02893nam 2200637 450 991048086550332120180613001306.01-4704-0447-8(CKB)3360000000465030(EBL)3114082(SSID)ssj0000973331(PQKBManifestationID)11542083(PQKBTitleCode)TC0000973331(PQKBWorkID)10959536(PQKB)10308740(MiAaPQ)EBC3114082(PPN)195417348(EXLCZ)99336000000046503020050920h20062006 uy| 0engur|n|---|||||txtccrMeasure theoretic laws for lim sup sets /Victor Beresnevich, Detta Dickinson, Sanju VelaniProvidence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (110 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 846"Volume 179, number 846 (end of volume)."0-8218-3827-X Includes bibliographical references (pages 89-91).""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""Memoirs of the American Mathematical Society ;no. 846.Diophantine approximationProbabilitiesHausdorff measuresFractalsElectronic books.Diophantine approximation.Probabilities.Hausdorff measures.Fractals.510 s512.7/3Beresnevich Victor1971-958518Dickinson Detta1968-Velani Sanju1966-MiAaPQMiAaPQMiAaPQBOOK9910480865503321Measure theoretic laws for lim sup sets2171866UNINA