메뉴 건너뛰기




Volumn 3, Issue 3, 2009, Pages 359-378

Logarithm laws for unipotent flows, I

Author keywords

Diophantine approximation; Geometry of numbers; Logarithm laws; Unipotent flows

Indexed keywords


EID: 70349324177     PISSN: 19305311     EISSN: None     Source Type: Journal    
DOI: 10.3934/jmd.2009.3.359     Document Type: Article
Times cited : (65)

References (16)
  • 3
    • 70349345254 scopus 로고    scopus 로고
    • J. S. Athreya and Y.Minsky, in preparation
    • J. S. Athreya and Y.Minsky, in preparation.
  • 4
    • 0035649332 scopus 로고    scopus 로고
    • Dynamical Borel-Cantelli lemmas for Gibbs measures
    • N. Chernov and D. Y. Kleinbock, Dynamical Borel Cantelli lemmas for Gibbs measures, Israel J.Math., 122 (2001), 1-27.
    • (2001) Israel J. Math. , vol.122 , pp. 1-27
    • Chernov, N.1    Kleinbock, D.Y.2
  • 7
    • 33847398200 scopus 로고    scopus 로고
    • A logarithm law for automorphism groups of trees
    • (Basel)
    • S. Hersonsky and F. Paulin, A logarithm law for automorphism groups of trees, Arch. Math., (Basel), 88 (2007), 97-108.
    • (2007) Arch. Math. , vol.88 , pp. 97-108
    • Hersonsky, S.1    Paulin, F.2
  • 8
    • 0033248118 scopus 로고    scopus 로고
    • Logarithm laws for flows on homogeneous spaces
    • D. Y. Kleinbock and G. A.Margulis, Logarithm laws for flows on homogeneous spaces, Invent. Math., 138 (1999), 451-494.
    • (1999) Invent. Math. , vol.138 , pp. 451-494
    • Kleinbock, D.Y.1    Margulis, G.A.2
  • 9
    • 0003785209 scopus 로고
    • SL(2 ℝ), Springer-Verlag, New York
    • S. Lang, SL(2, ℝ), "Graduate Texts in Mathematics," vol. 105, Springer-Verlag, New York, 1985.
    • (1985) Graduate Texts in Mathematics , vol.105
    • Lang, S.1
  • 10
    • 0009918931 scopus 로고
    • Logarithmic law for geodesics in moduli space
    • Mapping class groups and moduli spaces of Riemann surfaces (Göttingen, 1991/Seattle, WA, 1991), Amer.Math. Soc., Providence, RI
    • H. Masur, Logarithmic law for geodesics in moduli space, Mapping class groups and moduli spaces of Riemann surfaces (Göttingen, 1991/Seattle, WA, 1991), Contemp. Math., vol. 150, Amer.Math. Soc., Providence, RI, (1993), 229-245.
    • (1993) Contemp. Math. , vol.150 , pp. 229-245
    • Masur, H.1
  • 11
    • 33646400560 scopus 로고    scopus 로고
    • Dynamical Borel-Cantelli lemma for hyperbolic spaces
    • F. Maucourant, Dynamical Borel-Cantelli lemma for hyperbolic spaces, Israel J. Math., 152 (2006), 143-155.
    • (2006) Israel J. Math. , vol.152 , pp. 143-155
    • Maucourant, F.1
  • 12
    • 0011006992 scopus 로고
    • Ergodicity of flows on homogeneous spaces
    • C. C.Moore, Ergodicity of flows on homogeneous spaces, Amer. J.Math., 88 (1966), 154-178.
    • (1966) Amer. J. Math. , vol.88 , pp. 154-178
    • Moore, C.C.1
  • 13
  • 14
    • 84963094655 scopus 로고
    • The number of lattice points in a set
    • C. A. Rogers, The number of lattice points in a set, Proc. London Math. Soc., (3), 6 (1956), 305-320.
    • (1956) Proc. London Math. Soc. , vol.6 , Issue.3 , pp. 305-320
    • Rogers, C.A.1
  • 15
    • 34250224475 scopus 로고
    • Disjoint spheres, approximation by imaginary quadratic numbers and the logarithm law for geodesics
    • D. Sullivan, Disjoint spheres, approximation by imaginary quadratic numbers and the logarithm law for geodesics, Acta Mathematica, 149 (1982), 215-237.
    • (1982) Acta Mathematica , vol.149 , pp. 215-237
    • Sullivan, D.1
  • 16
    • 44849096878 scopus 로고    scopus 로고
    • On circle rotations and the shrinking target properties
    • J. Tseng, On circle rotations and the shrinking target properties, Discrete Contin. Dyn. Syst., 20 (2008), 1111-1122.
    • (2008) Discrete Contin. Dyn. Syst. , vol.20 , pp. 1111-1122
    • Tseng, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.