The Metrical Theory of Jacobi-Perron Algorithm
Schweiger, F.
Sold by Buchpark, Trebbin, Germany
AbeBooks Seller since September 30, 2021
Used - Soft cover
Condition: Used - Fine
Ships from Germany to U.S.A.
Quantity: 1 available
Add to basketSold by Buchpark, Trebbin, Germany
AbeBooks Seller since September 30, 2021
Condition: Used - Fine
Quantity: 1 available
Add to basketZustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.
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