The Metrical Theory of Jacobi-Perron Algorithm

The Metrical Theory of Jacobi-Perron Algorithm

Bokus

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 le...

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