Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit distributions of expanding translates of certain orbits on
  homogeneous spaces   Let L be a Lie group and Lambda a lattice in L. Suppose G is a non-compact
simple Lie group realized as a Lie subgroup of L, and the image of G on
L/Lambda is dense. Let c be a diagonalizable element of G not contained in a
compact subgroup. Let U be the expanding horospherical subgroup of G associated
to c. Let Omega be a nonempty open subset of U, and {n_i} be a sequence of
natural numbers tending to infinity. It is shown that the image of the union of
the sets c^{n_i}.Omega in L/Lambda is dense. A stronger measure theoretic
formulation of this result is also obtained. Among other applications of the
above result, we describe G-equivariant topological factors of the product
space L/Lambda \times G/P, where the real rank of G is greater than 1, P is a
parabolic subgroup of G, and G acts diagonally. We also describe equivariant
topological factors of unipotent flows on finite volume homogeneous spaces of
Lie groups.

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ