Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absorptive Continuous R-group Actions on Locally Compact Spaces   We introduce the notion of an R-group of which the clas- sical groups R, Z
and R_+ are typical examples, and we study flows (X;H), where X is a locally
compact space and H is a continuous R- group action on X with the further
property that any compact set is absorbed (in the ordinary meaning in use in
the theory of topological vector spaces) by any neighbourhood of some
characteristic point in X called the center of H. The case where X is a locally
compact abelian group is also considered. We are particularly interested in
discussing the asymptotic properties of H, which is made possible by proving a
deep theorem about the existence of nontrivial H-homogeneous positive measures
on X. Also, a close connection with homogenization theory is pointed out. It
appears that the present paper lays the foundation of the mathematical
framework that is needed to undertake a systematic study of homogenization
problems on manifolds, Lie groups included.

31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin