Limit distributions of expanding translates of certain orbits on homogeneous spaces

Dani S G, Invariant measures of horospherical flows on non-compact homogeneous spaces,Invent. Math. 47 (1978) 101–138

Dani S G, On orbits of unipotent flows on homogeneous spaces,Ergod. Th. Dynam. Sys. 4 (1980) 25–34

Dani S G, Continuous equivariant images of lattice-actions on boundaries,Ann. Math. 119 (1984) 111–119

Dani S G and Margulis G A, Orbit closures of generic unipotent flows on homogeneous spaces of SL(3, ℝ),Math. Ann. 286 (1990) 101–128

Dani S G and Margulis G A, Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces,Proc. Indian Acad. Sci. 101 (1991) 1–17

Dani S G and Margulis G A, Limit distributions of orbits of unipotent flows and values of quadratic forms,Advances in Soviet Math. 16 (1993) 91–137

Dani S G and Raghavan S, Orbits of Euclidean frames under discrete linear groups,Isr. J. Math. 36 (1980) 300–320

Duke W, Rudnick Z and Sarnak P, Density of integer points on affine symmetric varieties,Duke Math J. 71(1993) 143–180

Eskin A and McMullen C, Mixing, counting and equidistribution in Lie groups,Duke Math. J. 71 (1993)181–209

Eskin A, Mozes S and Shah N A, Non-divergence of translates of certain algebraic measures. Preprint

Eskin A, Mozes S and Shah N A, Unipotent flows and counting lattice points on homogeneous varieties.Ann. Math. (to appear)

Garland H and Raghunathan M S, Fundamental domains for lattices in ℝ-rank 1 semisimple Lie groups,Ann. Math. 92 (1970) 279–326

Margulis G A, Quotient groups of discrete subgroups and measure theory, Funct.Anal. Appl. 12 (1978) 295–305

Margulis G A, Arithmeticity of irreducible lattices in semisimple groups of rank greater than 1,Invent Math. 76(1984) 93–120

Mozes S and Shah N A, On the space of ergodic invariant measures of unipotent flows,Ergod. Th. Dynam. Sys. 15 (1978) 149–159

Raghunathan M S,Discrete subgroups of Lie groups. (1972) (Springer: Berlin Heidelberg New York)

Ratner M, On Raghunathan’s measure conjecture,Ann. Math. 134 (1991) 545–607

Ratner M, Raghunathan’s topological conjecture and distributions of unipotent flows.Duke Math. J. 63 (1991) 235–280

Schlichtkrull H,Hyperfunctions and Harmonic Analysis on Symmetric Spaces (1984) (Birkhauser: Boston)

Shah N A, Uniformly distributed orbits of certain flows on homogeneous spaces.Math. Ann. 289 (1991) 315–334

Shah N A, Limit distributions of polynomial trajectories on homogeneous spaces,Duke Math. J. 75 (1994) 711–732

Stuck G, Minimal actions of semisimple groups: InWorkshop on Lie groups, Ergodic theory, and Geometry and problems and Geometric rigidity, April 13–17, 1992, Berkeley. MSRI preprint (August 1992).

Stuck G and Zimmer R J, Stabilizers of ergodic actions of higher rank semisimple groups,Ann. Math. 139 (1994) 723–747

Witte D, Measurable quotients of unipotent translations on homogeneous spaces,Trans. Am. Math. Soc. 345 (1994) 577–594

Zimmer R J, Ergodic theory, semisimple groups, and foliations by manifolds of negative curvature.I.H.E.S. Publ. Math. 55 (1982) 37–62