References
Borel, A.: Introduction aux groupes arithmetiques. Publ. de l'Inst. Math. de l'Univ. de Strassbourg XV. Paris: Hermann 1969
Borel, A., Tits, J.: Groupes réductifs. Publ. Math. I.H.E.S.27, 55–150 (1965)
Dani, S.G.: A simple proof of Borel's density theorem. Math. Z.174, 81–94 (1980)
Dani, S.G.: On orbits of unipotent flows on homogeneous spaces. Ergod. Theory Dyn. Syst.4, 25–34 (1984)
Dani, S.G.: Divergent trajectories of flows on homogeneous spaces and Diophantine approximation. J. Reine Angew. Math.359, 55–89 (1985)
Dani, S.G.: Dynamics of flows on homogeneous spaces. A survey. Proceedings of Coloquio de Systemas Dinamicos (Guanajuato, 1983), Aportacione Mat. 1, Soc. Mat. Mexicana, Mexico City, pp. 1–30, 1985
Dani, S.G.: On orbits of unipotent flows on homogeneous spaces. II Ergod. Theory Dyn. Syst.6, 167–182 (1986)
Dani, S.G.: Orbits of horospherical flows. Duke Math. J.53, 177–188 (1986)
Dani, S.G., Margulis, G.A.: Values of quadratic forms at primitive integral points. C.R. Acad. Sci. Paris, Ser. I,308, 199–203 (1989)
Dani, S.G., Margulis, G.A.: Values of quadratic forms at primite integral points. Invent. Math.98, 405–424 (1989)
Dani, S.G., Margulis, G.A.: Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces (under preparation)
Dani, S.G., Raghavan, S.: Orbits of Euclidean frames under discrete linear groups. Isr. J. Math.36, 300–320 (1980)
Green, L.: Nilflows, measure theory, in: Flows on homogeneous spaces. Ann. Math. Studies. Auslander, L., Green, L., Hahn, F. (eds.). Princeton: Princeton Univ. Press 1963
Hedlund, G.A.: Fuchsion groups and transitive horocycles. Duke Math. J.2, 530–542 (1936)
Howe, R., Moore, C.C.: Asymptotic behaviour of unitary representations. J. Funct. Anal.32, 72–96 (1979)
Margulis, G.A.: Arithmetic properties of discrete subgroups. Usp. Mat. Nauk29, 49–98 (1974); Russ. Math. Surv.29, 107–156 (1974)
Margulis, G.A.: Formes quadratique indefinies et flots unipotents sur les éspaces homogènes. C.R. Acad. Sci. Paris, Ser. I.304, 249–253 (1987)
Margulis, G.A.: Lie groups and ergodic theory. In: Algebra — some current trenes. Proceedings (Varna, 1986), pp. 130–146. Berlin Heidelberg New York: Springer 1988
Margulis, G.A.: Indefinite quadratic forms and unipotent flows on homogeneous spaces. Proceedings of Semester on Dynamical Systems and Ergodic Theory (Warsaw 1986), Banach Centre Publications, Warsaw (to appear)
Margulis, G.A.: Discrete subgroups and ergodic theory, Proceedings of a Conference in honour of Professor A. Selberg (Oslo, 1987) pp. 377–398, New York London: Academic Press 1989
Parry, W.: Ergodic properties of affine transformations and flows on nilmanifolds. Am. J. Math.91, 751–771 (1969)
Raghunathan, M.S.: Discrete subgroups of Lie groups. Berlin Heidelberg New York: Springer 1972
Ratner, M.: Invariant measures for unipotent translations on homogeneous spaces (preprint)
Zimmer, R.J.: Orbit spaces of unitary representations, ergodic theory and simple Lie groups. Ann. Math.106, 573–588 (1977)
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Dedicated to Hans Grauert
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Dani, S.G., Margulis, G.A. Orbit closures of generic unipotent flows on homogeneous spaces ofSL(3, ℝ). Math. Ann. 286, 101–128 (1990). https://doi.org/10.1007/BF01453567
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DOI: https://doi.org/10.1007/BF01453567