LEADER 02893nam 2200637 450 001 9910480865503321 005 20180613001306.0 010 $a1-4704-0447-8 035 $a(CKB)3360000000465030 035 $a(EBL)3114082 035 $a(SSID)ssj0000973331 035 $a(PQKBManifestationID)11542083 035 $a(PQKBTitleCode)TC0000973331 035 $a(PQKBWorkID)10959536 035 $a(PQKB)10308740 035 $a(MiAaPQ)EBC3114082 035 $a(PPN)195417348 035 $a(EXLCZ)993360000000465030 100 $a20050920h20062006 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMeasure theoretic laws for lim sup sets /$fVictor Beresnevich, Detta Dickinson, Sanju Velani 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2006] 210 4$dİ2006 215 $a1 online resource (110 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 846 300 $a"Volume 179, number 846 (end of volume)." 311 $a0-8218-3827-X 320 $aIncludes bibliographical references (pages 89-91). 327 $a""Contents""; ""Section 1. Introduction""; ""A?1.1. Background: the basic example""; ""A?1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""A?2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""A?2.2. The conditions on the measure and the space""; ""A?2.3. The intersection conditions""; ""A?2.4. The ubiquitous systems""; ""A?2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1"" 327 $a""A?11.2. Completion of the proof""""Section 12. Applications""; ""A?12.1. Linear Forms""; ""A?12.2. Algebraic Numbers""; ""A?12.3. Kleinian Groups""; ""A?12.4. Rational Maps""; ""A?12.5. Diophantine approximation with restrictions""; ""A?12.6. Diophantine approximation in Q[sub(p)]""; ""A?12.7. Diophantine approximation on manifolds""; ""A?12.8. Sets of exact order""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 846. 606 $aDiophantine approximation 606 $aProbabilities 606 $aHausdorff measures 606 $aFractals 608 $aElectronic books. 615 0$aDiophantine approximation. 615 0$aProbabilities. 615 0$aHausdorff measures. 615 0$aFractals. 676 $a510 s 676 $a512.7/3 700 $aBeresnevich$b Victor$f1971-$0958518 702 $aDickinson$b Detta$f1968- 702 $aVelani$b Sanju$f1966- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480865503321 996 $aMeasure theoretic laws for lim sup sets$92171866 997 $aUNINA