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Record Nr. |
UNINA9910480865503321 |
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Autore |
Beresnevich Victor <1971-> |
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Titolo |
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2006] |
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©2006 |
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ISBN |
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Descrizione fisica |
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1 online resource (110 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 846 |
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Disciplina |
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Soggetti |
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Diophantine approximation |
Probabilities |
Hausdorff measures |
Fractals |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 179, number 846 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 89-91). |
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Nota di contenuto |
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""Contents""; ""Section 1. Introduction""; ""Â1.1. Background: the basic example""; ""Â1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""Â2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""Â2.2. The conditions on the measure and the space""; ""Â2.3. The intersection conditions""; ""Â2.4. The ubiquitous systems""; ""Â2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1"" |
""Â11.2. Completion of the proof""""Section 12. Applications""; ""Â12.1. Linear Forms""; ""Â12.2. Algebraic Numbers""; ""Â12.3. Kleinian Groups""; ""Â12.4. Rational Maps""; ""Â12.5. Diophantine approximation with restrictions""; ""Â12.6. Diophantine approximation in Q[sub(p)]""; ""Â12.7. Diophantine approximation on manifolds""; ""Â12.8. Sets of exact order""; ""Bibliography"" |
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