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Volumn 63, Issue 1, 1991, Pages 235-280

Raghunathan’s topological conjecture and distributions of unipotent flows

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EID: 84974005577     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-91-06311-8     Document Type: Article
Times cited : (262)

References (27)
  • 2
    • 0039210445 scopus 로고
    • Flows on homogeneous spaces: A new look
    • J. BREZIN AND C. C. MOORE, Flows on homogeneous spaces: a new look, Amer. J. Math. 103 (1981), 571-613.
    • (1981) Amer. J. Math , vol.103 , pp. 571-613
    • Brezin, J.1    Moore, C.C.2
  • 3
    • 0013079401 scopus 로고
    • Invariant measures and minimal sets of horospherical flows
    • S. G. DANI, Invariant measures and minimal sets of horospherical flows, Invent. Math. 64 (1981), 357-385.
    • (1981) Invent. Math , vol.64 , pp. 357-385
    • Dani, S.G.1
  • 5
    • 0039800716 scopus 로고
    • Orbit closures of generic unipotent flows on homogeneous spaces ofSL(3, R)
    • S. G. DANI AND G. A. MARGULIS, Orbit closures of generic unipotent flows on homogeneous spaces ofSL(3, R), Math. Ann. 286 (1990), 101-128.
    • (1990) Math. Ann , vol.286 , pp. 101-128
    • Dani, S.G.1    Margulis, G.A.2
  • 6
    • 0040233674 scopus 로고
    • Values of quadratic forms at primitive integral points
    • S. G. DANI AND G. A. MARGULIS, Values of quadratic forms at primitive integral points, Invent. Math. 98 (1989), 405-424.
    • (1989) Invent. Math , vol.98 , pp. 405-424
    • Dani, S.G.1    Margulis, G.A.2
  • 7
    • 84972558241 scopus 로고
    • Uniform distribution of horocyclic orbits for Fuchsian groups
    • S. G. DANI AND J. SMILLIE, Uniform distribution of horocyclic orbits for Fuchsian groups, Duke Math. J. 51 (1984), 185-194.
    • (1984) Duke Math. J. , vol.51 , pp. 185-194
    • Dani, S.G.1    Smillie, J.2
  • 8
    • 0000059296 scopus 로고
    • Strict ergodicity and transformations of the torus
    • H. FURSTENBERG, Strict ergodicity and transformations of the torus, Amer. J. Math. 83 (1961), 573-601.
    • (1961) Amer. J. Math , vol.83 , pp. 573-601
    • Furstenberg, H.1
  • 9
    • 0002666339 scopus 로고
    • The unique ergodicity of the horocycle flow
    • Lecture Notes in Math., Springer, Berlin
    • H. FURSTENBERG, "The unique ergodicity of the horocycle flow" in Recent Advances In Topological Dynamics, Lecture Notes in Math. 318, Springer, Berlin, 1972,95-115.
    • (1972) Recent Advances In Topological Dynamics , vol.318 , pp. 95-115
    • Furstenberg, H.1
  • 10
    • 19544390510 scopus 로고
    • Group structure and pointwise ergodic theorem for connected amenable groups
    • P. GREENLEAF AND W. R. EMERSON, Group structure and pointwise ergodic theorem for connected amenable groups, Adv. in Math. 14 (1974), 153-172.
    • (1974) Adv. in Math , vol.14 , pp. 153-172
    • Greenleaf, P.1    Emerson, W.R.2
  • 11
    • 84956249171 scopus 로고
    • Fuchsian groups and transitive horocycles
    • G. A. HEDLUND, Fuchsian groups and transitive horocycles, Duke Math. J. 2 (1936), 530-542.
    • (1936) Duke Math. J , vol.2 , pp. 530-542
    • Hedlund, G.A.1
  • 13
    • 84967743518 scopus 로고
    • Discrete subgroups and ergodic theory
    • Honor of A. Selberg, Oslo
    • G. A. MARGULIS, Discrete subgroups and ergodic theory, Proc. of the Conference in Honor of A. Selberg, 1989, Oslo.
    • (1989) Proc. of the Conference
    • Margulis, G.A.1
  • 14
    • 84972507028 scopus 로고
    • The Mautner phenomenon for general unitary representations
    • C. C. MOORE, The Mautner phenomenon for general unitary representations, Pacific J. Math. 86(1980), 155-169.
    • (1980) Pacific J. Math , vol.86 , pp. 155-169
    • Moore, C.C.1
  • 15
    • 51249179168 scopus 로고
    • Entropy and isomorphism theorems for actions of amenable groups
    • D. ORNSTEIN AND B. WEISS, Entropy and isomorphism theorems for actions of amenable groups, J. Analyse Math. 48 (1987), 1-140.
    • (1987) J. Analyse Math , vol.48 , pp. 1-140
    • Ornstein, D.1    Weiss, B.2
  • 16
    • 0007201947 scopus 로고
    • Ergodic properties of affine transformations and flows on nilmanifolds
    • W. PARRY, Ergodic properties of affine transformations and flows on nilmanifolds, Amer. J. Math. 91 (1969), 757-771.
    • (1969) Amer. J. Math , vol.91 , pp. 757-771
    • Parry, W.1
  • 18
    • 0037595703 scopus 로고
    • Strict measure rigidity for unipotent subgroups of solvable groups
    • M. RATNER, Strict measure rigidity for unipotent subgroups of solvable groups, Invent. Math. 101 (1990), 449-482.
    • (1990) Invent. Math , vol.101 , pp. 449-482
    • Ratner, M.1
  • 19
    • 0037595704 scopus 로고
    • On measure rigidity of unipotent subgroups of semisimple groups
    • M. RATNER, On measure rigidity of unipotent subgroups of semisimple groups, Acta Math. 165 (1990), 229-309.
    • (1990) Acta Math , vol.165 , pp. 229-309
    • Ratner, M.1
  • 20
    • 0000420681 scopus 로고    scopus 로고
    • On Raghunathan’s measure conjecture
    • to appear
    • M. RATNER, On Raghunathan’s measure conjecture, to appear in Ann. of Math.
    • Ann. of Math
    • Ratner, M.1
  • 21
    • 0001349056 scopus 로고
    • Horocycle flows: Joinings and rigidity of products
    • M. RATNER, Horocycle flows: joinings and rigidity of products, Ann. of Math. 118(1983), 277-313.
    • (1983) Ann. of Math , vol.118 , pp. 277-313
    • Ratner, M.1
  • 22
    • 84967708592 scopus 로고
    • Distribution rigidity for unipotent actions on homogeneous spaces
    • M. RATNER, Distribution rigidity for unipotent actions on homogeneous spaces, Bull. Amer. Math. Soc. 24 (1991), 321-325.
    • (1991) Bull. Amer. Math. Soc , vol.24 , pp. 321-325
    • Ratner, M.1
  • 26
    • 0039952474 scopus 로고
    • Zero entropy affine maps on homogeneous spaces
    • D. WITTE, Zero entropy affine maps on homogeneous spaces, Amer. J. Math. 109(1987), 927-961.
    • (1987) Amer. J. Math , vol.109 , pp. 927-961
    • Witte, D.1
  • 27
    • 0040545475 scopus 로고
    • Rigidity of some translations on homogeneous spaces
    • D. WITTE, Rigidity of some translations on homogeneous spaces, Invent. Math. 81 (1985), 1-27.
    • (1985) Invent. Math , vol.81 , pp. 1-27
    • Witte, D.1


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