Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties at infinity of diffusion semigroups and stochastic flows via
  weak uniform covers   A unified treatment is given of some results of H. Donnelly-P. Li and L.
Schwartz concerning the behaviour of heat semigroups on open manifolds with
given compactifications, on one hand, and the relationship with the behaviour
at infinity of solutions of related stochastic differential equations on the
other. A principal tool is the use of certain covers of the manifold: which
also gives a non-explosion test. As a corollary we obtain known results about
the behaviour of Brownian motions on a complete Riemannian manifold with Ricci
curvature decaying at most quadratically in the distance function.

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The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess