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[null,"1.","Record Nr.",null,"UNISA996466648003316"]
[null,null,"Autore",null,"Schweiger Fritz"]
[null,null,"Titolo",null,"The metrical theory of Jacobi-Perron algorithm / / Fritz Schweiger"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; ; Heidelberg : , : Springer-Verlag, , 1973"]
[null,null,"ISBN",null,"3-540-47010-7"]
[null,null,"Edizione",null,"[1st ed. 1973.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VIII, 116 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics ; ; Volume 334"]
[null,null,"Disciplina",null,"515.55"]
[null,null,"Soggetti",null,"Jacobi polynomials"]
[{"$nulls":4},"Algorithms - Computer algorithms"]
[{"$nulls":4},"Ergodic theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"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."]